diff --git "a/data/dm_maths/full_data_2/10734_11255.jsonl" "b/data/dm_maths/full_data_2/10734_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10734_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate prob of picking 1 n, 1 u, and 1 l when three letters picked without replacement from {l: 1, n: 2, u: 2, e: 1, p: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/499?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 193792?\nAnswer: -193791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**7\/210 - a**6\/120 - a**5\/60 + a**4\/24 - 13*a**2. Factor c(v).\nAnswer: v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 87336.\nAnswer: 87336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 3*m + 15, 7 = -4*m - 9. Suppose 532 = -11*t + v*t. Round t to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2809900 to the power of 1\/3, to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -95 - 6*m + 92 - 9*m. Let t = 9 - 10. Let g be r(t). Solve 5*x - x + g = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 - 203435?\nAnswer: -204002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 264*o - 3285.\nAnswer: -3*(o + 15)*(o + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 25 = 2*f + v, -4*f - 4*v = 28. Let w = -50955 + 50941. Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5446 + 5445.9999514. What is k rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 417*t**2 + 27*t - 234. Let s(q) = 32*q**2 + 2*q - 18. Let h(c) = -27*s(c) + 2*v(c). Differentiate h(x) with respect to x.\nAnswer: -60*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12627626287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/60 + (-2)\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*3*28\/(-12). Let t = 21 + -14. What is the highest common divisor of k and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 2*f - 3*f + 6*f. Let r(v) = -3*v. Let j(o) = -12*p(o) - 5*r(o). Let q(g) = 0*g**2 - 3*g**2 + 4*g**2. Calculate q(j(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of h**6\/120 - h**5\/30 + h**4\/24 + 63*h**2. Suppose z(a) = 0. What is a?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3 + 17*q**3 - 2*q**3 + 2*q - 36*q**3 + 4. Let x(a) = a**2 + 6*a + 4. Let z be x(-5). Calculate the remainder when o(z) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-6)*-2 + 9. Solve 5*y = b + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 7. Suppose -p = -2*l - 4*p + 27, -20 = -5*l + 2*p. Calculate u(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c3 (base 15) in base 6?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 92 - 87 = 3*u, 0 = -2*u - 3*j + 8. Sort 3, 2, -4, u.\nAnswer: -4, u, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 79?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2218473*x**5 - 1700021*x?\nAnswer: -44369460*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**24)**18\/(o\/(o*o**(-1\/16)*o*o)*(o\/(o\/(o*o**(-2\/87)*o*o)))\/o*o) assuming o is positive.\nAnswer: o**(599897\/1392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -40751, -163269, -367459, -653315, -1020831, -1470001?\n\"Answer: t**3 - 40842*t**2 + t + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2760 = 235. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1878 and 69\/14?\nAnswer: 13146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 (base 11) in base 14?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0839383 to three dps.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14731, -29460, -44189, -58918, -73647?\nAnswer: -88376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, 3\/7, 0.6914, -1\/5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = 2*s - 475. Let g = -121 + s. Is 3 a factor of (-8)\/(-24) + g\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 3)*(-11*k**4 - k**4 - 4*k**4) + k**2 - k**4 - k**2)*(-2 + 2 + 1).\nAnswer: -17*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (46\/(-1035))\/(3 - (-32)\/(-10))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6 + 0*t + 3*t + 2*t - 3*t**2 + 4*t**2. What is the tens digit of f(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -4*k**2 + 44*k - 10. Calculate the smallest common multiple of 63 and a(10).\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let x(l) = -3*l**2 + 3*l - 4. Give 4*p(s) - x(s).\nAnswer: 3*s**2 + s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 131\/(10480\/2400)*3\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 870?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5033*i**4 + i**3 + 1192 wrt i?\nAnswer: 20132*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -371*j**3 - 7*j**2 - 335*j. Let w(l) = 186*l**3 + 3*l**2 + 169*l. Let t(i) = -3*o(i) - 7*w(i). What is the second derivative of t(z) wrt z?\nAnswer: -1134*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5*s - 2*i**3*s**2 - 11*i**3 - 608*i*s**2 wrt i.\nAnswer: -20*i**3*s - 12*i*s**2 - 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 63561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence prsc when four letters picked without replacement from {l: 1, v: 1, p: 1, r: 1, c: 2, s: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54395 and 4455.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/4))**(-3)*h*h**(-12\/7)*h**(-5\/4) assuming h is positive.\nAnswer: h**(-59\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uw when two letters picked without replacement from ourew.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*h = 14, 3*h - 11 = -5*m + 24. Suppose -5*b - 94 = -3*y, -4*y - m*b + 2*b + 67 = 0. Let q = y - 11. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -4*g - 2*y + 14, 5*g = y + 7. Suppose 0 = 2*z - z. What is the third derivative of -a**2 + z*a - g*a**3 + 0*a wrt a?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9069 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2682 + 2682. Solve m = 11*g + 430 - 430 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -125?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14867678767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13004, 12127, 11238, 10331, 9400, 8439?\nAnswer: 7442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19368 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.78 + -6. Let q = 0.12 + i. Sort -2, 0.04, q in ascending order.\nAnswer: -2, q, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 5*s**2 + s - 7. Let p be r(5). What is the units digit of 8\/5 + p\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*-125*(40\/35 - 1). Let r = o - -89. What is the closest to -0.2 in r, -0.3, -3\/8?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -15.1. Let r = -0.9 + v. Let y = -705\/8 + 88. What is the nearest to r in 1\/2, -1\/5, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -41*l - 7. Let i be g(-5). Suppose 13*s - 660 = -17*s. Calculate the greatest common divisor of s and i.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 53, 64, 77, 92, 109?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14902306987 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -26 - 6*b + b**2 + 15 - 8. Let l be x(8). Let f(v) = -15*v + 8. Is f(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -13. Suppose -3*b + 4*b = 4, 0 = -4*z + 3*b + n. Solve 4*d = -c + 5, -5 - 1 = -z*d - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - g)*(-1 - 1 + 4) - 4*g + 4*g + g - 5*g + g + g - g + 0 + 0.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-1 + sqrt(2736) + -2 - sqrt(2736)) + -5 + -2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + t + 27, -5*d + 3*d + 18 = -2*t. Is (-205637)\/(-38) - d\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*k + 185 = 61 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69)\/(-33) - (3 + (-416)\/143). Solve -143*t - y = -145*t + 4, 2 = t - h*y for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 3045 = 223. Let u = 174 - k. Solve -6 = -x - s, -2*x - 2*s + 18 = u*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -18892 and -2.\nAnswer: -18894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.161 - 0.039. Which is the nearest to -1? (a) f (b) 1\/9 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/20*12)\/((-3)\/(-2)). Let x be (0 + 15\/(-9))*k\/5. Suppose x*t**4 + 16\/3*t - 4\/3*t**3 - 2*t**2 - 8\/3 = 0. Calculate t.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(16)\/sqrt(2)*2) + sqrt(190)\/(sqrt(80)\/(-1*sqrt(8))).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2074?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 185512, 185519, 185528, 185539, 185552, 185567?\n\"Answer: t**2 + 4*t + 185507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 124, 125, 128, 133, 140?\n\"Answer: o**2 - 2*o + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**2*o + 52*d**2 + 9*o wrt o?\nAnswer: -2*d**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -3*x**2 + 6*x - 4. Let g(k) = 6*k**2 + 8*k - 5 - 10*k**2 - k. Give -4*g(r) + 5*p(r).\nAnswer: r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = -9*x + 70. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6\/5 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 4468433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 242*z**5\/7 - 748*z**4\/7 + 842*z**3\/7 - 408*z**2\/7 + 72*z\/7.\nAnswer: 2*z*(z - 1)**2*(11*z - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/9 and -46\/75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 5*z + 5. Suppose 3*f = -2*f + 10. Let n be d(f). Suppose 0 = n*s - 6*s - 10. Sort -0.2, -0.1, s in increasing order.\nAnswer: -0.2, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70642, 141282, 211918, 282550, 353178, 423802?\nAnswer: 494422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*z + 11*z - 11*z)*(-z**2 + z**2 + z**3).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -2*k**3 - 11300*k**2 - 15870466*k + 256828448 = 0.\nAnswer: -2833, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 15240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.4137 meters in centimeters?\nAnswer: 18941.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*b - 3*k - 3, -k = 1. Solve -4*j + 2*f + 8 - 4 = b, -5*f = 4*j + 24 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -261*b**2. Let y(w) = 35*w**2. What is h(y(l))?\nAnswer: -319725*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -193, -373, -549, -721, -889, -1053, -1213?\nAnswer: -1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1261393, 1261359, 1261329, 1261303?\nAnswer: 1261281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16218, 1\/3, 2, 1\/6, -0.05, -3\/11?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 660718?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - b)*(4 - 2 - 5 + (1 - 4 + 1)*(0 - 4 + 3)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 119)*((-47)\/(17061\/(-154)) - (-1)\/(-11)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -131 (base 7) to base 6\nAnswer: -155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79278?\nAnswer: 2, 3, 73, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 27402*w**2 - 256*w - 1006. Let b be a(-4). Round b to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2999?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 1)\/(-1 - 1). Let n(u) = u**2 - u - 1. Let p be n(l). Which is smaller: p or -1\/14?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1292608 and 1330.\nAnswer: 45241280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, x: 4, s: 1, j: 1, t: 2, u: 3}. Give prob of picking 1 j and 1 x.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1681 - 0.1058. Let f = -0.4623 + t. Round f to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 117.831758131618 and -2?\nAnswer: 119.831758131618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 5*j**2 + 12*j - 106. Let c be i(6). Suppose -4*b + 23 = 3*o, c*b + 22 = 2*o - 2*b. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 times -0.21?\nAnswer: -90.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = w - 38776, h - 7*w - 38770 = -10*w. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26249 is divided by 4347.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 16, m: 2}. What is prob of picking 1 m and 2 q?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4412920, 8825774, 13238628, 17651482, 22064336, 26477190?\n\"Answer: 4412854*y + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1690*f + 1674*f - 3364*f + 3135*f**2.\nAnswer: 3135*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 142 + -78. Let h be (-497)\/(-21) - 1\/(-3). Suppose -4*i = -4*z - 72, 4*z = -0*i - 2*i + h. What is the highest common factor of i and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 4582 (c) 128.4 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of o**6\/40 - o**5\/60 + o**4\/12 - o**3\/6 + 2*o**2. Let x = 4 + -3. What is the units digit of c(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 68\/20 + (-9)\/(-15). Suppose l*f + 0*f - w - 825 = 0, 2*w = 2*f - 420. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a - a - a)*(-5*a**3 + 2*a**3 - 3*a**3) - 7*a**3 + 69*a**2 - 73*a**2 - a**4 + 2*a**3 as x + s*a**3 + z*a**4 + n*a**2 + p*a and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 24. Let n be g(-10). Sort -2, 2, n in decreasing order.\nAnswer: n, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1640823702 and 588.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 297854390 to the power of 1\/4, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000754 rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3434880 and 1920?\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 43. Let h be (2\/3)\/(12\/k). Solve -l = w - 1, 7*w - 2*w - h*l - 12 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/(-96))\/(102\/(-96) - -1)*50\/(-4).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 21*c**3 - 6*c**2 - 38*c + 81. Let j be k(5). What is the highest common factor of j and 728?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {v: 5, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2270*n**2 - 197*n - 2. Let o(j) = -16*j. Give o(f(s)).\nAnswer: -36320*s**2 + 3152*s + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*x - 4*t, -2*x + 60 = x - t. Let j(h) = -2*h + 2. What is the remainder when x is divided by j(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -8471.\nAnswer: -8471.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u**3 + u**2 - 2*u**3 - 3*u**2 + (-u**2 - u**2 + 3*u**2)*(4*u - 5*u - u) - 3 - u**3 + 3)*(-6 + 6 - 6).\nAnswer: -42*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 0 + 6*(sqrt(2) + -2 - sqrt(2)) + sqrt(2))*-6.\nAnswer: -6*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.532065ug to tonnes.\nAnswer: 0.000000000002532065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -123581512 by -4.\nAnswer: 30895378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:56 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54936 and 2520.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -230298.5594484 - 11.4513516. Let h = 230359 + t. Let k = 49 - h. Round k to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13\/4 + b**2 - 53\/4*b.\nAnswer: (b - 13)*(4*b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4885.9839 to the nearest 10.\nAnswer: -4890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + l. Let g(k) = k**2 - 4*k + 1. Determine -4*a(r) - 2*g(r).\nAnswer: 2*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 6*w - 5. Let n be m(5). Suppose n = -9*l + 10*l - 16. Calculate the remainder when 57 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 28085.\nAnswer: 56170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*m = -44, -4*w - w = 4*m - 47. Let l = w - 7. Suppose -5*k + k + 20 = l. Let f(i) = i**2 - 5*i + 5. Calculate f(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3469770 and 426?\nAnswer: 3469770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 5 - 25. Let n be 2 + (t\/(-9) - 0). Suppose -4*d + 14*d = -20. Sort -0.5, n, d in ascending order.\nAnswer: d, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149759 + -2457939173.\nAnswer: -2457789414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.1 - 23.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 111*d**4*f*g + d**3*g - 2*d**2*f*g - 2*d**2*f - 28*d*f*g + 3*f*g wrt d?\nAnswer: 2664*d*f*g + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221800, 220709, 218890, 216343, 213068, 209065?\nAnswer: 204334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q + 73. Let x be z(-23). Suppose v + x = u + 4*v, 2*u + 4*v = 8. Sort 2, -22, u.\nAnswer: -22, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*i + 12, 2*o + i + 6 = -3. Let g = -5 - o. What is the nearest to g in -3, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4547452.5 nanoseconds?\nAnswer: 0.00000126318125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 117, 180, 253, 342, 453, 592, 765?\n\"Answer: y**3 - y**2 + 59*y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.91584 and 8.\nAnswer: 23.32672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 14*d + 12. List the prime factors of a(7).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 142 + -20?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 8*l**2 + 2*l**2 - 8*l**2)*(28*l - l + 5*l).\nAnswer: 64*l**3 - 448*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 - 6 + 1)*(-6142 - 265*u + 6142) to r + d*u and give d.\nAnswer: 3975","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.235476 - 0.2334. Round o to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2\/12 + (-125)\/(-15). Sort 3, -2, t, -3 in decreasing order.\nAnswer: t, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-15))\/(-3 + 48\/15). Solve t*g = 0, 0*g + 2 = -a + 2*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(200))**2 + (sqrt(2) + 0 + -3)*-4.\nAnswer: -44*sqrt(2) + 216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 428 and 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 28\/49 - 258\/(-14). Is b greater than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/8 + 4285*k**3\/2 + 36713879*k**2\/4 - 36726735*k\/2 + 73462041\/8.\nAnswer: (k - 1)**2*(k + 8571)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 118 = 4*m, -546 = m - 2*i - 568. Let j = 8 + -4. Suppose 4*n + s = n + 28, -j*n - 3*s = -44. What is the least common multiple of m and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530*h - 4*h**3 + 490 + 2*h**3 + 454*h - 3*h**2 - 487.\nAnswer: -2*h**3 - 3*h**2 + 984*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1151538261 from -24.\nAnswer: 1151538237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -210213302233 (base 4) to base 3.\nAnswer: -200001201222001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8018.\nAnswer: 2, 19, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 5*q - 5*r + 2*r, 0 = 5*q + 4*r + 46. Suppose 6*k = k - 15. Suppose 2*v = 100*g - 99*g - 14, 4*g = 3*v + 26. Put g, q, 3, k in descending order.\nAnswer: 3, g, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088)*3*2 + -4 - ((sqrt(1088)*-1 + 2 - sqrt(1088)) + (sqrt(1088) - (1 + sqrt(1088) + 4)))) + 1)**2.\nAnswer: 69632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14282 times -0.2\nAnswer: -2856.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 2*s - 19. Let c be v(3). Calculate the greatest common divisor of 140 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -572*k**3 - k**2 + 2*k + 3. What is the tens digit of s(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/138730 and -95\/35709102?\nAnswer: 178545510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3326)\/4)\/((-9)\/18). Suppose 491 - 2971 = 4*z. Let c = b + z. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.006 - 0.1484. What is s rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t + 117. Let y be g(0). Suppose -k - y = -10*k. Suppose 2*q = k*q. Solve o - 3 - 2 = q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**3 + 48*f**2 - 49*f - 2. Let d(q) = -3*q**3 + q - 1. Let p(w) = -2*d(w) + u(w). Factor p(y).\nAnswer: 3*y*(y - 1)*(y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1392235 to the power of 1\/2, to the nearest integer?\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*b**3 + 38 + 11855*b**4 + 486*b**2 + 2*b + 0*b**3 - 519*b**2 wrt b?\nAnswer: 284520*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-8)*(-2)\/(-7)*28)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 722, 1, -2.42?\nAnswer: -2.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 315 - 189. What is the greatest common divisor of 168 and p?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7270, 29065, 65388, 116239, 181618?\n\"Answer: 7264*n**2 + 3*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*i - 112*i = 1677. Let k = i + 571. What is the remainder when 311 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12939.\nAnswer: 3, 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - ((-309)\/45 - -4))*6. Suppose 2*i - 1 = -5*n + 5*i, 5*n - i = 7. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-2 - 2) + 5 + -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 75.1 - 0.\nAnswer: 75.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 - 3*t - 1. Suppose 78*g + 128 = 46*g. Determine z(g).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-249)\/581 - (-141)\/231. Which is the nearest to 1? (a) v (b) 3\/35 (c) 0.4 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46.6 - -47. What is the second biggest value in -0.2, -112\/5, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -130555, -261243, -391931, -522619, -653307?\n\"Answer: -130688*u + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63585?\nAnswer: 3, 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8627, 8632, 8637, 8642, 8647?\nAnswer: 8652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 3*k. Suppose 2*z - 14 = a + 3*a, z + k*a = -1. Calculate the least common multiple of z and 32.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02 + -0.22. Let v = -6 - -5.9. Let m = 0 - v. What is the second biggest value in u, m, 2\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 7 = -4*y - r, 5*y = -r + 5. Suppose u + v = -y*v - 13, 5*u - 2*v = 3. Let h = -38.9 - -39. What is the nearest to 0 in h, u, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -457344, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**2 - 3*t - 123. Calculate b(-13).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4574587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, -33, 4 in ascending order.\nAnswer: -33, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u + 3*u - 3*u - 3 + 3 + u + 1 - 1 + 2*u + (-2*u + 6*u - 3*u)*(0 + 0 - 2) + u + 0 + 0 + 5*u + 2*u - 5*u - 5*u + 9*u - 2 + 0*u to w*u + n and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y**2. Let k(x) = 7*x**2 - 29 - 103 - 100 - 87 - x + 15. What is k(s(i))?\nAnswer: 28*i**4 + 2*i**2 - 304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9*7\/(-189))\/(2\/36). Find the third derivative of -4*r**2 - 22*r**m + 20*r**6 + 10*r**6 wrt r.\nAnswer: 960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of -9\/4*d**5 + 0*d**2 - 3\/2*d**3 + 0 + 0*d**4 - 12*d. What is the second derivative of m(w) wrt w?\nAnswer: -270*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 77, 148, 241?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 divided by -300?\nAnswer: 81\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 23*r**3 + 2*r**3 + 3.\nAnswer: 25*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) 0.5 (c) 0 (d) 286 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -3*sqrt(95)\/(5*sqrt(45)\/sqrt(9)))**2.\nAnswer: 6*sqrt(19) + 796\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + x - 3, 0*x + x = 3. Which is smaller: p or -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -115\/1902 and 81\/36772.\nAnswer: 110316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 57163295191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -168384830?\nAnswer: -505154490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -91*y - 12. Let x(u) be the third derivative of 31*u**4\/8 + 11*u**3\/6 - 6*u**2. Let d(l) = 4*b(l) + 5*x(l). Does 11 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l - 3*l + 2*l)*(15 + 28 - 18)*(2 - 2 - 4).\nAnswer: 700*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-62)*70\/(-21). Let r be (-2)\/5 - ((-4768)\/(-20))\/4. Let p be (-1 - -1)\/(15\/(r\/8)). Which is greater: b or p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t - 10. Let m be w(4). Is m not equal to 1\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 AM and 3:24 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1165 and 805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, 1.4, -8\/1355, 4, 3, -0.4, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ab88 - -24?\nAnswer: 1abac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430 (base 7) to base 4.\nAnswer: 3121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 6*l**2 + l - 1. Let x be f(6). Suppose -52 = -x*g + 38. Let m = -8 + g. Calculate the least common multiple of m and 14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14574.\nAnswer: 2, 3, 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4139*x**2 + 910*x**2 + 395*x**2 + 871*x**2 to b*x**2 + z*x + w and give b.\nAnswer: 6315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v**2 + 15*v. Let k(q) = 8*q**2 + 16*q. Let z(l) = 3*g(l) - 2*k(l). Let y(n) = n**2 + n - 1. Let x(u) = 2*y(u) - z(u). What is r in x(r) = 0?\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/36 and 34\/(9180\/(-651)) + 4\/10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24578 (base 9) to base 7\nAnswer: -66101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 466 and 0.2524553.\nAnswer: 117.6441698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 127.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*r + 4*r - 16. Let w be r\/(3 - -1)*-4. Let n(q) = -q**2 + q + 1. Determine n(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*t + 60, -2333*p + 480 = -4*t - 2304*p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -46. Suppose 0 = -s - p, 4*o - 8*o = -5*s + 64. Is ((-7)\/o)\/(2\/12294) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 32*q**2 + 63*q - 1644. Let d be c(17). Suppose -1666\/5*y**3 - 1242\/5*y**4 + 1458\/5*y**d + 1234\/5*y**2 + 8\/5 + 208\/5*y = 0. Calculate y.\nAnswer: -1, -2\/27, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 459\/81 + 5\/6*-2. Solve 4*i + 6 = -2, n*k - i = -6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23587 by -1.\nAnswer: -23587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -d**5\/60 - d**4\/4 - d**3\/3 - 3*d**2. Let i be k(-6). List the prime factors of (5\/(-2))\/(i\/4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -6.34, -19, -2\/23, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 94, -1\/4, 1\/6, -1.2?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (0 - 4 - (46 + -51))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4521 (base 7) to base 15\nAnswer: 73c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69.7 and -1.07.\nAnswer: 74.579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -56 + 58 - (-1 + 2)*-10. Solve -n*h = -16*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7693458161?\nAnswer: 41, 83, 2260787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4082*y**4 + 5016*y**2?\nAnswer: -97968*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3938148*f**5 - 447*f**2 - 3059?\nAnswer: -236288880*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35 + -11. Suppose -a - 2*w = 2*a - 17, 0 = 2*a + 2*w - 14. Suppose 3*j + 4*h = 53, a*j - 32 - x = -h. Is j a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:47 PM and 7:22 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183041 + 277.\nAnswer: -182764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5019760490 + -5019760538.00000041. Let t = 48 + y. Round t to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 1305 = -5*f - 8*b, -4*f + b = 1054. Let o = f - -2897\/11. Does 1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 737995, 1476002, 2214043, 2952136, 3690299, 4428550, 5166907, 5905388?\n\"Answer: 3*m**3 - m**2 + 737989*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 44\/5 of a millimeter?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 198129.33 microseconds in hours?\nAnswer: 0.000055035925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/10936 and 7\/1216.\nAnswer: 1662272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 11:56 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -3 - 10 - -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-38*i - 29*i + 24*i)*((-1 + 1 + 3)*(-1 - 2 + 1) + 13 - 1 + 2) to the form a + r*i and give r.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2413 + -1531. Calculate the smallest common multiple of 1029 and r.\nAnswer: 6174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3364486, 6728871, 10093256?\nAnswer: 13457641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7065999?\nAnswer: 3, 17, 46183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*v - 34, -4*v = -5*t - 3 - 11. Calculate the lowest common multiple of 6 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*c - 27. Let g = c + 3. Suppose -5*v + 5*r = -5, g*v + 3*r = 4*v + 21. What is the closest to 1 in 3, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8822 + 14?\nAnswer: 8836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 15 = 0, -4*p + 3*a + 4 = 17. Let c be 1757143\/1*p - -1. Round c to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1787 is divided by (-628)\/(-16) + 3 + 87\/(-12) + 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -12, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of 5*b**4\/24 - 29*b**3\/6 - 3*b**2 - 105. Calculate z(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20469508 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 1, 4, -2 in decreasing order.\nAnswer: 136, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - p - 11. Suppose -7 = -4*n + 5. Suppose 2*y = 5*y - v - n, -15 = -5*y + 5*v. Give t(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 3. Let p be n(-7). Let b = -2.1 - -0.1. Let u = 1.6 + b. What is the nearest to -0.1 in 2, u, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679798370 to the power of 1\/2, to the nearest integer?\nAnswer: 40985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (28 - 0) + -12 + 14 + -9\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1898324 by -474581.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 47.77 in 2, 4, 1\/2, -0.02, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 + 3 + -6 + (4 - 2). Let j(q) be the third derivative of 1\/8*q**m - 1\/40*q**6 - 2*q**2 + 0*q + 0*q**3 + 0 + 0*q**5. Solve j(d) = 0 for d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 281, 5, -3 in descending order.\nAnswer: 281, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (5 - 2) + (-11 - -6).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of g**4 + 114*g**3 - 155322*g - 1907530?\nAnswer: 4*g**3 + 342*g**2 - 155322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -20898 divided by -18\nAnswer: 1161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -71\/5, 0, 57, 12\/23 in ascending order.\nAnswer: -71\/5, -2\/9, 0, 12\/23, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-130)\/(-780))\/((-2)\/(-18)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g**2 - 17. Let c(y) = 3*y**2 + 9. Determine -2*a(p) - 5*c(p).\nAnswer: -3*p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -98.6, 1\/3, 0.2, -1\/2, -314?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 10) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-33)\/(-9))\/(2\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -851 divided by 2374\nAnswer: -851\/2374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in eleven quarters of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1839)\/12)\/((-7)\/28)*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*p = -19*p + 62 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-10) + 48\/96\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -564, -962, -1430, -1968?\nAnswer: -2576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-12))\/((-2)\/(-24)). Suppose 4*u - 27*u = -161. Suppose 3*y = x + u + 5, -w*y + 35 = 5*x. Let q(d) = 2*d - 3. What is q(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 171210303 and 558?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 * -378\nAnswer: -226.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*2\/(-3) - -17. Find the common denominator of 117\/10 and 580\/n*(-18)\/(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**2 + 18*j**2 + 6*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (36\/14)\/(-3*8\/(-84)). Suppose -9 - 18 = -3*w. What is the greatest common factor of x and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2747\/(-820))\/((-13)\/260).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -2*c - 20*c - 2*c - 1. Let l be m(-1). Suppose -5*a + l + 4 = -3*k, -15 = -a + 3*k. Is a a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4270*x**4 + 2*x**3 + 17*x + 647589 wrt x.\nAnswer: 17080*x**3 + 6*x**2 + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 456\/14 - (-76)\/(-133). Suppose c = -r + 9*r. Factor 0*z**4 + 6*z**4 - r*z**3 - 2*z - 6*z**2 + 6*z**3.\nAnswer: 2*z*(z - 1)*(z + 1)*(3*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 6. Give a(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1104043 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10213)\/(-2918) + (-6)\/((-468)\/87).\nAnswer: 60\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from 4.721687.\nAnswer: -10.278313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*d - 3*h - 12, -4*d = 4*h - 8. Suppose -l + 1 + 1 = 0. Suppose l*c + 175 = -d*c. Find the common denominator of 21\/5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -339 - -317. Let z(k) = 2*k**3 + 42*k**2 - 45*k - 25. Let q be z(a). Sort 4, q, -32, -1 in ascending order.\nAnswer: -32, q, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53 + -30. Suppose -d - 1 = -a. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -4*o - 3*n - 247, 3*o - 2*n = -114. Let s(b) = 4*b**2 - 6*b - 2. Let h be s(5). Let m = o + h. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 83 = -6*l + 105, -2*l = -88 + 20 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/3 or -8362\/261?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 - 121 - (-13 + 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45500 and 2450.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 674 by -1144215.\nAnswer: -674\/1144215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3\/2, -2, -58\/11, 2\/5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 45714 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -36.5 - -5223\nAnswer: 5186.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540.\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*i + 1. Suppose 84 = -2*w + i*w. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + b. Let s(v) = -v**2 - 8*v + 25. Let k be (-2)\/(-2) - 25\/(-5 + 10). Let p(l) = k*q(l) + 2*s(l). Factor p(z).\nAnswer: 2*(z - 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21741695*w + 18042120 wrt w.\nAnswer: 21741695","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -1. Suppose 48 = -q*w + w. Is 14 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.901 - -488.099. Let d = 488.9999271 - i. Round d to six dps.\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -167*x**2 - 6535*x - 2. Let a(g) = -g**2. Give p(a(j)).\nAnswer: -167*j**4 + 6535*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2bb8 (base 12) to base 11.\nAnswer: 398a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 4*h**2 - 4*h. Let t be z(-3). Suppose -5*s + t*s = -8. Suppose 3*f - 2*f - s = 0. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mjmjjm. What is prob of sequence jmmj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4656972?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*d + 5*i, 0*i - i = 2*d - 20. Let y be (-9)\/3 + d + -3. Let x(l) = 8*l + 11. Is x(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/58580 and 49\/172?\nAnswer: 2518940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 12 = 4*v, 76*q + 82*q = 155*q - 2*v - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 451.46*0.18\nAnswer: 81.2628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -685779.53 and -1.\nAnswer: 685779.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 32787 = 3*k, 4*k + 2*v + 5597 = 49311. Let u = 2439 + k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 2283505 - 253693 + 369843. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**2 - q + 1. Let n be o(5). Let z be (-1122)\/(-7) - 2\/7. Is 1\/(z\/n - -3) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(2\/5))**(2\/7))**16)**(1\/86))**(-2\/5) assuming z is positive.\nAnswer: z**(-64\/7525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -541*m**4*z**2 + 135*m**3*x*z - 2*m**2*x*z - 2*m**2*x - 2*m**2*z**2 + 408*m*x*z**2 + 2*m wrt m.\nAnswer: -12984*m*z**2 + 810*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4050, -4479, -4908?\n\"Answer: -429*s - 3621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -343\/6296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, b: 2, w: 1}. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076189 (base 11) in base 7?\nAnswer: 21666421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/50)\/((-58)\/145). Which is the third biggest value? (a) 2\/19 (b) i (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7495339 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 2653?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -63984.2 and -149?\nAnswer: 63835.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -116*h**5 + 2*h**4 - 29*h + 1.\nAnswer: -2320*h**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 16) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -6 + 3*g**2 - 3*g**2 + 0 + g**2. Suppose 0*u = -3*u. What is v(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -51*h**2 + 27*h**2 + 29*h**2 in the form l + k*h**2 + v*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3031 - -5192. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22268 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117709923.\nAnswer: 3, 39236641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -0.31159, 1\/160, 0.06.\nAnswer: -5, -0.31159, 1\/160, 0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 0 - (43 - 36).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 84357, 168775, 253295, 337965, 422833, 507947, 593355, 679105?\n\"Answer: 8*r**3 + 3*r**2 + 84353*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((225\/42)\/(-25))\/((-9)\/6).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40596212 divided by 1?\nAnswer: 40596212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5893 - -9760. Calculate the remainder when w is divided by 215.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5627 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -7*g + 884. Let y = 12 - 8. Suppose -g + 28 = -y*a. Is a a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -124*f**2 - 48497*f - 5196. Determine q(-391).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-190)\/(-25)*5. Suppose -8*y + i*y - 150 = 0. Calculate the remainder when 37 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 188177.\nAnswer: 10\/188177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*f = 4, 3*l + 51*f - 3 = 46*f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**4 + 0*v**3 + 0*v**3)*(0 + 1 - 7)*(2*v - 1 + 1).\nAnswer: 12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - 489 - 1196 - 2294 + 4*o**2 + 56*o**2.\nAnswer: 60*o**2 + o - 3979","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96951 * -152.\nAnswer: -14736552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -251*h**3 - 249*h**3 + 491*h**3.\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*s - 3*s + 59, 0 = 5*b - s + 315. Which is bigger: -65 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11997 and 3.5.\nAnswer: -11993.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 2, -315, 5 in decreasing order.\nAnswer: 5, 2, -4, -10, -315","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -751.6 - -752.4211. What is b rounded to 2 decimal places?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 15*m - 120 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from bsss.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**2 + 24*i - 6. Let h(a) = 4*a**2 + 36*a - 9. Let x(b) = -5*h(b) + 7*v(b). Let r be x(12). Solve 23 = -3*s - 2*f, 5 = r*s - 3*f - 2*f for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1254 or -1248?\nAnswer: -1248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 1:27 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*p**2 + 18*p**2 - 45*p**2 + 141*p**3 + 0*p**3 + 2*p**3 - p**3 + (2*p**2 - 2*p + 2*p)*(0*p + 2*p - p) as u + b*p**3 + r*p**2 + j*p and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 10. Let g(n) be the first derivative of n**3\/3 - 5*n**2\/2 - 54*n + 11. Let h be g(10). Let l be q(h). Solve -l*m + 4*m + 2 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) + 165\/(-6). Let w = a + 29. Suppose -5*c = -4*s - 115, 0 = -w*c + 2*s - s + 49. What are the prime factors of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2744*x + 36532 + 10116 = 0 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 2*x**3\/3 + 8. Let c(q) be the first derivative of 0*q + 1 + 7\/3*q**3 + 0*q**2. Determine v(c(u)).\nAnswer: 98*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -406, -408, -410, -412?\n\"Answer: -2*x - 404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6104031 and 1974.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6114, 12215, 18318, 24423, 30530?\nAnswer: 36639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 (base 2) in base 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*r = 49*r - 148120. Is r a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73.994 - -69.7547. What is n rounded to 1 dp?\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 6*u**3 - u**2 - 2*u. Let r be m(2). Suppose 12*c - 91 - 581 = 0. Suppose c + r = 3*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/2))**29\/((h\/h**4)\/h*h\/h**(-2\/9)))\/((h**(-4\/9)\/(h*h*(h\/((h*h**6*h)\/h)*h)\/h*h))\/(h**(-1\/3)\/(h*h*h**(-1\/3)))) assuming h is positive.\nAnswer: h**(229\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -223 - 3?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + n + 3. Let z(x) = -7*x**2 - 17*x + 66. Let d(k) = 6*v(k) - z(k). Let r be d(-25). Sort 59, -5, r.\nAnswer: -5, r, 59","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 137 + -133. Find the second derivative of -2 + 0*j**4 + 6*j + 8*j - 2*j**3 - 21*j**w - 13*j wrt j.\nAnswer: -252*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 + 6 = 0. Let a(t) = 2*t**2 + 1 - s*t**2 - 3*t**2 - 9*t**3 + 3*t**3 - t. What is the tens digit of a(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 154685*p - 7331?\nAnswer: 154685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47596585949 + -47596587804.99998502. Let c = y + 1856. Round c to 6 decimal places.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of -12*c - 2 - c**4 - 20\/3*c**3 - 14*c**2. Factor s(t).\nAnswer: -4*(t + 1)**2*(t + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffz when three letters picked without replacement from ddddzfdfdfffdafadd?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide -41*(-2)\/6*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/7 (b) -0.09 (c) 26 (d) -0.2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - z - 1. Let x be w(2). Suppose x = -c - 5. Let h = 10 + c. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4e9 (base 16) to base 14\nAnswer: 65b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**5 - r**5 + 3*r**5 + (r**4 - 6*r**4 + 4*r**4)*(-2*r - 4*r + 4*r) - r**5 + 0*r**5 + 2*r**5 + r**4 - r**4 + 2*r**5.\nAnswer: 13*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5610 by -5.\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -3*r**4\/4 - 4*r**3 + 9*r**2\/2 + 54*r - 3709. Determine f so that i(f) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknnnnknnkddndnn. What is prob of sequence kdk?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.4. Let r = -1207 + 6033\/5. Which is the biggest value? (a) -0.5 (b) r (c) 1\/4 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 39 in -0.19, 6\/17, -2, 0.1?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 53*w - 2 - 58*w + 9. Let d(j) = j**2 + 6*j - 8. What is 5*d(a) + 6*o(a)?\nAnswer: 5*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 - 45\/(-18). Let u = 2 - c. Suppose -2*t - 6 = -u*t, 3*t + 89 = n. Calculate the greatest common factor of 32 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841 at most 5681\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -7. Let l be 3\/(-12) - (-13)\/m. Suppose l = 5*u - 4*u. Solve 0 = u*b + 27 - 12 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*q + j, -2*j + 17 = 5*q - 1. Calculate the smallest common multiple of 2004 and q.\nAnswer: 2004","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5334*b + 138. Let k(s) = 5336*s + 166. Determine -5*k(o) + 6*r(o).\nAnswer: 5324*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -114 - -170. What is the highest common factor of k and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 106637*j + 426540. Calculate o(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5231 + 5?\nAnswer: 5240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/28 in -5, 1\/6, 52, 2, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*b + 35*b - 2328. Put -2\/19, b, 0 in descending order.\nAnswer: 0, -2\/19, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6497 - 32486\/5. Sort -3\/7, -1\/6, x in descending order.\nAnswer: -1\/6, x, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*c + 2 - 3*c**2 - 919*c - 2*c**2 + 0*c**2 + c**2.\nAnswer: -4*c**2 - 850*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(0 + 12)*4. Let y be (-36)\/(-24) + l\/(-2). Find the second derivative of y*o - o**4 + o**4 - 198*o**5 + 185*o**5 wrt o.\nAnswer: -260*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 539544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 8*g + 4. Let s be p(-7). Let y be (-2)\/(-3) + (-13)\/s. Suppose -q = y*c + 76, -5*q - 449 = c + c. Round q to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 12:36 PM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 7*d**2 + 13*d + 37. Let q be l(-8). Let t(y) = 14*y**3 - 26. Let c(a) = 5*a**3 - 9. Calculate q*t(z) + 8*c(z).\nAnswer: -2*z**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 - 21 = -3*d - k, 5*k - 482 = -4*d. Suppose -157 = -4*q + d. What is the greatest common factor of 10 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -8*z**2. Let c(a) = 5*a**2 - 2*a - 2. Let r(b) = -14*b**2 + 7*b + 7. Let q(g) = -7*c(g) - 2*r(g). What is p(q(t))?\nAnswer: -392*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/5))**(7\/2)\/(v\/(((v**(-2)\/v)\/v)\/v)*v**(-12\/11)) assuming v is positive.\nAnswer: v**(-116\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*u - 220 = 771*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 161371*t*u**2 - 4*t*u - 2081*t - 29*u**2 + 8*u + 1 wrt u.\nAnswer: 322742*t - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 8:49 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/3)\/(4\/240*4). Let v(o) = 6*o + 1 + 200*o**2 - 206*o**2 + 10*o**3 - 9*o**3. Calculate v(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11550296?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364*a + 178*a + 123948 = -177*a. What is the ten thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 479750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -460320 to the nearest 10000.\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-42))\/(17\/306).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-201)\/32*84\/(-63) and 7\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -10*n, 8*n + 2 = u + 7*n + 2*n for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135429 is divided by 44809?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15621 is divided by 238?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.32774650765335 and -16.\nAnswer: -15.67225349234665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 967 = 4*s - 89. Let z be (-23 + 9 + 11)\/(2\/(-48)). What is the highest common factor of s and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/(-210)*(-10)\/(-4))\/3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 2:16 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let j(q) = 9*q. What is w(j(v))?\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7581 is divided by 2523?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -26*n**2 - 12*n + 260. Let s(z) = -z**2. What is w(s(d))?\nAnswer: -26*d**4 + 12*d**2 + 260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (73\/9 - (-17)\/(-153)) + 16. Which is the nearest to y? (a) -0.3 (b) 4 (c) 5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2064, -2072, -2086, -2106, -2132, -2164, -2202?\nAnswer: -2246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3919896 is divided by 3919865?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11127, -44271, -99439, -176637, -275871, -397147, -540471?\n\"Answer: -u**3 - 11006*u**2 - 119*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, p: 1, z: 1, i: 1, a: 1, v: 1}. What is prob of sequence pivz?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (-89)\/(-11)*-104. Let i = h + 844. Factor -2\/11 - i*z**2 + 6\/11*z + 2\/11*z**3.\nAnswer: 2*(z - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10101001010 (base 2) to base 13\nAnswer: 802","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - d - 10, -3*z = d - 17. Let g(c) = c**2 + 4*c - 4. Let r be g(-4). Let j be (-6)\/(-4) + (-2)\/r. Solve 0 = k + j, 4 + 3 = -3*f + z*k for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 + -321. Let b = x + 746. List the prime factors of b.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -73?\nAnswer: 20\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 + -1 - (163 - (172 - -7))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 6*h**3 + h**2 + 2*h - 1. Suppose 5*w - 19 = -4. Let g be p(w). What is the highest common divisor of g and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006530973 rounded to four dps?\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + -2)**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10500 + 2200?\nAnswer: -5300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((55\/10)\/11)\/2*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3142240 divided by 628448.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/((-7 - -11)\/(-4)). Sort 77, n, 2, -3 in decreasing order.\nAnswer: 77, 2, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -17*y - 648. Let g be m(-38). What is the third smallest value in 4, g, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fbv when three letters picked without replacement from {v: 1, k: 2, b: 3, m: 1, f: 4}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2408, -2465, -2590, -2807, -3140, -3613, -4250?\nAnswer: -5075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 5596.\nAnswer: -27980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15610, -15680, -15798, -15970, -16202, -16500?\nAnswer: -16870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157937 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/28 of a week in minutes?\nAnswer: 1800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 >= -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 3*s**2 + 2*s - 4. Let g be p(3). Suppose c = g*c. Suppose 0 = -c*q - 3*q + a + 69, -2*q + 46 = -5*a. Is 23 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3591 + 3594. Let v = -2 - -2.2. Put l, v, 4 in decreasing order.\nAnswer: 4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -5\/16206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2151541\/354896 - 1\/22181. Find the common denominator of f and 119\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/23)*m\/(m**(-6\/19)\/m) assuming m is positive.\nAnswer: m**(974\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-1 - 0) + 0 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -45 + 37 - -537*1. Calculate the highest common divisor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 9 = -1. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -3*f - 0*f + 3*i, 3*f - 5*i - 37 = 0. Which is the closest to -1\/5? (a) 0.5 (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*k + 114845 = 112045 for k.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60976 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i - 36. Let n(b) = -2*b + 1. Determine c(v) + 6*n(v).\nAnswer: -13*v - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.03 (b) 0.14 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 26\/22 - (-16)\/(-88)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 76*r + 132. Let n be y(8). What is n rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 35\/2*m**2 + 6*m - 5 - 35\/2*m**3. What is the first derivative of l(v) wrt v?\nAnswer: -105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 856 - 859. What is the closest to 7\/5 in 3, x, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - 7*b**2 + 3*b - 8. Let o be x(7). Let l = -25 - -116. What is the highest common divisor of l and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4831580306 to the nearest integer?\nAnswer: 1691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 2*i. Let y be (-10)\/5 - (-5 + 1). Let v(a) = -1197*a**2 + 18*a + 1182*a**2 - 7*a. What is y*v(w) + 11*k(w)?\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -16 - -7 - (2 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**3 - 2784*p**2 - 11088*p - 11072 = 0. Calculate p.\nAnswer: -692, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k\/(k*k\/(k**(-1\/11)\/k)*k*k))\/k*k)\/k)\/k)\/(k*(k\/(k\/k**(1\/2)))\/k*k*k))\/((k*k\/(k**(-3)\/k))\/k*(k**(-7)*k)\/k*k) assuming k is positive.\nAnswer: k**(-145\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3 - 4*i + 10 + i**2 - 2*i**2. Let q be u(-5). Suppose n = c - q*n - 17, 3*c = 4*n + 61. Is 15 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7847*w**4 + 6*w**3 + 629*w**2 + 6*w - 2 wrt w.\nAnswer: 188328*w + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*i + 2045 - 7303 = 0. Calculate the remainder when i is divided by 137.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 683777 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 4. Let u(f) be the first derivative of -4*f**3\/3 - f**2\/2 + f + 4. Let g be u(1). Put g, h, 3 in decreasing order.\nAnswer: 3, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00274185013 rounded to seven decimal places?\nAnswer: 0.0027419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -0.8. Let g = -0.2 - m. Let a(k) = k**3 - 14*k**2 + 13*k + 3. Let f be a(13). What is the nearest to 3 in f, g, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18aae (base 15) in base 9?\nAnswer: -131712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r + 3*r**2 - 4*r - r**2 - 4*r in the form w*r**2 + y + x*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 9*b - 3*b)*(-3*b + b + 4*b).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21.78? (a) -6 (b) 3 (c) 3\/8 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -7*z**2 - 5*z + 2. Let v(c) = -8*c**2 - 6*c + 3. Let f(t) = -5*g(t) + 4*v(t). Let p be f(-1). Suppose p*m = -m + 425. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -106, -490, 16 in descending order.\nAnswer: 16, -3, -106, -490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 186*g**5 - 45 - 110 - 439 - 14*g**2 + 9*g**2 - 68*g**6 + 57*g**6 wrt g?\nAnswer: -1320*g**3 + 11160*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38539?\nAnswer: 17, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -291181.7 - -291190.4999725. Let f = j - 8.8. Round f to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2958781.1 to the nearest 10000.\nAnswer: 2960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1398 is divided by 538?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -682502413*c**2 - 341364017*c.\nAnswer: -1365004826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 + -106. Suppose -q = -4*g - 4*n, 3*g + n - 1 - 63 = 0. Suppose g = 5*y - 2*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8531 - -8513. Let v(t) = -3*t + 36. Calculate v(b).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19314 is divided by 1797.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329558039?\nAnswer: 17, 257, 75431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -391.8636285 to 2 dps.\nAnswer: -391.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 56143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 3462*z + 37953. Calculate u(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-4))\/(-56))\/((-52)\/(-3367)*37)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 97*q**3 - 2*q**2 - q. Let y be h(-1). Let t = y + 145. Is 6 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -42. Let s = -21 - l. Suppose -3*g + 1 = -2*g. Sort g, s, 4 in ascending order.\nAnswer: g, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p\/p**(-2))))**(-43)\/(p\/p**(1\/4))**(-45))\/(p**(3\/7)*p\/(p\/p**(-3))*p*(p**(6\/7)*p)\/p**(-3\/2)) assuming p is positive.\nAnswer: p**(-3921\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 (base 8) in base 15?\nAnswer: e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {z: 1, f: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - 174.026. Let p = 0.074 - v. Let y = p - -2.7. Which is the closest to 1? (a) 2 (b) -0.1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) 0.4 (b) 2.7 (c) -5 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 2 + 242*k**2 - 240*k**2 - 3*k + 17 to the form n*k**2 + a + l*k and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k - 1050. Let t(g) = -10*g - 4200. Let p(a) = -t(a) + 4*y(a). Let i(u) = u**2 - u. Let n(f) = f. Let w(h) = -i(h) - n(h). What is p(w(j))?\nAnswer: -22*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 - 13*r**2 + 16*r + 21. Let v be c(-14). Let o(k) = 3*k**2 + 2*k - 6. Is o(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 10 = 5*b, 3*k - 2*k + 2 = b. Let f(h) = -h**3 - h**2 - 2*h + 16. Let j be f(k). Let z = 53 - 49. Solve 3*q - 8 = 2*q + 2*p, -z*p - j = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48946.9 hours to microseconds.\nAnswer: 176208840000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4638 + -875?\nAnswer: -5624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111200 (base 5) to base 15.\nAnswer: -126a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/2, -0.15, -3, 2.1 in descending order.\nAnswer: 4, 2.1, 3\/2, -0.15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.5. Let v = 28 + -18. Let j be (-6)\/4*v\/(-75). Which is the nearest to 0? (a) t (b) j (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13009810, -26019621, -39029432?\n\"Answer: -13009811*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.062 (b) -16 (c) 5.71 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -35339*b - 8976108. Determine c(-254).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i - 3*i + 2*i + (3*i - 2*i - 3*i)*(1 + 2 - 2) + 2*i - 7*i - 4*i + 0*i - 3*i + i + (i + 0 + 0)*(2 - 5 + 0) to the form y*i + f and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 80693.6 weeks?\nAnswer: 813391488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*w + 125 - 73*w + 225*w - 77*w - 8*w**3.\nAnswer: -8*w**3 + 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 1587660.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263*f + 415*f = 155*f - 6799 for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 21465750*t**2*x - 937*t + x - 2261 wrt t.\nAnswer: 42931500*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 14. Let u be 3\/(-6) - (-11)\/(-2). Calculate p(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 701 + 660 - 3*p**2 + 5*p**2 - p**2. Is d(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -12. Let g(r) = 0*r - r + 3*r + 5. Give g(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-225)\/10)\/(-9)*312\/(-60)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-8)\/(-7) + (44\/(-12) - -3) and -139\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, s: 5, v: 3}. Give prob of sequence ccvv.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/42)\/((-5)\/(-210)*4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2122*w + 40. Let t(g) = -223872*g + 4224. Give 528*p(j) - 5*t(j).\nAnswer: -1056*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.075 - -6. Let l = g + -0.049. Round l to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13391 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3 - 569. Is u a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43c5ba + 11?\nAnswer: -43c5a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3180 by -10.\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 38. Suppose -8*m + 3*m + 780 = 0. Suppose -3*b - m = -4*w, 0 = -2*w - 2*b - 3*b + 104. Calculate the remainder when w is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 - 6217.\nAnswer: -6217.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 4*g - 1 + 3 - 2*g. What is f(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4982*d**3 - 5 + 5 - 4980*d**3 + 4.\nAnswer: 2*d**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, k: 2, d: 5}. Give prob of picking 1 d, 1 k, and 2 i.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a century?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3095*m**3 - 13*m**2 - 185. Let r(h) = 1547*h**3 + 6*h**2 + 92. Let t(c) = 5*r(c) + 3*s(c). Find the third derivative of t(q) wrt q.\nAnswer: -9300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 6:13 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + k - 1. Let t(h) = h**3 + 2*h**2 + 3*h + 1. What is 2*a(p) + t(p)?\nAnswer: p**3 + 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2277549 divided by 759183\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -10*q + 8. Let y(g) = g - 1. Let x(n) = w(n) + 8*y(n). Let i(u) = -22*u. Determine i(x(f)).\nAnswer: 44*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1922.3 - -1922. What is the nearest to -2\/5 in -3\/5, 1\/3, -0.16, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3))**(-34)*z*z**(-5)*((z*z**1*z*z)\/z)\/z*((z\/(z*z**(-1\/3)*z*z*z*z*z*z)*z*z)**(-19))**(11\/3) assuming z is positive.\nAnswer: z**(2485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53\/((-9063)\/(-19418)) + (-17 - (-2512)\/144).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 11 - (-35 + 31).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-567*b**2 + 137*b**2 - 247*b**2)*(4*b**2 - 2*b**2 + 3*b**2).\nAnswer: -3385*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 20 = -5*m. Let n(q) = -2*q - 1. Let t(u) be the first derivative of u**2 + u + 9. Give m*t(z) + 4*n(z).\nAnswer: 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 PM and 2:58 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11.9 + -14.9. Let s = -38 + 25. What is the third smallest value in k, -1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.17561 + -0.23561. What is the biggest value in p, -5\/6, 13\/7, -0.3?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tf when two letters picked without replacement from ttftfftftfff.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -214, -198, -178, -154, -126?\n\"Answer: 2*k**2 + 10*k - 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -1901.\nAnswer: 11\/1901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h**2 + 2*h + 5. Let i = -9 - -15. Let c be x(i). What is c rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 3, 14, 2\/385, 4, 5?\nAnswer: 2\/385","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -13*b**2 + 28. Suppose 0 = 3*t - 7*t + 20. Let v = t - 2. Let g(y) = -6*y**2 + 14. Let o(r) = v*q(r) - 5*g(r). Differentiate o(h) wrt h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Let i(t) = -3*t + 1. What is -i(p) - 4*x(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10700062\/91 - -117588. Let x = l - 60\/13. Sort 2, x, 0.4, 0.3.\nAnswer: x, 0.3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (sqrt(288) - 1*sqrt(288))*-5 + -6*(sqrt(288) - (sqrt(288) + -1)) + (sqrt(66)\/sqrt(3))\/sqrt(11) + sqrt(2) + -5*sqrt(18) + sqrt(2))**2 + -4.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d + 12*d = -40 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 16. Suppose -3*i = -b + 4, 2*b + 2 = -3*i + n*i. Does 18 divide (-5 + 4)\/(i\/162)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5218, -11414, -17610, -23806, -30002?\n\"Answer: -6196*s + 978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 207.176 + -0.176. Let k = q + -212. Which is the closest to 4\/7? (a) k (b) -4 (c) 0.3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 8. Let f = 3 - 6. Do a and f have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 496 + 254. Let j be (f\/40)\/(3\/(-4)). Suppose 791 = j*c - 79. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17659701029 to the nearest 1000000.\nAnswer: -17660000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-5)*-11*(-55)\/1815?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 16831*p**2 + 1. Let g(d) = -11*d. Determine g(o(t)).\nAnswer: -185141*t**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x. Suppose x = g - 2*g + 5. Suppose -5*z - 2 = -4*j + 4, g*z - 22 = -3*j. Solve -z*o = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4477 is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*a - 67. Let s = a + 25. Suppose 0 = 2*r - 16 + s. Solve -6 = -3*k - 5*x, -k - 6 + r = -x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16979517 is divided by 3680?\nAnswer: 3677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -699727 (base 10) to base 9\nAnswer: -1275754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:53 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 26 + (-1 - 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2\/599 (b) 0.09 (c) 4.8 (d) -28 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69909, -139822, -209735, -279648, -349561?\nAnswer: -419474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzrr when four letters picked without replacement from mmrjmrmmrzr?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-2\/11)*s)\/s)\/s)\/s)\/s**2*((s\/(s**34*s))\/s)\/s**(-28) assuming s is positive.\nAnswer: s**(-123\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -35900 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/3, 3\/146, 1\/3 in decreasing order.\nAnswer: 2\/3, 1\/3, 3\/146, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*h + 71. Suppose -q - 4 = -h. Let d = -56 + 84. Calculate the remainder when d is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 932 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3775?\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 0.1 (c) 3\/5 (d) -16 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1954?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**2 + 0*s**3 - 4*s**3 + 4 - s**3 + 2*s**3 as v*s**3 + h + z*s**2 + a*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.574 + 2.555937. What is l rounded to 4 dps?\nAnswer: -0.0181","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5240)\/(-6))\/(99\/(-139590)). What is d rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 217 + -116. Suppose 4*n - 39 = o. Suppose 5*s - n - 25 = 0. Solve 2*v - s = 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26390 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 4*q**2 - 6*q + 2. Let w be 1*(5\/(-2))\/(7\/14). Calculate v(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 17 + 182*c**2 + 17.\nAnswer: 182*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b*b*b**(-4\/3)))*b))\/(b*b*((b\/((b*b*b*b*b**2*b*b*b*b*b)\/b))\/b)\/b))**(-28) assuming b is positive.\nAnswer: b**(-700\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 205 + -345 - (14 - 97).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/90 and 2\/225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, j: 5, n: 2}. What is prob of picking 1 n and 2 j?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6116 (base 8) in base 11?\nAnswer: 2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11251 * -0.1.\nAnswer: 1125.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3 + 3 + 0 - 6*q. Let h(g) = -6*g**2 + 11*g. Let m(k) = -k**2 + 2*k. Let a(r) = 6*h(r) - 33*m(r). Calculate l(a(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 928556.7 litres to millilitres.\nAnswer: 928556700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/103799904 and 173\/2092740.\nAnswer: 518999520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or 45?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35860 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -15\/2 (b) 72.7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*(sqrt(605) + 0) + -4)*-1.\nAnswer: -264*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -10, -3 in ascending order.\nAnswer: -10, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*w + 2 = -34*w, 5*w - 10 = -5*n. Solve 3 = -k - n*k + 4*x, 3*x + 9 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0\/1 - 0 - (-743 - -213). What is the highest common divisor of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgs when three letters picked without replacement from pgokskogopzspkk.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 267415 divided by -677?\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41580.7 + 2080.\nAnswer: 43660.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10766511 and 77024?\nAnswer: 344528352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in decades?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtt when three letters picked without replacement from mtmtttttt?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.56 + -5.23. Let n = z + -4. Let k = -0.3365 + n. Round k to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2895 divide 2536735065?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - 377459?\nAnswer: -377454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*c**2 + 12*c - 832 wrt c?\nAnswer: -14*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18640 and 16?\nAnswer: 18640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -5, -45, -1.4, 0.1, -3.4?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 4 (b) 15.5 (c) 85\/2 (d) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2 = 6, 2*w - 2*b - 18 = 0. Solve w*g = 3*g + 7*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 6. Let c be 3*-22*(-2)\/x. Is 4\/(48\/51)*c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 14 (b) -5 (c) 0 (d) 13 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (60 + 3249\/(-57))\/(4\/(-52)*3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - -71. Suppose u = f - 19. Suppose -3 - 37 = -2*w. Calculate the remainder when u is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -6.4. Let p = -1 - o. Which is the second smallest value? (a) 0 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/(-52) - 158\/(-8). Suppose -20*m = -i*m. Suppose m*n + 36 = 6*n. Is n a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111923131990.674715 + 113003902022.07471214. Let r = w - 1080770016. Let u = 15.4 - r. Round u to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 12) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*1*(sqrt(80)*2*4 + 5))**2.\nAnswer: 10368*sqrt(5) + 185049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 3\/7 (c) 36398 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*q + 93 = -15*q. Suppose -4*m = -f - 12, 2*m + 3*f - 4*f = 8. Let y(d) = 5*d - q + 31 - m*d. Let z(w) = 5*w**2. Calculate z(y(o)).\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 16) in base 2?\nAnswer: 100100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - -18. Let u(b) = b**3 + 6*b**2 + 3*b - 9. Calculate the remainder when r is divided by u(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1656332011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -60 + 60*n - 30*n - 6 + 4*n + 45*n. What is the hundreds digit of q(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11940552 divided by 165841.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.2 * 45.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/10)\/(16\/(-220)*11)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 26*q = -2*r - 4, 2*r + 6 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10*y**2 + y - 1. Give g(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -15881325.2 to the nearest 1000.\nAnswer: -15881000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - (100\/(-4976))\/(-5). Let q = p + 12781\/7464. What is the common denominator of q and 167\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -20798*4\/(-8) - -1. Round y to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3059 * -2\nAnswer: -6118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 9*f - 216. What is the highest common factor of 24 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-24))\/((-3)\/4)*(787 - 775).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1549.266 and 6.\nAnswer: 9295.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 692.0572 + -0.5.\nAnswer: 691.5572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*12*(-33)\/(-12). Let v = 54 - y. What are the prime factors of v?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*g = g - 18, 5*w + 5*g - 105 = 0. Let s be (w\/4)\/25*-3. Is 0.4 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96552 is divided by 5360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 533076.319 rounded to the nearest 100?\nAnswer: 533100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-4 + 1) - (0 + 6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + 40 + 50 + (-6 - -1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.183 + -0.183. What is the closest to 24 in -0.3, i, 0.3, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0 - (-4 - (4 + -5))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a week in minutes?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -751613, -751612, -751611, -751610, -751609, -751608?\nAnswer: -751607","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1249047721 to the nearest integer?\nAnswer: 35342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*x - 80*x - 290 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*v + 105 = 1302 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14300 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: 340093 times -0.5\nAnswer: -170046.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49244, 68195, 87146, 106097?\n\"Answer: 18951*v + 30293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-40)\/24)\/(2\/(-6)). Suppose -t*a + 66 + 10 = 4*y, -2*a - 2*y = -30. Solve 3*k - a = -1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:15 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyydymmvmmdyddyy. Give prob of sequence yvm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25 and 3 + -2 + (-44)\/(-11).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.96 rounded to 1 decimal place?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.29476 - 532.86676. Let a = v - -505.0581. Let r = 27.5 + a. Round r to 3 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9\/5, 0, 2\/395 in increasing order.\nAnswer: 0, 2\/395, 9\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1776 and 99234?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 less than 12\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09147 + 0.90853. Let d = 1.2 - 1.1. Which is the closest to w? (a) d (b) 1\/12 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 - -79 - (-7 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 9:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65141 is divided by 21660?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**24\/(o*o**(1\/16)) assuming o is positive.\nAnswer: o**(367\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 132755?\nAnswer: 6903260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/5*p**3 - 24\/5*p - 44\/5 + 21\/5*p**2.\nAnswer: (p - 2)*(p + 1)*(p + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 26. Let r be 2\/(-4) - (8 + -9). What is the biggest value in r, 0, 18, i?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 27 (b) -2 (c) -205 (d) 8 (e) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 234, 232, 230, 228, 226, 224?\n\"Answer: -2*f + 236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/4))**(-41)*(g**2\/g*g)**(-3))**(4\/17) assuming g is positive.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17368442 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*12*34\/136.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 765513972, 1531027946, 2296541920?\n\"Answer: 765513974*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 6 = -w, 21*m - w = 23*m + 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a + 47*a**2 + 3*a**3 - a**4 - 70 - 47*a**2 - 267 + 0*a**3 as g*a**2 + y + l*a**3 + v*a**4 + h*a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = 0. Suppose 10*k - 14*k - 20 = 0, 0 = -4*r + k - 119. Which is bigger: r or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 39 = l + 5*m, 4*l = m + 35. Calculate the smallest common multiple of l and (10\/(0 - -2))\/(-28 - 3150\/(-112)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z**2 + z + 38. Let h = 71 - 51. What is the remainder when p(0) is divided by h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n + 4 = 35*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 2523 + 639 = 312. Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11850.96 - -0.043731?\nAnswer: -11850.916269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*s - s + 8*s)*(-5 + 0 + 4) + 0*s + 0*s + s)*(-s + 4*s - s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5 - 1*(0 - -1). Suppose 9*c = x*c + 25. Let q(y) = -11 - 6*y**2 + 2*y + 4 + 13 + y**3. What is q(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 219 - -694. Calculate the remainder when n is divided by 227.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**22\/a)\/a)\/(a**9\/a))**29)**(-43) assuming a is positive.\nAnswer: a**(-16211)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.527164l to millilitres.\nAnswer: 3527.164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j**4 + 7*j**2 + 3. Let g(l) = 14*l**4 + 20*l**2 + 8. Let n = 17 - 9. Let u(q) = n*m(q) - 3*g(q). What is the third derivative of u(f) wrt f?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 249 and 1826?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 - 40. What is the remainder when v is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316 and 3002.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -175 + 7423751.\nAnswer: 7423576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 1 - 1 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((3 + -2*-1*(((sqrt(684) + -3)*-6 + sqrt(684) + sqrt(684) - sqrt(684)) + 3))**2 + 3).\nAnswer: -27000*sqrt(19) + 352140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -109 - 1241. Let i = -263 - c. Is 11 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 PM and 7:21 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 29*f + 33. Let s be z(-28). What is the nearest to -2 in s, 1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7225*o**3\/3 + 680*o**2\/3 + 16*o\/3 = 0 for o.\nAnswer: -4\/85, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 166137 and 1422.\nAnswer: 996822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t**3\/8 - 13767*t**2\/8 + 6483*t\/2 - 1524 = 0. What is t?\nAnswer: 8\/9, 1, 508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4 = -5*u + 6, u - 2 = c. Is -1\/74 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 - 254*f\/9.\nAnswer: -2*f*(f + 127)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -2*m + 228. Let h = 69 - m. Suppose -55 = -4*q + h. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/9952 and 123\/140?\nAnswer: 348320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o**2 + 3*o**2 + o + 2 - 1)*(2 + 2 - 3) as j*o**2 + h*o + x and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 12 = -3*o, 3*q - 8 = -2*o + 2*q. Let z be -1 - o\/((-4)\/17). Solve 7 - z = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 21 = -11*j. Find the third derivative of 51*x**3 + 35*x**3 + 22*x**j - 6*x**2 - 6*x**2 wrt x.\nAnswer: 648","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 340 = 342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/27 (b) 29 (c) 5 (d) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 125*g + 1212. Let l be w(9). Solve -3*r = -9*n + 6*n - 6, 3*r + 4*n - l = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -9. Suppose o*n - 15 = 5*z - n, 5*z + 10 = 4*n. Solve -4*q - 6 - z = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-3) + (-5)\/(-3). Is (-1738)\/(-26) + z\/13 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.269 + -0.269. Let u = 30 - r. What is the third smallest value in 0.1, -0.4, u, -3\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186859303757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/24)\/(58\/16 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10560, 20963, 31186, 41229, 51092?\nAnswer: 60775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 504213.1 kilograms in micrograms?\nAnswer: 504213100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from ozeheozozzteyezzooz.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 0. Let k be d\/8 + 30\/(-8). What is the units digit of (6 - -2)*(-2)\/k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(96)\/(-1*sqrt(432)) - (sqrt(96) - 3*sqrt(96)*2)\/(sqrt(432) + sqrt(432)*-1 + sqrt(432)))**2.\nAnswer: 128\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 1:35 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6842589 - 45*n**2 + 43*n**2 - 6842589.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -39 - ((-10 - 4 - -7) + 6 + -12)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -29*d - 333. Let w be c(-11). Calculate the least common multiple of 16 and 452\/3 - w\/(-399)*19.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mkkmmmkkkkkkmkkk. What is prob of picking 1 m and 2 k?\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3494852, 3494697, 3494542, 3494387?\n\"Answer: -155*d + 3495007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 3. Let p be a(-5). Suppose 4*m - 4*z = -0*m - p, 3*z = 9. Suppose 3*l = c + 51, -l + 0*l - 2*c + 24 = m. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 3*p**2 + 2*p. What is the lowest common multiple of x(3) and (-5)\/(-2) + 5 + 54\/(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1398023.\nAnswer: 11, 73, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x + 19. Let j be y(-10). Put 22, 1, j in decreasing order.\nAnswer: 22, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -640*d**4 + 7798*d**3 - 1991*d**2 - 5057*d wrt d.\nAnswer: -15360*d + 46788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(3 + 2870214\/(-956739)). Let l be -2 + h\/3 - 3. Let p = -396744 - l. What is p rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40410 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*y**4 + 7*y**4 - 2*y**3 - 5*y**2 - 22*y**4 - 2*y to p*y + u + c*y**2 + r*y**3 + w*y**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8225*r**5 + 199*r**2 - 228*r**2 - r + 5 - 606*r**2 wrt r.\nAnswer: -493500*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -39. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 + -55. What is the remainder when (p\/(-5))\/(8\/20) is divided by ((-177)\/7)\/(-3) + 628\/1099?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -13*n**2 + 23*n - 22. Find the first derivative of c(j) wrt j.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + -1*sqrt(1620).\nAnswer: -18*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35414 (base 8) in base 7?\nAnswer: 62033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 338282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100, 261, 422?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1062*d + 1004 = -877*d - 291 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -107010892, -107010893, -107010894, -107010895, -107010896, -107010897?\n\"Answer: -c - 107010891","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 + 500*k + 495.\nAnswer: 5*(k + 1)*(k + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t + 47*w - 91*w = -t - 47*w + 10 + 3, 0 = -2*t - 74*w + 94 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 5 - 7. Sort y, 0, -5 in decreasing order.\nAnswer: 0, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -327*m - 5224, 16*m - 10*m - 7*m + 3*x = 28 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8430779 to the nearest integer?\nAnswer: 2904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d + 6 = 0. What is the least common multiple of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -84 (base 10) to base 6\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -234*x = -239*x + 62830. What is the thousands digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8154\/81 + 2\/(-3) + 0 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of 5*t**6\/3 - 7*t**3\/3 - 5. Find the third derivative of h(z) wrt z.\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:33 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + c - 10, 0 = -3*k + 7*c - 2*c + 14. Let s be -59*2\/k*-4. Let u(w) = -2*w**3 - 21*w**2 - 33*w + 5. Let g be u(-9). Is s less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 2*f + 108 = 0. Suppose 21*q - f = 17*q. Calculate the remainder when q is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - z + 1. Let w be ((-4)\/5)\/((-16)\/40). Suppose -u + w*u + 2 = 0, 3*k = -u - 26. Let s = 5 + k. Calculate d(s).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x**2 + x + 5. Determine u(3).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 5*v = -3*f - 1015, -5*v = -15. Let z = f + -55. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**3 - 2385*w**2 - 14445*w - 21735.\nAnswer: 5*(w - 483)*(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48235 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -631503*u**2 + 347613?\nAnswer: -1263006*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568.792l in millilitres?\nAnswer: 2568792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*t - 69 = -9*t, -5*t + 87 = 4*u. Suppose 2*y - 2*s = 2*s - u, 0 = -3*s - 6. Let k = -8 - y. Solve k*f + 5 + 0 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2783 = 21*l - 0*l + 200. Calculate the remainder when l is divided by 15\/6*(-148)\/(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10))\/(8109\/(-1590))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26081 rounded to the nearest 100?\nAnswer: 26100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1062 and 16\/1947.\nAnswer: 11682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322, -1049, -2266, -3973, -6170, -8857?\nAnswer: -12034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*t - 37894 = 17252. Calculate the highest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 - 17*o. Let s(x) = -x**3 + 8*x. Let t be 2 + 3\/3 + -6. Let a(j) = t*i(j) - 7*s(j). Find the second derivative of a(r) wrt r.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26 by -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 4*g**3 - 8*g**2 + 38*g - 144. What is p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8616.42 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14157 - 42469\/3. Let w be -1 - (-5)\/(25\/12). Put 0, w, r in ascending order.\nAnswer: 0, r, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -3, -2, 5, 2, 0, 9753 in ascending order.\nAnswer: -11, -3, -2, 0, 2, 5, 9753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 14*f**2 - 3*f + 3. Let u be v(2). Suppose u + 22 = 3*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-40))\/(5\/40*-1). Let d(q) = -35185*q**2 + 20*q + 2*q**3 + 35165*q**t - 20 - q**3. Determine d(19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*(4 + sqrt(1088)*1 - sqrt(1088)))**2 + 1).\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 271.3069 microseconds in seconds?\nAnswer: 0.0002713069","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (354\/(-5))\/2 + 2. Let z = 1573\/45 + w. Suppose 0*m - 50 = n + 3*m, 0 = 3*n + 2*m + 115. Find the common denominator of n and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18461 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241368102.\nAnswer: 2, 3, 29, 677, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-26040)\/72 + 5\/3. Let c = 697 + a. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9696 * 17949\nAnswer: -174033504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 196495*z**3 + 2*z**2 + 42*z - 1270 wrt z?\nAnswer: 1178970","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322734*v + 11073*v - 603468*v.\nAnswer: -915129*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 29204*u + 2153208.\nAnswer: -4*(u - 73)*(u + 7374)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + g = 10. Suppose d + g*p + 3 = 0, 12 = 5*d - p + 1. Let y(o) = -3*o**d + 0 - 1 + 0. Calculate y(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + 62 - ((-53 - -69) + 3 + -26).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32 + -33. Which is smaller: p or -0.07?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1278)\/(-994))\/((-3)\/(-7)). Solve -3*v + p*j + 24 = 0, 5*v - 3*j = 6*v + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/(-52416)*-39 - 115\/(-1652)\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -58 + 7?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.09 (b) -367 (c) 3\/7 (d) 0.4 (e) -5 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h**2 - 3*h**2 + 2*h**2 + h. Let w be (84\/7 - 7) + (4 - 3). Let t(x) = x**3 - 6*x**2 - 6*x. Give w*g(f) + t(f).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.1 - 0.09. Let v = -29.8513 + 27.8513. Sort v, -3, d, 5.\nAnswer: -3, v, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-18 + 8 + (-2 - 12)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 356902 divided by -259?\nAnswer: -1378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + f - 5*f)*(22*f**3 + 123*f**3 - 3 + 79*f**3 - 63*f**3 + 213*f**3).\nAnswer: -2618*f**4 + 21*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 92 = -j - s, s - 536 = -5*j. Suppose 2*d - j = -d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -1\/9*j**6 + 0*j**3 - 1\/3*j**2 + 0*j + 8 + 1\/3*j**4 + 0*j**5. Factor z(c).\nAnswer: -2*c*(c - 1)**2*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 1 - (13 + -3 + 2 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -573941*x**4 - 5743*x**2 + 11 wrt x.\nAnswer: -13774584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.109 + 0.049. Let m = x - -0.060215. Round m to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -383*i*o**5 + 760*i*o**4 + 172820*i*o - 17*o**2 wrt o.\nAnswer: -22980*i*o**2 + 18240*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/358 and 71\/48732034.\nAnswer: 48732034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1860766 - 0.5860765. Let f = k - 0.6. Round f to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j - 1. Suppose 0 = -3*n + 27. Let s(d) = -1 + 2*d - n*d + 3. Let z(y) = -s(y) - 4*w(y). What is the derivative of z(q) wrt q?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b + 2*b)*(451 + 2069 + 29 + 1777).\nAnswer: 21630*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.027? (a) -6 (b) -2\/21 (c) 0 (d) 1\/235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -28. Suppose t*g + g - 46 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 10*c + 8. Let n be d(9). Let z = 2 + n. Is z bigger than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -3, -1, 7095\/4 in decreasing order.\nAnswer: 7095\/4, -2\/9, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 2.982605 kilograms?\nAnswer: 2982605000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-9\/7)*h*h\/h**(-2\/21)*h)**(3\/25) assuming h is positive.\nAnswer: h**(59\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t. Let g be a(-1). Suppose 0 = 4*h + 3*c - 104, 2*h - 35 = h - g*c. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 y when three letters picked without replacement from yhyhhyyy?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -1.2. Suppose -9 = -h - 2*h. Let u be 1*(4 - h)*-1. Which is the closest to t? (a) -2\/7 (b) 0.2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 12 - 22 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -939*g - 26 = -926*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 3. Let r = -162.75 + 162.77. What is the third smallest value in l, 0, r, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -20785, -41476, -62171, -82870, -103573, -124280, -144991?\n\"Answer: -2*z**2 - 20685*z - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 10, f: 2}. Give prob of sequence uuff.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95002?\nAnswer: 2, 47501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4207736 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 786747.\nAnswer: 3, 13, 20173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 4*r = -r - 7, 540*r + 28 = 2*d + 537*r for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**2 + 2*u**2 + 6*u**2 + (-12 - 3 + 4 + (-2 + 3 - 2)*(0 - 3 + 1))*(0 - 2*u + 0)*(-4*u + 3*u + 3*u).\nAnswer: 40*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**5\/60 + g**4\/3 - 9*g**2. What is the second derivative of d(u) wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 - 87888*f**2 + 482768784*f.\nAnswer: 4*f*(f - 10986)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296789 + -0.1192053.\nAnswer: 296788.8807947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*2\/(-8)*2. Let j = -22 - -46. Let i be 2 - j\/(-2 - 1). Solve -i = -u*m + m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - 69 + 131)*(-g + 2*g - 2*g).\nAnswer: -184*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 298 (b) -0.2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 5:49 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 36*t - 313. What is f(13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 421 + -1111?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5488\/182 + 6\/(-39). Suppose g = y - m, -5*y - 3*m + 23 + 87 = 0. What is the highest common factor of 1 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-24)\/14 - -2). Suppose -g = 5*b + 3. Let o be ((-1)\/(-4)*b)\/(-1). Which is smaller: o or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31.803 + -31.532. What is the third biggest value in -0.1, j, -0.4, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*d**2 + 96*d**2 - 18 + 0 - 47*d**2.\nAnswer: -d**2 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 183.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**4 - 4*i**4 + i**4 - 2*i**4 + 3*i**4 + i**4 + (i + i - 3*i)*(2*i**2 - 2*i**2 - 2*i**3) - 223*i**4 + 237*i**4 + 311*i**4.\nAnswer: 327*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/440 and -51\/15235.\nAnswer: 121880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/(-742))\/(110\/(-77))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h + 29. Let q(s) = 8*s - 59. What is -3*q(r) - 5*u(r)?\nAnswer: r + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 8:42 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from jtuttutjuitmmujuu?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11231425 + 2?\nAnswer: 11231427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -24*h - 34. Let y(k) = -16*k - 25. Let o(l) = -1. Let m(r) = 2*o(r) - y(r). Let i(s) = -5*b(s) - 8*m(s). What is the tens digit of i(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**5 + 3*z**4 + 2*z**3 - z + 3. Let l(b) be the first derivative of -b**5\/5 - b - 3. Let f(j) = 3*l(j) + p(j). Solve f(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -3.04. Let k = -136\/3 - -45. What is the closest to 2\/3 in 1, k, d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**9\/5040 + v**5\/40 - v**4\/4 - 3*v. Let l(d) be the third derivative of r(d). Differentiate l(z) with respect to z.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28937*p - 2 + 3*p**2 - 63325*p + 0.\nAnswer: 3*p**2 - 92262*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 times -19.395?\nAnswer: -1318.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14100987?\nAnswer: 3, 47, 97, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/21)\/((-1)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 20800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 140\/17, -2\/7, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5 = r + 2, 14 = 3*r - 2*w. Let f = r - 2. Sort f, -5, 5.\nAnswer: -5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.06476 - -0.06476. Which is the nearest to 0? (a) s (b) -2\/9 (c) 4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-85 - (-31 + 14)) - 20.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3315*s**3 - 3351*s**3 + 6693*s**3 - s.\nAnswer: 27*s**3 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z. Let p(u) = 10*u. Let c(j) = -2 + 6 - 4*j**2 + 5 - j**3 + 23*j - 11*j. Let v be c(-6). Give v*l(h) - 2*p(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 318 divide 5782242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = y - 0. Let n(t) = t**3 + 12*t**2 + 11*t + 7. List the prime factors of n(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 6:23 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1992\/(-96)*(-43 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88.7 + -89. Which is the nearest to -1? (a) 1\/6 (b) 2\/13 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 181090259 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 19*k**2 - 7 - 27*k**2.\nAnswer: -8*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 8:22 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1924, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -3, 1, 25, 75, 157?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 638 and 1392.\nAnswer: 15312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*v**2 + 4*v**2 + 9*v**2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/7 in 0.5, -4\/31, 64?\nAnswer: -4\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - n**2 - 1. Let i(g) = -g**3 - 4*g**2 - 3*g. Let k be i(-2). Let w be m(k). Suppose -145 = -5*u + 5*v, w*u + u = -v + 136. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(0 + (-2)\/(-3)). Suppose -15 = -l - 52*v + 47*v, 4*v + 12 = 4*l. Suppose -l*j = -j - s. What is the highest common factor of j and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v + 5. Let h be l(0). Let u(t) = 4*t - 1. Let c be u(1). Suppose -2*k + 2 = c*a + 8, -10 = 4*k + h*a. Which is greater: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -408 + 408. Let l = 14 - 8. Suppose l*m - m = k. Solve 2*s + 2 + 0 = m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 49*f - 240 = 0. Suppose 35615 = -f*a + 29*a + 2*x, 5*x = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-60) + (-19)\/6. Let q = p + 10. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + ((6*(sqrt(308) - sqrt(308)*-2))\/(sqrt(7) - -1*sqrt(448)))**2)*-3.\nAnswer: -548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 4*k**2 - 10*k + 8. Suppose -2*d + 0 = 2*b - 4, 5*b + 32 = 2*d. What is the tens digit of i(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 20 = -8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*d + d - 2*d - d + 4*d - d + (-1 + 3 + 0)*(d + d + 0*d) - 5*d + d - d + 5 - 5 + 6*d.\nAnswer: 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.2 = 0.34217793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*b**2\/2 + 280055*b\/4 - 1147385\/4.\nAnswer: -5*(b - 5597)*(10*b - 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 j when three letters picked without replacement from jjjjbjjb?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3*(sqrt(441) - (-1*(sqrt(441) + -1*sqrt(441) + sqrt(441)) - sqrt(441))))\/(sqrt(2800)*-1 - sqrt(2800)))**2.\nAnswer: 5103\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1998, 6, -4, 0, 3 in decreasing order.\nAnswer: 6, 3, 0, -4, -1998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27603 - 10862 = 2304*b - 1519*b for b.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0337 take away -60627584305.3?\nAnswer: 60627584305.2663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqa when four letters picked without replacement from qlwqjwalbwqawbjl?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 403 + -404. Let y = -4.9 - 0.1. Let h = -8.3 - -8. Which is the nearest to -0.2? (a) j (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x - 150 + 291 - 141.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 5*x**2 - 33*x + 153. Does 4 divide i(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(234)*1)\/sqrt(9) + sqrt(26))\/(sqrt(198)\/sqrt(11)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.18 + 0.18. What is the nearest to y in 2\/3, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -0.34. Let v be (5\/(-24))\/((-75)\/(-30)). What is the nearest to v in -1\/2, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/9)\/d)\/(d\/((d*d**(-7\/4)*d)\/d)) assuming d is positive.\nAnswer: d**(-103\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135 is divided by (-8968)\/(-266) - ((-13)\/(-28) + 6\/(-8))?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1141988, -1141987, -1141990, -1141997, -1142008?\n\"Answer: -2*v**2 + 7*v - 1141993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 8*n**2 - 28*n - 5. Give k(11).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i. Let c be 9\/18*i\/2. Solve -u + c = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-172)\/8 - (-2)\/(-4). Let m = -13 - y. Suppose -m*g + 5*g + 44 = 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 10:40 AM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2752902?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -8, 4*t - 3*j - 22 = -0*t. Suppose -50 = t*k - 9*k. Let v be k*(2 - 3\/2). Solve 6*b - v*b - 1 = w, 2*b = -5*w + 16 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, 345612 in decreasing order.\nAnswer: 345612, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 15*w + 4. Let m(j) = 1. Let x(v) = 3*m(v) - u(v). What are the prime factors of x(-1)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5015859*z**3 + 5015868*z**3 - 84*z - 79*z.\nAnswer: 9*z**3 - 163*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 69 = -117. Factor 5*c - c + 63*c**2 + 92*c**3 + 8*c**x - 19*c**2 - 4*c.\nAnswer: 4*c**2*(c + 11)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2212 and 127\/276?\nAnswer: 152628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11*k + 6 - 5*k**2 - 11*k + k**3 - 2*k + 0*k**2. What is o(4)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/5 + 18058*a**3 - 1444832*a**2\/5 + 5779584*a\/5.\nAnswer: a*(a - 8)**2*(a + 90306)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21\/(-6))\/((-119)\/1020). What is the highest common divisor of 960 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+441.065\nAnswer: 439.065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s - 5*s + 7*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 522.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, j: 1, a: 2, z: 4, f: 2}. What is prob of picking 2 f?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -4*k + 6. List the prime factors of u(-8).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 122.2 + -122. Let z = 326\/15 - 107\/5. Which is the nearest to 2? (a) f (b) 0 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 236919*d + 2132514.\nAnswer: -3*(d - 78982)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -64, -115, -190, -295, -436, -619?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/8*1 - (23 + -25).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 884473137 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 14429*p**2 - p + 3. Is c(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*c**4 + 0 + 39\/2*c**3 + 0*c + 0*c**2.\nAnswer: 3*c**3*(c + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5810068867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 210*q**2 - 10*q + 28. What is the tens digit of p(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 310442?\nAnswer: -310432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10\/7 (b) 1\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -158 - -444. Calculate the highest common divisor of 26 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12631 + 23474. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - sqrt(1400)\/sqrt(8)) + (0 + sqrt(7) + -2)**2.\nAnswer: -8*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 512645, 1025226, 1537781, 2050310, 2562813?\n\"Answer: -13*s**2 + 512620*s + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/(-2) + 1244\/(-4))*-1. What is the highest common factor of 532 and b?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (22 + -9 + -15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*k - 79 + 44 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 882 or 876?\nAnswer: 882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k - 40 = 3*o, -4*o - 2 = 2*k. Suppose -k = -n + f + 2, -f + 11 = 3*n. Suppose -738 = -n*l - 103. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.390811ns in hours?\nAnswer: 0.0000000000214974475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.75102um to centimeters.\nAnswer: 0.006875102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-84))\/((-10)\/(-112))*735\/(-294)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -36, -30?\n\"Answer: 6*r - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1182 + 11286561.155.\nAnswer: 11286561.2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from nuhhnnunnkhhnnhu?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 12, 104*d - 2*x + 5 = 105*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18175890, -36351698, -54527504, -72703308?\n\"Answer: q**2 - 18175811*q - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142*k + 1249 = 255. Let b(j) = j**3 - 2*j + 5 - 3 + 3*j + 7*j**2. What is b(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 68\/3 + -23. Let d(i) be the second derivative of -i**3\/6 + 5*i**2\/2 - 6*i. Let u be d(4). Which is smaller: u or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.1 + 4369023?\nAnswer: 4369428.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 913 times -0.013?\nAnswer: -11.869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.4. Let y = -754 - -751. Which is the nearest to 1\/4? (a) y (b) n (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2928*u**6 - 1515*u**2 wrt u?\nAnswer: 351360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*f + 8*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -1\/2*a**2 + 7\/2*a**5 + 0*a + 11\/4*a**4 - 5\/4*a**3 + 0 = 0.\nAnswer: -1, -2\/7, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 315. Does 21 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*c = -3668, 2*c = 5*f + 63 - 3735. What is the hundreds digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 1. Let y(i) = 0*i - i + 7*i - 4*i + 1. What is the units digit of y(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 111027.\nAnswer: 888216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - 11. Let s(i) = -i**2 - 1. Let f(l) = -r(l) + s(l). What is the derivative of f(x) wrt x?\nAnswer: -8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -0.5 (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 11:42 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**2\/4 - 27916*v - 48524928 = 0 for v.\nAnswer: -1712, 113376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zur when three letters picked without replacement from uzggrnwn.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*y = -6*o + 15, 2*y + 20 = 2*o. What is the highest common factor of o and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17166604 and 546.\nAnswer: 51499812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000895228 rounded to 6 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 2:40 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 80. Let p(v) = 3399*v**2 + 3*v + 10. Let w be p(t). Suppose -k - 4*k + w = 0. Round k to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let m(u) = 9*u. Let f(h) = -5*m(h) + 40*r(h). Let v(l) = 2*l. What is v(f(k))?\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -u - 2*u + 2*u + (5 + 7 - 15)*(-3*u + 6*u - 4*u) in the form b*u + y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4 + -3*((2 + sqrt(14)\/(sqrt(2)*2))*5)**2)*5.\nAnswer: -8625\/4 - 750*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 554087 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = -5*t - 1, 4*l + t = 14. Let c be 161\/6 + 2\/12. Suppose c = l*k - d, -2*k = -k + 5*d + 9. Calculate the highest common divisor of k and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1112?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 2*d - 3*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-3)\/(-2 + -1)). Suppose -2*m + 4*m - 22 = s. Calculate the greatest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*n = 153*n + 2106 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208857 by 6.\nAnswer: 69619\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 240 and 16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*j**2 + 2)*(3*j + 2*j - 3*j) - 5*j**3 + 2*j**3 + j**3 + (6 + 2 - 4)*(j**3 - 2*j**3 + 3*j**3).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11011001010010100000 (base 2) to base 14\nAnswer: -1924c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/4))**(-2\/15)\/((v*v\/(v\/(v*v*v\/(v**2\/v)*v)))\/v)**(7\/3))**32 assuming v is positive.\nAnswer: v**(-1136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 9:57 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - cd?\nAnswer: -cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -775930 (base 10) to base 16.\nAnswer: -bd6fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -646303023 to the nearest one hundred thousand.\nAnswer: -646300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -17 + 303*q - 299*q + 80. Let n(k) = k**2. What is n(j(c))?\nAnswer: 16*c**2 + 504*c + 3969","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Suppose 4*q - l = 26. Is (-2)\/q - (-494)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 4*s - 12, -5*s + 15 = y - 10*s. Let v be 12\/54 + 4\/(-18). Solve v*g**2 + y*g + 2*g + 2*g**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 161*k = 11816 + 21189. Calculate the highest common factor of 80 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6656107 is divided by 2141.\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -114*j**2 + 32 + 13*j**2 + 26 + 129 - 157*j**2 wrt j.\nAnswer: -516*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*p + 1205 = -204*p. Let i = -328 + p. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 10*m - 18. Let c be r(2). Solve 0*f + 8 = -c*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197829 is divided by 1709?\nAnswer: 1294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1015*b + 3895028 - 3895028.\nAnswer: 1015*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 159, 376, 691, 1110?\nAnswer: 1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -62 + 61.97. Let j = 2.97 - m. Which is the closest to -3? (a) j (b) 2\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 divided by -50931.\nAnswer: -239\/50931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*q*y**2 - 173*q + 13*y**4 wrt y.\nAnswer: -6*q*y + 52*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 257340*t + 3311193780.\nAnswer: 5*(t - 25734)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + 2*g**2 - 3*g + 2. Let d be w(-3). Solve 11 = -d*o + 3*m, -3*m = -4*o - 9 + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**8\/56 + p**7\/70 + 143*p**4\/24 - 207*p**2. Find the second derivative of s(j) wrt j.\nAnswer: 120*j**3 + 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -10*c - 3. Suppose 2*h = -2*h, -r - 3 = -4*h. Let g be j(r). What is the smallest common multiple of 114\/g - (-4)\/(-18) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 18*p - 79. Let h be g(10). Which is greater: 3\/518 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10\/323 + -303\/646. Which is the closest to t? (a) -3 (b) 0.2 (c) -25 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 15\/1183696?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4\/3))**48\/(z\/(z**14*z)*z**9) assuming z is positive.\nAnswer: z**(-59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-45)\/s**4 assuming s is positive.\nAnswer: s**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4))**(2\/39)*s**(-8\/5)*s*s**(-2\/45) assuming s is positive.\nAnswer: s**(-497\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 8*s + 3685 = 0. What are the prime factors of s?\nAnswer: 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11847019 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 21122 (base 3) to base 14\nAnswer: 10a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9. Suppose -q - 2*q + 99 = g. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 14*f**2 - 17*f - 4. Let z be a(-13). Round z to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 10:12 AM?\nAnswer: 4:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -600, -613, -626, -639, -652, -665?\n\"Answer: -13*k - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -46246, -92270, -138388, -184648, -231098?\n\"Answer: -8*g**3 + g**2 - 45971*g - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5016\/(-5940) - (-8)\/18.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - -21 - (-19 - -13 - 7).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o - 1. Let u(g) = 227 - 227 + 11*g. Let f(a) = 6*n(a) + u(a). Let l = 1 + 0. Let r(v) = v - 1. What is l*f(q) - 6*r(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -7*v**3\/3 - 7*v**2\/2 + 7. Find the second derivative of d(y) wrt y.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -1840 + 692. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*(x\/x**(-5))\/x)*x)\/x*x**4*(((x\/(x**(-1\/5)\/x*x)*x)\/x)\/x)\/x**(-1))\/((x\/x**(5\/4))\/(x*x**6))**(7\/3) assuming x is positive.\nAnswer: x**(1027\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 6 = 0, 4*q - 6*q = 2*r - 26. Solve -5*b + r = -14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 339380*f**2 + 232569 wrt f?\nAnswer: 678760*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -147*w**4 - 3182172*w**3 - 17220551052*w**2 + 9841094208*w - 1405907712 = 0?\nAnswer: -10824, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3811954.\nAnswer: 2, 1091, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 58\/(-4)*(6 + -8). Put o, 2, 5, 3 in increasing order.\nAnswer: 2, 3, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -4 (c) -1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let v(i) = -2*i - 13. Let n be v(-9). Let d(z) be the third derivative of 0*z**3 + 0*z + 0 + 0*z**4 + 1\/30*z**n - z**2. Give d(u(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -22580454 times 2\nAnswer: -45160908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13847*g + 11780.\nAnswer: -13847","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2214\/(-984))\/((-153)\/8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12396 and 7572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106423 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.13 + -1.97. Let z = -72 + 73.16. Let g = j - z. What is the smallest value in -5, -1\/4, g?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (8 - 11) - -4?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -4. Suppose -i + y = -4, -i + 2*y + 1 + p = 0. Let h be 9*(22 - (2 - i)). What is the greatest common divisor of h and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -0.5497\nAnswer: 7.4503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of 0 + 8*d**2 + 0*d**3 + 1\/60*d**6 + 3\/4*d**4 + 0*d - 1\/5*d**5. Suppose g(v) = 0. What is v?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 - -9. What is the third biggest value in -1, k, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -43*s - 2. Is a(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*z + 1067 - 4667 = 65*z. Suppose 0*j + 4*j = 76. What is the remainder when z is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93840*s - 281426*s + 93845*s + 93730*s.\nAnswer: -11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 5*s**2 - 4*s - 1. Let a be q(5). Let g be (a\/(-12))\/(-7)*-1. Let k = 63 + -316\/5. Which is greater: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 - 80 = -14*f - 13 for f.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.39, -5, 0.1751, 7, -0.1 in decreasing order.\nAnswer: 7, 0.1751, -0.1, -0.39, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2000*j - 59739. Give c(-30).\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nniiiigniniiniinii. Give prob of sequence ii.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + sqrt(363)*1).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (15\/30)\/((-1)\/(-30)). Let l be (-3)\/(-4) - t\/(-12). Factor -55*v**l + 2*v - 2*v + 60*v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 26, -0.2, -6.\nAnswer: -6, -0.2, 26, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**(-4\/7)*k*k)*(k**6\/k)\/k)**6\/((k**3*k*k**(-1)*k)\/(k**(-2))**(-11\/6)) assuming k is positive.\nAnswer: k**(443\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1242 and 69954822.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15049 and 707?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -3*z - 3*f, 5*f + 61 - 126 = 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1350*z**4 + 7310*z**3 - 1998*z**2 - 4022*z + 60 = 0. What is z?\nAnswer: -3\/5, 2\/135, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 4 + 2*a + 29 + 3*a.\nAnswer: a + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3628?\nAnswer: 2, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 2\/791 (c) 3\/2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 0) + 2 + -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 4:09 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 4*h. Let q be -3 + (-2 + 11 - 3). Suppose -q = -n - 0. Determine a(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6184.86 (b) -14 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5737 is divided by 1360?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5347\/562 - 4\/281. Find the common denominator of -109\/10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m - 4*m - 1 - 7*m + 6 + 550*m**2 + 0*m wrt m?\nAnswer: 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1186 or 1257?\nAnswer: 1257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**3 - 5208*i**2 - 249300*i + 1377200 = 0?\nAnswer: -1252, -55, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**3 + 17*s**2 + 13*s - 58. What is the remainder when 560 is divided by j(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(1\/2))\/(j\/(j\/j**43*j)) assuming j is positive.\nAnswer: j**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 37*g*i**2*r**2 + g*r**3 + 2*i**2*r - 24*i*r**3 with respect to g.\nAnswer: 37*i**2*r**2 + r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/(-1 + 4)*(-573294)\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Suppose 3*q = 4*s - 2, 2*s - 1 = -4*q + 11. Let m be -2 + s + 2\/j. Put 0.1, -1, m in decreasing order.\nAnswer: m, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84.9, 3, -2\/15.\nAnswer: -2\/15, 3, 84.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 314 (base 9) in base 2?\nAnswer: 100000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 4*l + 2*l**3)*(442 - 186 + 564) + 0*l**2 - l**3 + 0*l**2.\nAnswer: 1639*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-32)*2*-2. Let t be -6 + 11\/((-110)\/(-56)). Which is the second biggest value? (a) t (b) 0.5 (c) u (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(34)\/sqrt(2) - sqrt(17))**2*-4.\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 250520134 + 2?\nAnswer: 250520140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 9\/(27\/(-12))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -198 - 27439?\nAnswer: -27626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 210, 474, 842, 1314?\nAnswer: 1890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-880)\/(-330)*(-42)\/4. Suppose -c = -6*c - 265. Let l = o - c. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**7\/14 - 3*k**6\/10 + 3*k**5\/10 - 8*k. Factor v(h).\nAnswer: 3*h**3*(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00507644 rounded to four dps?\nAnswer: -0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2072\/504 - 2\/18. Solve -4*r - 2*p = -51 + 21, -5*p = y*r - 45 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (198\/(-11253))\/(48\/176) + ((-1122)\/(-31))\/3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 28 = -4*p, -5*p + 25 = -0*p. Let w(t) = 9*t**2 - 28*t**2 + 12*t**2 + 8*t**o. Let f(a) = 110*a**2. Give w(f(s)).\nAnswer: 12100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 25 = -0*x. Let r be (-6)\/15 - 27*1\/x. Let s(o) = -o**2 + 5*o - 3. Give s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 4. Let u = -0.027 - -5.927. Let t = u - l. Which is the nearest to t? (a) 0.2 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.162 and -54956?\nAnswer: 8902.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -24 - 2*j + 34*j**2 + 1\/3*j**3 - 1\/4*j**4. What is the derivative of v(q) wrt q?\nAnswer: -6*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 68. Let c(z) = z**3 - 6*z**2 + 9*z - 6. Calculate the smallest common multiple of c(5) and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -36101942.\nAnswer: 10830582.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28025 - -23450. Which is smaller: -1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 5, -3\/70, -13, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -930, -1662, -2394?\nAnswer: -3126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -4*z - 12, 3*p + 2*z - 13 = -3. Suppose 0 = -4*b + 8 + p. Differentiate -8*u - 7 - b + 2 wrt u.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*n - 9*n - 106*n**2 + 214*n**2 + 20*n - 111*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8109 - 115 + 476 = 121*d for d.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24282948, 24282955, 24282968, 24282987, 24283012, 24283043?\nAnswer: 24283080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -326698000 rounded to the nearest one million?\nAnswer: -327000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 246.4, -6, 1?\nAnswer: 246.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 3259 = 4629. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 271*a - 3996. Give k(-255).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4010.6 millilitres to litres.\nAnswer: 4.0106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/45)\/(1\/(-3)). Let p = -0.1 + 0.1. Let a = 0.054 - -3.946. Sort w, a, p in ascending order.\nAnswer: w, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -740, -1779, -3234?\nAnswer: -5105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/111 and 15\/148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27958*i**4*p - 5*i**3*p - 2*i**3 + i**2 - 51*i - 2*p + 27 wrt i?\nAnswer: 670992*i*p - 30*p - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (5 + -1 - 1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 157706.69 * 4\nAnswer: 630826.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 3*m = 9300033, 3*f + 3100001 = 4*f - m. Let i be f\/(-10) - 21\/(-35). What is i rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggzzg. Give prob of picking 3 g and 1 z.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 744, -24, 3, 5 in ascending order.\nAnswer: -24, 3, 5, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 298, -67, -3, -474, 2\/7, 0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-23 + -6 - -19)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -2\/7, 19, 0.4, 53?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 343330874 to the nearest integer?\nAnswer: 18529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145*p**4 + 663*p**3 - 472365*p**2.\nAnswer: 3480*p + 3978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 125*k - 3. Let x be (12\/(-21))\/((-6)\/21). Is q(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10117, 10955, 12349, 14299, 16805?\nAnswer: 19867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -39*s - 66*s + 210. Which is the nearest to -1.5? (a) s (b) -2\/7 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*z = 113848, 4*n - 104901 = -2*z + 8967. Round n to the nearest one thousand.\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7) + (sqrt(140)\/sqrt(4))\/sqrt(5) + 3 - (-3 + 2*sqrt(7) - sqrt(63)\/(sqrt(144) - sqrt(9)))**2.\nAnswer: -229\/9 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 158.543919us?\nAnswer: 0.0000000018349990625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 777*f**2 - 3*f + 2*f + f + 790*f**2 - 1615*f**2.\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 90 - 10*z**2 - 76*z**2 - 90 + 181 to the form l*z + r*z**2 + o and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + p - 4. Suppose -4*b + 16 = p, -5*o - b + 23 = 0. Suppose -o*j + 3*j = -46. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/(-84) - (-264)\/(-14). Let n = i + 25. What is the smallest value in n, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2511 greater than or equal to -82910\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*i**2 - 51*i**2 + 10*i**2 + 8*i**3 + 11*i**2 + 15*i**2 + 10*i to z*i + f*i**2 + a + k*i**3 and give k.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52.0792 - 52.03. Round l to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78287789 rounded to two dps?\nAnswer: 2.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000126414 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*c + 1075 - 52 + 786 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Do 3641 and -165 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 2*h + 19*h**2 - 5*h.\nAnswer: 19*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46119?\nAnswer: 3, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66 = 4*z - 146. What is the first derivative of -232*o - 15*o**2 + 229*o - z + 2*o**2 wrt o?\nAnswer: -26*o - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1, 15, -0.2, -105.5, 3\/5?\nAnswer: -105.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**3 + 322*x**2 + 5*x + 83. Give h(46).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.779994541 - -18.78. Round p to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 less than 109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.01 + -0.01. Let d be 4416\/462 - 12 - (-4)\/(-14). What is the closest to p in -2\/7, -3, d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4.04922 or 3\/16?\nAnswer: -4.04922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3621, 3, 3.4?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 171157105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -74 + 104. Suppose -10*x + v = -2780. Calculate the remainder when x is divided by 73.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 21*y - 132. What is k(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-75)\/15*2\/(-4). Let m(j) be the second derivative of j - b*j**2 + 0 + 1\/3*j**3. What is m(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -366 + 406. Suppose -d = n - 75. Calculate the remainder when 77 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 385645276 by -96411319.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -5*b**2 - 7*b + 5. What is c(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*k + 138 = 0, -2*n + 2*k - 7 = -95. Which is bigger: 48 or n?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iriffqfqqfqqzfofrziz. What is prob of picking 1 z and 1 f?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 609 + -569. What is the remainder when q is divided by 1\/7 - ((-1940)\/(-28))\/(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (-5 + (7 - -31) - 88)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -187.6 - 0.4. Let z = -129.9784 - k. Let t = z - 58. What is t rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**3 + 4*n**2 + 4*n - 4. Suppose -3*f = -3*p - 0*p, p = -4. Let o(h) = h**3 + h**2 + h - 1. Calculate f*o(t) + w(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.1. Let d = 10359 + -10358. Which is the closest to -10? (a) w (b) 4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 e when two letters picked without replacement from {g: 2, o: 3, v: 3, e: 1, i: 2, k: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 101 divide 26420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 73, 75, 77?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4 + 192568*z**3 + 9047428*z**2 + 110673608*z + 101818746 = 0. What is z?\nAnswer: -96237, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1702370, 3404681, 5107018, 6809393, 8511818, 10214305?\n\"Answer: 2*u**3 + u**2 + 1702294*u + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.3, 4, 1\/4, -0.2, 0.002, 1\/2, -1.34?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2221850098 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - q - 1. Let w be h(4). Suppose 0 = -5*c + 3 + w. Solve 3*i - 12 = -2*i - 4*a, -4*i - c = -2*a for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 107 - -4879.\nAnswer: 4986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*x - 3954 = -44*x - 6013 - 5485 for x.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1. Let i(k) = -2*k**2 + 11*k - 6. Let x(q) = i(q) + 2*s(q). Let y be x(6). List the prime factors of ((-798)\/3)\/(y - -5 - -4).\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1332 - 1281. What is the remainder when 245 is divided by y?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*c + 4613, 162*c - 5*l + 1136 = 163*c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -20 + 20 + -27 - (1 - 8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*o**3 - 56*o wrt o?\nAnswer: 390*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-4 + 4 - 3*f)*(-16*f**3 - 2*f + 3*f + 13*f**3).\nAnswer: 18*f**4 - 6*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (0 - 1))*(-70 + (-226)\/(-3))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -34*p + 2. Suppose 2*r + 0 + 4 = 0. Let b be j(r). What is the highest common factor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4\/3 + 100*u**3\/3 - 616*u**2\/3.\nAnswer: -4*u**2*(u - 14)*(u - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -12, -21?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -313 + 283. Let s = -0.1 + -4.9. What is the third biggest value in -2, n, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 452\/65? (a) 2\/5 (b) -5 (c) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -111014366?\nAnswer: 111014373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -5, -1185\/4, 3?\nAnswer: -1185\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is c (base 13) in base 7?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 576 and 48.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-13 + 0 + (9 - 3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 60*y + 134. Let i be o(-22). Solve -3*w + 6 = -p - 0, -i*w + 15 = 3*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzww when four letters picked without replacement from zwzzzzzzzwzzzzzw.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 14) to base 15\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4296 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -1253647.19 to the nearest 100.\nAnswer: -1253600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 7\/((-385)\/(-730)) - (12 + 1)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4561569*t**2 - 2*t + 487320 wrt t.\nAnswer: 9123138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2 - p - 1. Let r be f(-1). Let d be (r\/(-3))\/((-2)\/(-15)). Suppose -5*b = -4*t - t + 10, d*t = -5*b + 10. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.98 - -31. Let k = 3.98 + v. What is the closest to 0.2 in -2\/7, -6, k?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 258, 500, 744, 990?\nAnswer: 1238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 6*s**2 - 5*s + 4. Let g be u(-5). Let d be g\/(-4)*6\/2. Does 17 divide (-2 + (-23)\/d)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 4 = -4*s, 6*p - 2*p = s + 1. Suppose -2*b + t + 7 = 0, b + p*t + 3*t = 0. Solve 0 = b*l - 0*l - 4*a - 2, l - 4 = 3*a for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5*q. Let t(v) = 3270 - 1633 - 1637 + 419*v. Give u(t(m)).\nAnswer: -2095*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -18 + 1 + (4 - 1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011 + 10000?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-12))\/(3\/2). Let w(v) = v**2 - 14*v - 316. Let s be w(26). Which is the closest to -2\/9? (a) s (b) y (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + sqrt(11) + sqrt(1331) + -1 + sqrt(1331))**2*-6.\nAnswer: -34938 - 552*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -acb + -11?\nAnswer: -adc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - ((-4)\/(-2))\/1. Suppose 922 + 68 = 11*x. Suppose 38 = 3*f + 3*n - 7, -g*f - 2*n = -x. What is the greatest common factor of 20 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 32 = 7*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*t - 36*t - 32. Let p be (t - -6)*(0 + 2). Solve -i - 4*a - 22 = 2*i, 4*i + p*a + 24 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -25*q - 1. Let m(n) = -177*n + 8. What is -4*g(y) + m(y)?\nAnswer: -77*y + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + (-2 - 20\/(-2)). Let r(h) = h**3 - 5*h**2 + 2*h - 7. Let o be r(l). Solve 4 = -g + o*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 392922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(640)\/sqrt(5).\nAnswer: -2 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 218?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-2)*(-48)\/((-120)\/10)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72335, -144689, -217043?\nAnswer: -289397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2102.3 - -2102.261891. Round k to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 680*m**3 - 4*m + 684*m**3 - 2047*m**3 - m - 1 + 687*m**3. Let v be 7\/(-2) - (-2)\/4. Let b(o) = -2*o**3 + o**2 + 3*o. Give v*t(s) - 5*b(s).\nAnswer: -2*s**3 - 2*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 2 + -13 - -18\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15, 1\/5, 4, 20\/7, -116?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 759\/44 - 2\/8. Suppose -4*s - m = -165. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -54 + 266\/5. Let j = 2 - 3\/2. Which is the nearest to -0.1? (a) 4 (b) j (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 11*g**6\/360 + 4*g**3\/3 - 7. Let w(i) be the third derivative of p(i). Let h(s) = 3*s. Give h(w(f)).\nAnswer: 33*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 879268.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z. Calculate g(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 729 in 8, 1, 5, 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*d + 9127 = -2303 + 1422 - 522 for d.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*d**2 - 55 + 4*d**6 + 55 wrt d?\nAnswer: 480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/8)\/((-306)\/(-62016)*76).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i - 18. Let d(z) = -2*z + 6. Suppose 0 = 3*y + y + 3*f - 23, 4*f = 4*y - 44. Let t(j) = y*d(j) + 3*c(j). Suppose 35*x - 35 = 40*x. Calculate t(x).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 151886.\nAnswer: 5\/151886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 11\/55*(2 + 23). Let v(a) = -a - 2. Let x(u) = -2 - 4 - u + 4. Calculate y*v(f) - 4*x(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -627341.512 to the nearest ten.\nAnswer: -627340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 11 + 13. Let d(h) = h**2 + h - 1. Let t(l) = 2*l**2 + 9*l - 10. Let y(q) = b*t(q) - 3*d(q). Calculate y(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(539)*-1 + 0)**2 + sqrt(539) + 4).\nAnswer: -3258 - 42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -19*f**3 - 2*f**2 - 2*f - 2. Let p(w) = -38*w**3 - 5*w**2 - 5*w - 5. Suppose 79*r = 56*r + 115. Calculate r*i(j) - 2*p(j).\nAnswer: -19*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exesk. Give prob of sequence es.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 474188 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -101.4723 rounded to one decimal place?\nAnswer: -101.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**6\/60 + q**5\/30 - 5*q**3\/6 - 9*q**2. Let u be (-60)\/8*2\/3. Let p(s) = -2*s**3 - 2*s**2 + 4. Calculate u*p(j) - 4*b(j).\nAnswer: 2*j**3 + 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 7:33 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 7*k**2 - 2*k + 14. Let q(s) = -s - 1. Let j(x) = -b(x) - 5*q(x). Let z(g) = g**2 + 5*g + 6. Let v be z(-5). What is j(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*t + 3*r, 4*t - 425 + 437 = 4*r for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) -0.3 (b) 2 (c) -0.203 (d) -21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256439728?\nAnswer: 2, 149, 263, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a centimeter in micrometers?\nAnswer: 55000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*s + 153 - 20. Suppose -k + s = 4*w, k + k - 14 = -2*w. Solve -3*a = -6*a - 2*t + k, 4*t + 9 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*r + 7048, 5*f - 66436 = 36*r - 193032. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.413184mm to micrometers.\nAnswer: 413.184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 3*k**5\/5 - k**4\/4 - k**3 + k**2\/2 + 6. Find d such that o(d) = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y + 6*y - 35282 = 11*y. Does 26 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.4 + -49.\nAnswer: -44.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r**3 - 8*r**2 + 2*r**3 + 14 - 12 - 4*r. Let h be s(-7). Let p = -14 - h. Solve -2*q - n + 8 = -0*n, p*n - 10 = -4*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252 = -450*l + 2105 + 4997 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*d = -92*d + 52227. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20121 and 11949936?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0123 - 0.2877. What is the closest to 9\/8 in 2\/9, 1, 3, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*1*7\/7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the third derivative of -t**4\/12 - 5*t**3\/6 - 23*t**2 - t. Let c(p) = -6*p - 14. Calculate 4*c(x) - 11*m(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) - (-4 + sqrt(1900))) + -5*sqrt(38)\/sqrt(2))**2 + (sqrt(4617) + 1*sqrt(4617) - sqrt(4617))\/(sqrt(12) - sqrt(12)*-2).\nAnswer: -221*sqrt(19)\/2 + 3740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.68 - -0.32. Suppose -34*h = -4*m - 36*h + 18, 4*m + 4*h = 16. Put 1\/3, -0.4, p, m in descending order.\nAnswer: m, p, 1\/3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, -3, 12 in ascending order.\nAnswer: -3, 12, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjfjrfrppjjp. What is prob of picking 2 p?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 39 = -5*r. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216309000 rounded to the nearest 1000000?\nAnswer: -216000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7728)\/(-12960) + 5\/(-25)*3. Which is the biggest value? (a) f (b) 7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qiqkqqiqiqhirqkahk. What is prob of sequence ar?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 + 3*k + 17. What is i(-7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 125914186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -230 - -122. Let g = a + 561. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*w = 3*w - 2, 0 = -4*w + 4. Let u be t - 3 - -4 - 3. What is the second derivative of -c**3 + u*c - c - 2*c + 0*c**3 wrt c?\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (76*y + 15*y - 9 + 11)*(y**3 - 3*y**3 - 2*y**3) as o*y + a*y**2 + x*y**4 + i + g*y**3 and give x.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(63) + sqrt(63) + -2*sqrt(315)\/sqrt(5))*2)\/(sqrt(900) + sqrt(900) + (6*(sqrt(900) - 1*sqrt(900)) - sqrt(900)) - 5*(sqrt(900) + -2*sqrt(900))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 12*s - 4*s. Suppose -5*p - 2755 = -j, 4*p - s*j + 783 = -1432. What are the prime factors of 6*(p\/(-42) + (-6)\/14)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53821489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 246 and 1812?\nAnswer: 74292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2. Let q(b) = -43*b - 41*b - 38*b - 275*b**2 + 122*b. Give q(k(p)).\nAnswer: -1100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*a - 8*a, 5*g + a - 700 = 0. Which is smaller: 140 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -892253 and -892254 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-882)*-42*3\/9?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9*b**2 - 4*b - 3. Let j be r(-2). Let t = 69 + j. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2 - 3072*r = 0.\nAnswer: 0, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -r**2 - 894367*r - 3955621 wrt r?\nAnswer: -2*r - 894367","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/35 - (-6694)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1054792*v**2 - 90492*v**2 - 169792*v**2.\nAnswer: -1315076*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 705 + 852 = 3*f. Suppose 0 = -3*g + 6*g - f. Let j = g - -78. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j. Let r be ((-364)\/1274)\/(2\/(-420)). Suppose 2*f - 2*a = 70, -a = -4*f + 4*a + 144. Let b(o) = f*o - 11*o**2 + 29*o - r*o. What is i(b(h))?\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/305230 and 93\/1037782?\nAnswer: 5188910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n - 6*n + 22*n - 12*n. Let p(g) be the third derivative of 0*g**4 + 0*g**3 + 0*g + 0 - 1\/30*g**5 - g**2. Determine z(p(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 1 + 2 + o - 4. Let m = -255 - -260. Suppose -2*t - 2*q + 0 - 2 = 0, t + m*q - 7 = 0. What is u(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -47, -5, 2\/7, 1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4522 + -4638. Which is the nearest to w? (a) -0.2 (b) -5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:20 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 3*v**2 + 3*v - 1. Give r(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1053020144 + -10?\nAnswer: -1053020154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -51, -14, 5784, -4 in descending order.\nAnswer: 5784, 4, -4, -14, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 16*a**2 - a + 17. Suppose d = -2*q + 33, -5*d = -2*q - 2*d + 29. Let g be n(q). Let i(v) = 47*v**2 - 2*v + 2. Does 13 divide i(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + 0.109\nAnswer: -0.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -8 + 18 + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -24. Let o be 2 + (4\/(-1) - -4). Let u be o + (5 - (-1 + 3)). Solve -z = -u*m + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**5 + c**3 - c**2. Let m(a) = 23*a**5 + 3*a**3 + a**2. Let l(r) = -3*b(r) + m(r). Find the third derivative of l(f) wrt f.\nAnswer: 1560*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**5 - 1185*x**4 - 67010*x**3 - 369480*x**2 - 480320*x = 0.\nAnswer: -152, -79, -4, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 3:10 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 965\/3 - 314. Let g = -281\/48 + 53\/16. Let l = g + r. What is the common denominator of 12\/7 and l?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2 - 18 = -v, -v = -4*r - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -27 - 215\/(-462)*58. Put b, 1\/3, 0, -1\/6 in descending order.\nAnswer: 1\/3, 0, b, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 1202*z**4 + 4636*z - 5436. Differentiate u(y) wrt y.\nAnswer: 14424*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y - 13 + 46 - 6 - 12. Let f be i(-1). Solve 9 = 5*m - 5*d - f, 3*d = -4*m - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23311289839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiirpiirririrrh. Give prob of sequence rii.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*1 + -4 - sqrt(7)) + -1 + (1 + sqrt(7))**2)*-1 + -2.\nAnswer: -2*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(-20112*i - 28156*i + 3997*i)*(2*i + 2*i - 2*i) to the form m*i**2 + d + w*i and give m.\nAnswer: 88542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 25*t**2 - 240*t + 456. What is d(32)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(147)\/sqrt(3) + sqrt(49) + sqrt(49)))\/(2*sqrt(7)*6 - sqrt(7)) + (((sqrt(6300) - sqrt(6300)*3) + sqrt(63))\/(sqrt(9) + sqrt(45)\/sqrt(5)*-4))**2.\nAnswer: -6*sqrt(7)\/11 + 2527\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1442 - -2071. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a decade in months?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 639 = u - 654, -4*r = 5*u - 75 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -514 - -404 - (-19 - 110).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/16)\/((-645)\/32250)?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.31 (b) 2 (c) 5 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*y - 17*y + 31 + 19*y**2 - 19*y**4 + 6*y**4 - 34 in the form q + r*y**4 + f*y**3 + c*y + n*y**2 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2 = 5*n - 1, -3*h - n = -7. Let l(m) = -m**3 - 8 + 18 - 24 - m**h. Give l(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/3496 and -83\/55252.\nAnswer: 2541592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - a + 10. Let n be w(9). Calculate the highest common divisor of n and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoz when three letters picked without replacement from {q: 3, z: 6, o: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 8*n**2. Let o(c) be the first derivative of -c**2 - 157. Calculate o(p(d)).\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j + 0 = -6, 5*t + 12*t - 15*t - 13*j + 8*j = -79 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 48*h**2 - 101*h - 129. What is the ten thousands digit of v(-58)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -908653?\nAnswer: -4\/908653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -368, -1502, -3448, -6254, -9968, -14638, -20312?\n\"Answer: -8*c**3 - 358*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 25 = -l + 4*k, 5*l - 97 = -3*k. Let z be (-364)\/10 + (-36)\/(-90). Let s = z + 56. What is the highest common divisor of l and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(224)\/sqrt(7)*4 + (-4 + sqrt(18) - 2*sqrt(8)).\nAnswer: -49*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 - 58 = -y. Let g = y - -238. Let z = g - 209. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4 + 69*p**3 + 1905*p**2 + 891*p - 84942 = 0. Calculate p.\nAnswer: -11, 6, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(48\/(-560) - (-2)\/7). Suppose 0 = 2*y + 4*i - 5*i - 2, -k*y + 2 = -4*i. Solve 7*u = y*u + 4*l - 20, 0 = 5*u - 2*l + 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 10 - 25. Let s(g) = g**2 + 3*g - 1. Let q(b) be the third derivative of b**5\/20 + 5*b**4\/12 - 2*b**3\/3 - 7*b**2. Calculate t*s(p) + 2*q(p).\nAnswer: -p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 l when two letters picked without replacement from llllnlllllnnlll.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 786, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(-1*sqrt(3)))\/(sqrt(108)*1).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2 - 2251*t + 1432*t - 3 + (t + 2*t - t)*(-1 + 2 - 4).\nAnswer: -825*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/168583524 and 119\/25161720?\nAnswer: 1685835240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9 = 2*a - 3*a, 2*a = -q + 11. What is the third derivative of 15*j**2 - 1683*j**4 + 1683*j**4 + 15*j**a wrt j?\nAnswer: 900*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + (-554)\/(-88) + (-11)\/(-44). Factor c*k - 2\/11*k**2 - 4\/11.\nAnswer: -2*(k - 2)*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -480.4 + 461. What is the fourth biggest value in -2, -3, b, -1\/7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -9*m. Let j(w) = 9*w. What is 3*c(n) + 2*j(n)?\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 4618075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 9)*(11 - 8). Let w = 83\/3 + a. What is the closest to w in 3, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*(-1 - 0) - 0. Suppose 0*f - f = -2*s, -8 = -2*s - f. Put s, u, -4 in ascending order.\nAnswer: u, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -166731, -167552, -168383, -169230, -170099?\n\"Answer: -i**3 + i**2 - 817*i - 165914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1 (b) -1\/5 (c) 2\/3 (d) -1\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (2 + 0 + 5) - -4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 0.1003194\nAnswer: -0.004012776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40*p**3 + 6*p**4 - 15*p**2 - 34*p**3 + 12*p + 53*p**3.\nAnswer: 3*p*(p - 4)*(p + 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 0*m + 5*m)*(-6*m**4 + 0*m**4 + 4*m**4) + 131390*m**5 - 131444*m**5 + 6*m**3 - m**3.\nAnswer: -56*m**5 + 5*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -283572, -567168, -850766, -1134366, -1417968, -1701572, -1985178?\n\"Answer: -s**2 - 283593*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - 1*sqrt(275))*-3 + 1*sqrt(275)*5)**2.\nAnswer: 6875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r**2 - 2*r + 9. Suppose -p + 109 - 106 = 0. Let f(h) = -2*h**2 + h - 5. Calculate p*m(n) + 5*f(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1301634 (base 7) to base 15\nAnswer: -34edc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 289 + -282. Suppose 0 = -2*i - 2*a + 574, -5*i + k*i = 5*a + 609. What are the prime factors of i?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 2)*(17*k**3 + 5*k**3 + 4*k**3) - 2*k**3 + 1 - 10*k**3 + 13*k**3 to b*k + n*k**2 + o*k**3 + c and give o.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.61614505 rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -289 or -294?\nAnswer: -289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jvwzwwjvzwvawwwvjzz. Give prob of sequence wzza.\nAnswer: 7\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 21. Let g = y - -8.3. Let u(m) = -m**3 - 2*m**2 + 2*m - 4. Let x be u(-3). Which is the closest to x? (a) 1\/9 (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 0. Let x be (-2)\/(-4)*d + -1. Suppose -3*t + 7*t - 52 = x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 613531 is divided by 308?\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 9. Let r = 104 - 415\/4. Does n = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*p + 2*f, 5 = 3*f + 2. Let h(c) = c + 5. What are the prime factors of h(p)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:56 AM and 4:24 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -3*k + i + 21403, 0 = -4*k - 5*i + 85612. Let f(c) = 64*c - 683. Let x be f(11). Suppose k = x*w - 4*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1811, -1378, -947, -518, -91, 334?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -3*-2*sqrt(68) + -3)**2.\nAnswer: -144*sqrt(17) + 2484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 1 - (5 + (-16 - -21) + -9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 94126334 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*z = 40, 2*q - z + 22 = -q. Let v = q + 14. Suppose -4*p + 2*p = -12. Calculate the highest common divisor of p and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + 10*t - 9. Let h be m(-9). Let i = h - -159. Which is greater: i or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -235*l**6\/2 + 59*l**2 - l - 213. What is the second derivative of s(k) wrt k?\nAnswer: -14100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 12:00 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -32*c**3*m**2*w - 9*c**3*m*w + c**2*w + 3*c*m*w + 131*c*w - 23009*m**2*w + m + 3 wrt m?\nAnswer: -64*c**3*w - 46018*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 + 140. Let i = z - 175.1. Put -2, 6, i in increasing order.\nAnswer: -2, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -140 + 139. Let m be y + -1*2 + (-133)\/(-57). Let z = -43\/18 + 8\/9. Is m <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*q**3 + 694*q**3 + 452*q**3.\nAnswer: 1213*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3976, 3, 522 in descending order.\nAnswer: 3976, 522, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -6*k**2 - 346 + 346 + 3*k**2. Let q(x) = -x - 3*x - 4*x + 5*x. What is q(f(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 11 - (29 - 24).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-278)\/4865)\/(4\/7)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 20 = -2*q. Let j be q*(-2)\/10*-3. Let w(m) = -m - 5. Let g(c) = c + 4. Calculate j*g(n) + 2*w(n).\nAnswer: n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 213, 307, 417, 549, 709?\nAnswer: 903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f + 370 = 2859. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-242)\/(-1749))\/11)\/((4\/(-2))\/(-6))\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*z + 864 = 67*z. Which is bigger: -1\/85 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3915237 - 3915237 + 19747*l to the form v*l + y and give v.\nAnswer: 19747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -739192*j**5 - 1566717*j**2 wrt j?\nAnswer: -44351520*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**2 + 45*x**2 - 2*x**2)*(x + 28 + x - 2).\nAnswer: 92*x**3 + 1196*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + -1 - -2 - -13. Let f = d + -17. Let l = 0.2 + 0.8. What is the second biggest value in -0.1, l, f?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (10\/(80\/24))\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15882 and 1338736132?\nAnswer: 5294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 + 125.1. Let q = -64.9 + c. Let j = 17\/28 - 6\/7. What is the closest to j in -0.1, q, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 - 201 - 3*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 15. Solve 3*h + z = o, 4*o = -4*h + 13 + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2034038 is divided by 75334.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 5*d = -22. Let k(v) = -2*v - 16. What is the smallest common multiple of k(d) and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (14*(-1)\/2 + 2). Suppose 2*x + k - 1 = -s, 0 = 2*x + 5*s - 4. Let r be (x\/(-9) - (-3)\/(-9))\/(-1). Let b(v) = v**3 + v + 21. Determine b(r).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1597\/1433?\nAnswer: 1597\/1433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/7 + 24658*q**2\/7 + 682192*q + 33292952.\nAnswer: 2*(q + 98)**2*(q + 12133)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 2*b = -8. Let l(o) = -o - 3. Let f be l(-6). Suppose f*x = -b*g - 2*x + 31, -g + x + 19 = 0. What is the remainder when g is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 25316995.\nAnswer: 3\/25316995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 9*l - 5. Let a be x(-8). Let s be (468\/8)\/a*2\/(-12). Is s bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/7 of a week in minutes?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*m**2 + 190*m**2 + 189*m**2 + 140*m**2.\nAnswer: -7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -6*q - 685. Let s(k) = k + 66. Let x(o) = -2*o - 143. Let m(l) = 13*s(l) + 6*x(l). What is f(m(z))?\nAnswer: -6*z - 685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 = 2*b - 35, -21 = b + 5*c. Let u(f) = 4*f - 9. Let o(g) = 13*g - 28. Let q(i) = -2*o(i) + 7*u(i). Let w be q(5). Solve -w*h + b = -2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 13*k = 12. Solve -k = 2*o - 3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4313.097726 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 10:01 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.7 + 29. Which is the biggest value? (a) 0.1 (b) 0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09594573 rounded to three dps?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/5, 5, -8.3, -22, -2\/9, -3 in descending order.\nAnswer: 5, 3\/5, -2\/9, -3, -8.3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3900)\/(-130))\/((-4)\/(-10) - 24\/(-40))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l. Let t be w(-9). Let r(j) = -9915*j - 9901*j + 19818*j - 5. Give r(t).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860218910 is divided by 1787.\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*j + 17 = 3*v - 33*j, -4*v + 5*j = -2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 44717 = 2*z, 2*z = -2*z + 16. What are the prime factors of u?\nAnswer: 5, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 20 - (50 - 40).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7684 (b) 0.043 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -47, 4, 2\/3487, 0.3?\nAnswer: 2\/3487","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2406615917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51532 is divided by 146?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(45) + -1.\nAnswer: -6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtuu when four letters picked without replacement from {t: 1, v: 4, u: 4, r: 10}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (5 - 5) - 6 - (-310 - -221)?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2633759 and 14195.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 0 - -2 - (260 + -258).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01 - -0.05. Let u = y + -1.06. What is the closest to -1\/3 in 1, u, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 333 a factor of 20550568?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n - 24. Let i be u(7). Let m = 455\/2 + -216. What is the common denominator of m and (-1)\/14*5*i\/5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 55*c + 2026 with respect to c.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + 0)*(136 + -128)*31\/16.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/8*(-14)\/(-2)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 26*c + 61. What is the tens digit of r(22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a + 3*a**4 + 4*a**3 - 24*a**2 + 33*a**2 + 5*a**3.\nAnswer: 3*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83662748443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 8 (b) -331121 (c) 0.4 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 19 - 5. Let f(o) = 4*o - 3*o + t*o + 0*o. Let q(y) = -5*y**2. Give q(f(j)).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 19149 + 3?\nAnswer: 19152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 g when three letters picked without replacement from lmogggoogwoooxxmg.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(27) - (6*(sqrt(432) - (-1 + sqrt(432))))**2) + 3 + 5.\nAnswer: -27*sqrt(3) - 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5943.\nAnswer: 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 + 3 = 0. Suppose -3 = -h*r + 3. Suppose -r*d - 17 = 2*s + 2*s, -5*s = -d + 26. Is d >= -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 401\/136 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 14*j**2 - j - 1. Let i(l) = 3*l + 6. Let v be i(-2). Suppose z = -v*z - 1. Determine b(z).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 6*s**2 + 4*s**2)*(0*s**2 + 4*s**2 - s**2) - 9489*s**4 + 18972*s**4 - 111*s - 9486*s**4.\nAnswer: -6*s**4 - 111*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-35))\/((-22)\/(-132132)*26)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -29. Solve 4*b - m - 6 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24229376800 rounded to the nearest one million?\nAnswer: -24229000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 10*h**3 + h**2\/2 + 64*h + 180. What is the derivative of s(k) wrt k?\nAnswer: 60*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 392863, 392927, 392991, 393055, 393119?\n\"Answer: 64*y + 392799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-5)*105\/(-168).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19)\/((-1596)\/(-140)))\/(20\/(-8))*(-975)\/(-10).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 4*g + 3 + 2, 2*g - 2*x + 2 = 0. Is (g - (-68)\/8*-2)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mppuqppzmmppu. What is prob of sequence mzq?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:41 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 392 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 587818 (b) 0 (c) 1 (d) -4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Product of 172700 and 3.88.\nAnswer: 670076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48877.\nAnswer: 37, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10075\/11 + -916. Let y be (-28 + 31)*(1 - (3 - -2)). What is the third biggest value in -0.3, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1139, 873, 431, -181, -957, -1891, -2977, -4209?\nAnswer: -5581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 1644?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58\/4 - 457\/(-914)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 95*o**2 + 61*o + 3110. What is v(94)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 1684787*h - 2. Let g be v(1). Let o = g + -744785. Suppose 2*f - 4*p = 3*f + o, 5*p - 940000 = f. Round f to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + c + 5*c)*(0 + 12 + 2).\nAnswer: 98*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 35187, 70600, 105999, 141378, 176731?\n\"Answer: -g**3 - g**2 + 35423*g - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(3*((-3*sqrt(220))\/sqrt(11) - 1*sqrt(2880)))**2*2.\nAnswer: 80997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 44*l**2 - 17. Let m(x) = x**2. Calculate m(c(u)).\nAnswer: 7744*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(18) + sqrt(108)\/(sqrt(6)*-2) - -6*(-1 + sqrt(18)))**2 + 4*(sqrt(18) + (sqrt(450))**2)*-1)*5.\nAnswer: -10035\/2 - 1230*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-294 + 1633 - 3921)*(-2*b - 2 + 2) in the form t + w*b and give w.\nAnswer: 5164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524271?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 j when three letters picked without replacement from jds.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1315 + 1335?\nAnswer: 3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 7*k - 89. What is z(13)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 5*j - 3. Let w be y(6). Suppose w*o - 6*o + 9 = 0. Solve -2*s + o = 9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 6*w + 119. Let m(n) = -n**2 - 16*n + 22. Let c be m(w). Suppose f - c + 2 = 0. What is the smallest common multiple of 10 and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 1679*o**2 - 2*o - 1690*o**2.\nAnswer: -11*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**4\/6 + 26*r. Let g(t) = 15*t. Determine k(g(p)).\nAnswer: -450*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73526027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 12142 (b) -4 (c) -1.5 (d) -9 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 3*j**2 + 0*j**2 + (1 - 1 + 2)*(2*j**2 + 3*j**2 - 3*j**2) - 3*j**2 - 13*j**2 - 15*j**2 + (8*j**2 + j**2 + 0*j**2)*(-4 - 2 + 4).\nAnswer: -44*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xebetex. What is prob of sequence bxtx?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-15)*t**(3\/19))\/((t*t\/(t\/(t*t**(-16))))\/(t\/(t*t**(-7)\/t))) assuming t is positive.\nAnswer: t**(155\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -26, -3, -2?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1)**(-3\/7) assuming n is positive.\nAnswer: n**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9 * 0.0349.\nAnswer: 0.3141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 333070161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80944 is divided by 479.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 176*r + 1225. What is q(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 5.62?\nAnswer: -11.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 8232285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 - 2*u + 2*u + (3 - 4 + 4)*(u**2 - 4*u**2 + u**2) - u**2 + u**2 - 3*u**2.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 2276\nAnswer: -1\/1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*n - 713 = -631 - 1761 for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 20. Suppose -3*j + 12 = -0*j. Suppose 2*y - 4*m - 88 = -2*y, j*y - 52 = -r*m. What is the smallest common multiple of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14669 divided by 7.\nAnswer: 14669\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 14 - 14*y - 772*y**2 + 776*y**2 + 18 - 22*y = 0.\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from ctttttttcct.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 2 = 2*f, -2*m = 3*m - 3*f + 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1239 and -67\/117705?\nAnswer: 117705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**2 + 37310*a + 19674633. Calculate r(-535).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -353*c**2 + 53331*c - 4193. What is l(151)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**4\/24 - k**3 + 80*k**2. Give i(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q - 2*j + 16, -j = -q - 0*q - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. What is j in 2*j**2 + j - j**2 + 2 - s*j**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 2174846508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*h**4 + 380*h**3 - 11*h**2 - 9?\nAnswer: -480*h + 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.42571 - 0.02571. Let d = -0.2 - 0.8. What is the fourth biggest value in 5, d, 1\/4, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2444 (base 15) to base 2.\nAnswer: 1111000100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2251157 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/34476 and -9\/3380?\nAnswer: 172380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4558788?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-405)\/18)\/((-4)\/((-208)\/3)). Round w to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -318*x**3 - 194*x**2\/3 + 1148*x\/3.\nAnswer: -2*x*(x - 1)*(477*x + 574)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1501 (b) 18\/5 (c) -11 (d) -4 (e) 0.2 (f) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*a**2 + 2*a**3 + 206*a**2 + 83*a**2.\nAnswer: 2*a**3 + 384*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 1 + 1 = 0. Suppose 2*m = -u + n, -4*m + 2*m - 5 = 3*u. Let o(p) = 2*p**3 - 2*p**2 - p - 1. What is the units digit of o(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(30\/(-4)))\/((-24)\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17630868 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -46 and -19104974.\nAnswer: 878828804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/13, -1\/4, -119\/4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 98113 and 130339?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -132 + 79. Let g = -53.58 - i. What is g rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66814 and 1446?\nAnswer: 48306522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.9 + 18.3. Let s = o - -17. Put -2\/5, s, 3 in increasing order.\nAnswer: -2\/5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.1 (b) -3\/11 (c) -5\/3 (d) -0.5 (e) -260 (f) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20.53? (a) 3\/2 (b) 0.037 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 4 - 5. Suppose -2*j + j + x = -24, -o*x = 2*j - 38. Suppose j*i = 20*i + 830. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 8. Suppose -h - 5*g = 3*h - 537, 0 = r*h + 3*g - 269. What are the prime factors of h?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + -0.1. Let r = 4894 - 4932. Are q and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, u: 3, y: 6, i: 5, e: 1}. What is prob of picking 2 y and 2 m?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -90*z. Let s(v) = -v**2. Determine u(s(j)).\nAnswer: 90*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 9 + 15 = 0. Solve x*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -4. Let l be ((-9)\/6)\/((-2)\/4). Suppose l*w + 2*w - 10 = 0. Is w greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 138 - -193. Let n = 12602837.673100541 - 12602506.6731. Let r = n - l. What is r rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g - 147 - 117. Let d = g - -35. Sort 3, d, 4 in descending order.\nAnswer: 4, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c + 6*c**3 + 0*c - c.\nAnswer: 6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + 2*sqrt(171)*1)\/(sqrt(9) - sqrt(900)*2).\nAnswer: -3*sqrt(19)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h = 5*h. Let k = -5 + 7. Sort -4, k, h in ascending order.\nAnswer: -4, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f - 6. Let x be n(3). Suppose v + 0*v - 39 = x. What is the remainder when v is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2857 - 2857.3. Let t = -4.3 + -0.7. Which is the smallest value? (a) 5 (b) t (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*f - 14 - 2 + f**2 - 2 - 4*f.\nAnswer: (f - 3)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 8:10 PM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 - 13*v + 1. Let a(p) = p**2 + 6*p - 1. Let w(z) = 5*a(z) + 2*n(z). Suppose 0 = 2*i + 33 - 41. Give w(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 10*d. Let c(g) be the first derivative of 0*g**2 + 1\/3*g**3 + 4 + 0*g. Give c(f(k)).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1.3 (b) 33 (c) -3 (d) -4 (e) 8\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -17*s - 14. Let u(r) = -16*r - 14. Let o(k) = 5*u(k) - 4*z(k). Differentiate o(n) with respect to n.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1335?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 + 24*u - 27 = 0. Calculate u.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 6:53 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -23, -15, 3, -66, -4 in descending order.\nAnswer: 5, 3, -4, -15, -23, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + ((sqrt(13) - sqrt(13)*1)**2 - sqrt(13))*-6)*6 + (-4 + (sqrt(13) - (3*sqrt(13) - sqrt(13))**2) + sqrt(13) - (-2 + 2 + sqrt(13))).\nAnswer: -56 + 85*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes before 12:19 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:41 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does -26232246 = -26232242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 12*q + 7*q**2 - 3 + 17*q. Suppose 87*j = 86*j + 2. Let t(x) = -x - 11*x**j + 5 - 14*x + 6*x. Calculate 7*f(z) + 4*t(z).\nAnswer: -2*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (6 - (7 - 12) - 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(189)\/sqrt(3) + 1*(0 + sqrt(7)) + sqrt(7).\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -82 and 2\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -14804 divided by 431?\nAnswer: -14804\/431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 667236, 667234, 667232?\n\"Answer: -2*y + 667238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50.999848 + -51. Round w to five decimal places.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 516 - 5682\/11. Let l = -23\/22 - b. What is the closest to l in 4, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 + -350?\nAnswer: -360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3452510, -6905031, -10357556, -13810085, -17262618, -20715155, -24167696?\n\"Answer: -2*h**2 - 3452515*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/48 and -89\/60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 6*l**3 + l**2 + 4*l - 4. Let w be j(1). Find the first derivative of 7 - w*t + t - 3*t**2 + 2*t - 2*t wrt t.\nAnswer: -6*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 4*n**2 + 52*n + 5. Give z(10).\nAnswer: 925","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-182)\/8 + (-51)\/(-68). Let k = i - -55. Calculate the smallest common multiple of k and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 304 and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -108, 0, -2, -4, 1, 4 in descending order.\nAnswer: 4, 1, 0, -2, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a gram in milligrams?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 + 57. Let r(g) = 3*g**2 - 3*g - 2. Let a(c) = -7*c**2 + 6*c + 3. Let u(y) = w*a(y) - 5*r(y). Let i(s) = 2*s + 3. What is -4*i(m) + 3*u(m)?\nAnswer: -3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*i = 20*i - 141*i - 285696. Round i to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-50)\/(-6) - 0 - (-8)\/12. Let s(j) = -4*j - 3. Let t be s(-12). Let i = t - o. Calculate the highest common factor of 360 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 32*m**4 - 5*m**3 + 5*m**2 - 51*m + 4. Let a(w) = -w**4 - w**3 + w**2 + w + 1. Let s(i) = 4*a(i) - t(i). Find the third derivative of s(k) wrt k.\nAnswer: -864*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -31. Let o = 38\/3 - 187\/15. What is the third smallest value in -3, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1467 and 9729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 208.03? (a) 0.1 (b) 0.3 (c) 15 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 11 - 37 = 0. Calculate the least common multiple of 24 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 198 (c) 0.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/30)\/(1\/(20\/24))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w**2 + 680*w + 5288. What is x(-8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhc when three letters picked without replacement from hggcghg?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 13. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 4:24 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 53315 - 53339. Let x = 13 - 20. Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17137.72um?\nAnswer: 0.01713772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 551612221?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 + 4*k**2 - 7*k + 6. Let t(f) = 2*f**3 - 9*f**2 + 13*f - 12. Let s(l) = -11*p(l) - 6*t(l). Calculate s(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 391 and 63871.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 183 + -154. What is the highest common divisor of i and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -25*b**3 + 2*b**3 - 5*b**3 - 1 + b**2. Let s be (-8*21\/112)\/((-6)\/(-4)). What is v(s)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6665 and 0.5?\nAnswer: -3332.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 264018 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 2 - 7)*(-363*f + 316 - 316).\nAnswer: -726*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 11*t**2 - 2*t - 20. Let g be o(-11). Let y be (2\/(-4))\/((-2)\/8). Find the second derivative of -p**2 + 2*p**2 + y*p + 2*p**g wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g. Suppose -3*l = -4*l + 42. Suppose -5*o = 4*x - 60, 0 = -0*x + 3*x + 3*o - l. Let a(r) = -2*r**2 + x - 10. Determine p(a(s)).\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence znz when three letters picked without replacement from {n: 3, z: 11}.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100111001111000010 + -11?\nAnswer: -100100111001111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 324*r - 4124*r - 4735*r + 447*r as y*r + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081842896 to the power of 1\/3, to the nearest integer?\nAnswer: 1027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -5 - 6 - 32\/(-4). Sort -2, s, 1, 6.\nAnswer: s, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 2*q + 24 = q, 4*n - 4*q = 0. Differentiate -3*r - 1 - 3*r + 0*r + n*r wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 351.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48934 and 2322.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10671760 smaller than 10671760?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -7*u**4 - 6*u**3 - 11*u**2 + 6*u + 6. Let s(m) = m**4 + m**3 + m**2 - m - 1. Let c(d) = -q(d) - 6*s(d). Find the third derivative of c(x) wrt x.\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**3 - 8*m**2 + 3*m + 1. Give a(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4181, 5823, 10283, 18971, 33297, 54671, 84503, 124203?\nAnswer: 175181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 9:58 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 1, -2\/23, -30?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -23 + 2 + (-1 - -6).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n + 28. Let l be p(-10). Let l*v**3 - 13*v**2 - 1 + 93*v - v**3 + 4 - 109*v - v**3 = 0. Calculate v.\nAnswer: -1, 1\/6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/5))**(1\/2)*(z\/z**(-15))**(-3\/7))**17 assuming z is positive.\nAnswer: z**(-3961\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.11 - 100.11. Let f = t - -97.99941. Round f to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + (-8 - -2) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.14644738 to three dps.\nAnswer: 1.146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 561 (b) -2\/15 (c) -2\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1835*i + 1021*i - 3621*i.\nAnswer: -765*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/9*4\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 46 = 1. Let h be 2\/(-4)*30\/(-25)*p. Solve 0*y = -4*y - 3*k + 21, -2*y = -3*k + h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*b*g*l**3 + 704*b*g*l**2 + 19*b*l - 3035*l**3 wrt g?\nAnswer: 3*b*l**3 + 704*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f**4*h**2 + 2*f**4 - 14*f**3 + 36*h**2 wrt f.\nAnswer: 4*f**3*h**2 + 8*f**3 - 42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(2*h**2 + 3 - 3) + (-2 + 2 + 4*h)*(-37*h - 106*h + 0*h).\nAnswer: -574*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 141*a + 1575. Calculate the lowest common multiple of j(-131) and 205.\nAnswer: 10865","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 12 = n, 5*n + 684*q - 3 = 680*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 - 0.8. Let l = 5.4 + u. Let r(n) = 7*n - 1. Let m be r(1). What is the second smallest value in 0, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 12 = -1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 11351?\nAnswer: 1135.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -338 - -329. Let u(r) = r**3 + 16*r**2 + 52*r - 20. Is u(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475 = -7*h + 162. Calculate the highest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 293922 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25024 (base 11) in base 6?\nAnswer: -434255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1319*l + 915*l + 29458 = 784*l + 1078*l for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 6)\/(3\/(-5)). Suppose -3*l = -2*l + b*t + 13, 5*l - 3*t - 75 = 0. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7728.49 micrometers?\nAnswer: 7.72849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 14*s - 1. Let a(j) = -2*j**2 - 1642*j - 13. Give h(a(o)).\nAnswer: -28*o**2 - 22988*o - 183","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -89515 * -58\nAnswer: 5191870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csccscccsccscssccc. What is prob of sequence ss?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1480046?\nAnswer: 2, 740023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -11*y**3 + 213*y**2 + 9. Let q(g) = -5*g**3 + 106*g**2 + 4. What is -4*i(k) + 9*q(k)?\nAnswer: -k**3 + 102*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 726493840 to the power of 1\/2, to the nearest integer?\nAnswer: 26954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 15. Let g = 21 - 15. Let z(o) = o + 29. Let y(d) = g*z(d) - 11*c(d). What is the derivative of y(a) wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 112061578 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2980)\/30*(-9)\/4*2.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1086078 is divided by 217213.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbppbpbfbbpppbpbfp. What is prob of picking 1 f and 2 b?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -32?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4 + j**2.\nAnswer: -j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 16, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 7*x + 160. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*r + 29 + 15 = 0, -m = 3*r + 24. Let p be (m\/(-9))\/(6\/9). Differentiate -p + 3*z**4 + 2*z**4 - 7*z**4 wrt z.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 352 by -16.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124937062 by -2.\nAnswer: -62468531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3838, 3779, 3718, 3655?\nAnswer: 3590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, v: 5, w: 1, s: 3, j: 5}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21780?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**4\/24 + s**3\/6 + s**2. What is the remainder when h(3) is divided by 8\/6 - 54\/(-81)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271924 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42033013 + -2?\nAnswer: 42033011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + 80*c**2 + 300*c + 304. Let f(y) = 3*y**3 + 81*y**2 + 300*y + 300. Let o(p) = 4*f(p) - 3*x(p). Factor o(g).\nAnswer: 3*(g + 2)**2*(g + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 360 - 372. Are 4 and g equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9970114619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -13*c + 33. Suppose 2*u + 3*u + o - 17 = 0, -7 = u - c*o. Suppose -5*f + 51 = -29. Solve -u*k + 2*t + 7 = 0, 4*k + 2*t - f = -2*t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-134725)\/(-225) + 4\/18?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1721 divided by -1?\nAnswer: 1721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*w = -5 - 17, -14 = -a - 3*w. Suppose 2*t - 2314 = -a*y + 6*t, 3*y - t - 3491 = 0. Is y + (0 - 4 - 0)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m. Let p(r) = -12*r - 2. Determine 10*d(s) + p(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-90)*-5)\/(18\/189)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177950 - 3*i - 177950.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 48876, 97717, 146560, 195405, 244252, 293101?\n\"Answer: h**2 + 48838*h + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (4 - (-36 + 22))?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 4 = k. Let u be 8 - (k - (-4 + 3)). Suppose 2*d - u*j = d + 18, 0 = 5*d + 3*j - 118. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 210\/(-231)*2695\/35\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/38 and -131\/1930092.\nAnswer: 36671748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 168*g - 24. Let h be i(5). Suppose -3*x - h = -5385. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**3 - 6*z**2 - 3*z + 3. Is k(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 120 divide 39963?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -432 - 18.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*s = 6*s - 8, 3*d - 7 = -s. Let t = 13.16 + -0.16. Let j = -13.5 + t. What is the nearest to -0.08 in d, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 6 + 21 = 3*a, -4*a = -5*b - 20. Suppose -3*c = -2*v + 56, v + 2*c - 30 = 4*c. Suppose -v*h + 8 = -30*h. What is the closest to -1\/14 in 5, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l - 14. Let z be t(-12). Let o = 5 + z. Let a = o + 128. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-36)\/(-10) + (-26)\/(-65). Suppose 0 = -i*w - a + 19, -w - 4*w = -5*a - 5. Solve -4*v + 12 = -w*t, 6*v = -3*t + 2*v - 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 5:58 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.5. Let c = 7.5 + -8. Let s = 1 + c. Sort g, -0.4, s.\nAnswer: -0.4, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - sqrt(132)*-1)*5)\/(sqrt(48) + sqrt(384)\/sqrt(8)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1822889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-4) + (0 - 2). Let q(m) = m**3 + 2*m**2 - 2*m - 2. Let t be q(-2). Suppose -i*r = -t*y, -3*r - 1 - 8 = 0. Sort -3, 4, y in descending order.\nAnswer: 4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31333004, -31333002, -31333000, -31332998, -31332996, -31332994?\n\"Answer: 2*u - 31333006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -211 times 1?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6946137211 + 6946137211 + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -119, -581, -1761, -3995, -7619, -12969?\n\"Answer: -56*m**3 - 23*m**2 - m - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 12, k: 2, s: 3}. Give prob of picking 1 s and 1 k.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1030772892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*v + 3 = 4*t, -6 = -3*t - 3*v. Suppose -t*g = 4*b - 57, 0*b - 19 = -3*b + g. Let p = 0 - -3. What is the smallest common multiple of b and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -161, -332, -507, -686, -869, -1056?\n\"Answer: -2*w**2 - 165*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*w**3 - 2*w**2 - 325984454*w - 319656842.\nAnswer: 6*w**2 - 4*w - 325984454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((350\/30)\/5)\/((-3)\/27)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**5 + 216295*p**4 - 2338851875*p**3 - 7018502415*p**2.\nAnswer: -5*p**2*(p - 21631)**2*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 3)*(-5*p + 0*p + 4*p) + 1 - 56*p + 73*p - 4 to x*p + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 4*b**2 - 2*b - 4. Let z be l(3). Let q(n) = 50*n**2 + 3*n + 1. Is q(z) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135852275 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -79, -114, -79, 74, 393, 926, 1721?\n\"Answer: 8*j**3 - 37*j**2 - 2*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**3 + 2*h**2 - 2*h - 3. Let r(i) = -i**2 + i + 1. Let j(v) = c(v) + 3*r(v). Suppose -2*a + 7*z + 2 = 2*z, 5*a - 5 = 4*z. What is j(a)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from owoooooowoooooooooo. Give prob of sequence woow.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 168 = -y - 177, 0 = -4*y - 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*2\/14)\/((-9)\/(-7)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d**5 - 15416*d**4 - 2120388*d**3 - 1981744*d**2 + 17025968*d + 25261824 = 0 for d.\nAnswer: -592, -889\/5, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -8, 319, 6, -1 in increasing order.\nAnswer: -8, -1, 0, 5, 6, 319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12c2 + 2396?\nAnswer: 10b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42003 by -39.\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 10*j + 10. What is q(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -3 - (-4 + 4 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -232 + 233. Which is the closest to h? (a) -2\/3 (b) 0.04 (c) 2\/5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7001000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -136\/23, 4, -1.7 in decreasing order.\nAnswer: 4, -1.7, -136\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from {i: 7, t: 1, h: 7, q: 2}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -157747, -158917, -160087, -161257, -162427?\nAnswer: -163597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101011010001101000 (base 2) to base 6.\nAnswer: -51520440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is dd63a (base 14) in base 16?\nAnswer: 82ef4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*p**3 + 265004*p**2 - 263696*p**2 + 3 + p**3 to b*p + n*p**2 + f*p**3 + z and give n.\nAnswer: 1308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 82792151?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000481 to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 133a20 (base 12) to base 7\nAnswer: 2462130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8539, -16924, -25317, -33718, -42127, -50544?\n\"Answer: -4*x**2 - 8373*x - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0.11 (c) -84 (d) 49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -55315 (base 6) in base 14?\nAnswer: -2b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 2*i**2 + 4*i + 8. Let p be y(-3). Let f = -26 - -9. Let v = -33\/2 - f. Sort p, v, 4 in decreasing order.\nAnswer: p, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 4531.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/((n*n\/n**(2\/19))\/n))\/n**(-3\/7))\/((n*n\/(n*(n\/(n\/(n*n**(-5\/8))))\/n))\/n**(-12)))**22 assuming n is positive.\nAnswer: n**(-153219\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -k**8\/420 + k**4\/12 + 2*k**3\/3 + 4. Let y(s) be the third derivative of b(s). What is the derivative of y(n) wrt n?\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*i**2 + i - 11*i**2 + 2 + 5*i**2 + 2*i**4 to the form x*i**3 + a*i**2 + g*i**4 + o + m*i and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11182.1 - 8.\nAnswer: 11174.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 53.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1161 - -1264. List the prime factors of i.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 7*k**3\/6 - 3*k**2 + k - 53. Let h(b) = -8*b + 7. Let u = -680 - -673. Determine u*z(c) - 6*h(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.051919 rounded to 4 decimal places?\nAnswer: 0.0519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1205, -2403, -3591, -4763, -5913?\nAnswer: -7035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6 = -10. Let h be -3*(28\/(-6) - -3)\/w. Suppose -h*d = -5*p + 60, 44 = 3*p + 3*d - 10. Is p even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/8)*h)\/(h*h\/(h*h*h**(-2)\/h)*h) assuming h is positive.\nAnswer: h**(-21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000123339265 rounded to seven decimal places?\nAnswer: 0.0001233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 1 = -139. Is a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ttttjjjjtttjtjjtttjj?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008470298.2352 + 2?\nAnswer: 1008470300.2352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 185538 and 14375?\nAnswer: 171163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 4, 0.\nAnswer: 0, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 69970.\nAnswer: 3\/34985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 21. What is the remainder when 8 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-93)\/(-124)*8\/(-9). Which is the biggest value? (a) 9 (b) t (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/sqrt(54) + -3 - ((sqrt(700)*-2)**2 - sqrt(700) - (sqrt(448) + -2)).\nAnswer: -2805 + 55*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 5*g + 3. Let t(o) = -2*o + 24 + o**2 + 0*o**2 - 2*o**2 - 22 + 6*o. Determine -3*t(d) + 2*u(d).\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a28 (base 15) in base 14?\nAnswer: 3418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36346816321 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28781528?\nAnswer: 2, 1511, 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -265*t - 1043. Let g be k(-4). Solve -g*c + 59 = 25 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/13 (b) 0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 4 + -14 + 18.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**3 + 18*l**2 - 18*l - 21. Let s be j(-18). Let f = 371 - s. Is 45 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -103 - -112. What is the highest common factor of i and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 4216 = 4*f. Let s = f + -1594\/3. Put 1\/5, 2\/7, s in decreasing order.\nAnswer: 2\/7, 1\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 15*y = -10*y - 270, -m + 4*y + 44 = 0. Calculate the remainder when 428 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*h + 114, -2*t - 3*h - 250 = -6*t. What is the remainder when t is divided by (-2 - (-15)\/6) + (-124)\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 40 = -10. Let b = 14 - m. Solve j = b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123 is divided by (16 + -2)*18*28\/504?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of (216 - 63\/9) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 106003337*g. Let i(s) = -4*s. Give i(d(m)).\nAnswer: -424013348*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**3 + 4*g**2 + 4*g**3 + 0*g**2 - g - g**2. Give j(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j**4 + 2*j**4 + 2*j**4 + (-2*j - j + 4*j)*(-j + j + 2*j**3) - 3*j**4 + 6*j**4 - 4*j**4 as l*j + r*j**3 + t + y*j**4 + b*j**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 8*t + 7. Let x be c(-16). What is x rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.12 (b) -224\/11 (c) 0.155 (d) 1\/4 (e) 4 (f) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -11*t - 150 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-810)*-9*1*(-3)\/(-6)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - -1. Suppose -q*c + 1 = -11. Factor z**2 + 2*z + z**2 - 5*z**c.\nAnswer: -z*(3*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -7*d**2 - 5*d - 2. Let o(g) = g**2 + g + 1. Suppose -45 = 10*h - h. What is h*o(b) - p(b)?\nAnswer: 2*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let j(b) = 303 + 998 + 628 - 110*b - 14*b + 2*b**2. Let f(o) = 2*j(o) - 14*u(o). Factor f(n).\nAnswer: 4*(n - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q + 1 - 1 - 27*q. Let n(p) = -p. Calculate j(n(w)).\nAnswer: 23*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1863426?\nAnswer: 2, 3, 310571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -52486 divided by -94\nAnswer: 26243\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 152*f**2. Let s(l) = 3*l. Determine h(s(d)).\nAnswer: 1368*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 23 - 2. Let a(i) = i + 2. Let o be a(c). Let r = 19382 - 19301. Calculate the highest common factor of o and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s - 1. Let t = 48 - 54. Let n be 4\/6 + 4\/t. Suppose n = 3*y - 2*y - z, -4*y - z - 15 = 0. Determine w(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59445 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: How many milliseconds are there in thirty-four fifths of a second?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*((2 + sqrt(17) + -2 + sqrt(17))**2 + sqrt(17) - sqrt(68)*3) - ((sqrt(17) + sqrt(272) + 1 - (sqrt(1377) + 1))*-6)**2).\nAnswer: -9719 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.9 + 1. Let i be (-1016)\/20 + (-1)\/5. Let n be ((-2)\/6)\/(17\/i). Is n less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -3 - 9. Suppose h*t = 30 + 18. Solve -2*w = 2*w - t for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -c**4\/6 + 3*c**3\/2 - 4*c. What is the second derivative of n(t) wrt t?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.069 and -9000.8?\nAnswer: 9000.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1342*b + 14067 = -1711*b + 1391*b - 3027*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w - 2. Let f(j) = 5*j + 9. Give 6*f(h) + 26*o(h).\nAnswer: 4*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/5 - 531080*d**2 + 31864584*d\/5 - 95593536\/5 = 0.\nAnswer: 6, 1327688","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 31*o. Let l(k) = 4 - 2 - 2 - k. Calculate l(u(z)).\nAnswer: -31*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 4*d + 16. Suppose -1 = -d*n + 19. Which is the closest to -0.1? (a) 4 (b) n (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -p - 2*p - 9, 0 = 4*q + 4*p + 8. Let s be (5 + 106 - 10) + -3 + -1. Suppose 0 = q*x - t - s, 5*x - 2*t + 7*t = 195. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3390497, 3390610, 3390799, 3391064, 3391405, 3391822, 3392315?\nAnswer: 3392884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/18)\/(-10))\/6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 2*h - 6 = 10*k, -h - 9 = 2*k. Let c be ((-2)\/2)\/((-1)\/(-6)). Put k, c, 28 in descending order.\nAnswer: 28, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434086 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737*f**4 + 511*f**3 + f**2 - 1046*f + 56 wrt f.\nAnswer: -17688*f + 3066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 29?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/20393821 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 4) + (-3)\/(-1). Suppose 0 = -y + h + 2, y - 8 = 2*y + h. Let x = y - -9. What is the highest common factor of x and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -591 - a?\nAnswer: -59b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54 and 5157.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 635880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + 4*x - 87, 2*x = -2*x + 12. Let q = -17 + y. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29 and -12763.6.\nAnswer: -12792.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 349087?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 16. Let i(u) = 11*u**2 + u - 1. What is the tens digit of i(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 13. Let v be (10\/l)\/((-1)\/(-4)). What is the second smallest value in v, -0.3, -7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/133 - 4460\/(-14))*(10 - 7)\/(-18)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 11148 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qttqttt. Give prob of picking 3 t and 1 q.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + -3 + 24 + -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 216 and 272?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10 + 1435\/(-164) + 10\/(2 + (-6)\/(-9)). Let j(w) = 2*w**2 - 8*w + 2. Let k be j(6). Solve r = 7*d + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a factor of 549281509?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-1\/12)\/(n\/(n*n\/(n*n**7))*n)*((n**(-1)\/n)\/n*n)**(1\/46) assuming n is positive.\nAnswer: n**(-2243\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 119082308 to the power of 1\/3, to the nearest integer?\nAnswer: 492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/((sqrt(9)\/sqrt(3) - sqrt(3))*1 - sqrt(3)) - (sqrt(80) + 2*(sqrt(80) + -2) + sqrt(80)).\nAnswer: -17*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 - 7*h**2 + h**2.\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 1622*b - 632. Let t be i(1). Calculate the highest common factor of 144 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.43 (b) 8 (c) -12 (d) 215\/33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -29)*4\/6. Let v(q) = -6*q**2. Let o be v(-1). Let m = d + o. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163013013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*2*5)\/(sqrt(640) + sqrt(640)*2 + sqrt(640)).\nAnswer: 5*sqrt(19)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 197, 6, 4, -3 in ascending order.\nAnswer: -3, -1, 4, 6, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -3*q - 9. Let z be (-2)\/q*(-2 + 4\/8). Let a(t) = 3*t**2 + 1. Determine a(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (8 + 9 + 0) - -8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -217*q**3 - 31*q + 2275. Give h(0).\nAnswer: 2275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 195646.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 398382 and 40631?\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 1)*12\/138. Which is the closest to 0.03? (a) g (b) 2\/3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 16*q**2 + 20*q - 41. Calculate d(17).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -65*o. Let a(w) = w**2 + 6*w - 6. Let u(i) = -2*i**2 - 13*i + 13. Let k(x) = 13*a(x) + 6*u(x). What is k(f(t))?\nAnswer: 4225*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 102309171*d + 7580296?\nAnswer: 102309171","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 172633 a multiple of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -8537.6003 to the nearest 10.\nAnswer: -8540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -3 - (0 + (5 - -1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - (-253)\/(-33))\/((-6)\/9). Solve -29 = 4*n + 3*r, -k = -n + 5*r + 3 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**2 + 23*i + 188. Let p be q(17). Is p greater than or equal to -1\/1040?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - k - 1. Let f(v) = -51*v**2 + 35*v + 85. Let x(g) = -10*c(g) - f(g). Give x(27).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 72374 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 15*y - 10. What is b(-10)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/(-2)*(-184)\/(-8694)*-9\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4839 divide 177965191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of 401*b**5\/10 + 7*b**2\/2 - 332*b. What is the derivative of a(x) wrt x?\nAnswer: 2406*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -9. Suppose -4*l + 6*l = j*k - 528, 4*l = 5*k - 1056. Find the common denominator of 10\/3 and (-3)\/(-6) + 788\/l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42505788 and 61692.\nAnswer: 42505788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 869596?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (7 - (1 + 25)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.189973566 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(112)) + (sqrt(56) + sqrt(56) + (sqrt(448) - sqrt(448)*1)\/sqrt(8))\/sqrt(8) - (2 + (sqrt(252) - (-3*(1 + sqrt(252)) + sqrt(252))))*-5)**2.\nAnswer: 6264*sqrt(7) + 82489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11.4, -4\/5343, 9\/16 in descending order.\nAnswer: 9\/16, -4\/5343, -11.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 7550, -4, 3, 0 in decreasing order.\nAnswer: 7550, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57 - (-127 - -118 - (-19 + -1)).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36204?\nAnswer: 2, 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 20 = v + 5*d, 5*d = 0. Suppose v - 13 = y. Let m be (-3)\/(-12) - (-46)\/(-56). Sort 1, m, y in increasing order.\nAnswer: y, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 26845503?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s + 3. Let n = 15887\/42328 + 39\/407. Let x = 3\/104 + n. Which is the closest to -1? (a) 1 (b) x (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3454192825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2395121 and 896041?\nAnswer: 629916823","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 732196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q + 14929 - 14929. Let x(z) be the second derivative of z**3\/6 - 6*z. Calculate x(w(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from {e: 1, g: 1, p: 4, v: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 134\/3*x**2 + 2\/3*x**3 - 286*x + 438.\nAnswer: 2*(x - 3)**2*(x + 73)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*h = -22, -5*n + 3777 = 3*h + 3767 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 3) + (9 - 31)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 30*s - 17.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**6\/900 - x**5\/75 - x**4\/5 + 4*x**3\/3 + 33*x**2. Let l(j) be the first derivative of p(j). Find v such that l(v) = 0.\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17447449 to the power of 1\/2, to the nearest integer?\nAnswer: 4177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3649.3884 days in weeks?\nAnswer: 521.3412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 217?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from quqqwwwqqgrwwww. What is prob of sequence qru?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**2\/5 - 179352*l\/5 + 4020892488\/5 = 0.\nAnswer: 44838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3205035 and 10935.\nAnswer: 259607835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.66506ml to litres.\nAnswer: 0.00066506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**3 - t**2 - 2*t - 2. Let w be c(-1). Solve -2*q + 3*q + w = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 14481*o**2 - 1129514*o - 312 = 0?\nAnswer: -4\/14481, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**3\/7 + 3048*m**2\/7 - 645248*m\/7 - 2629632\/7 = 0. What is m?\nAnswer: -1712, -4, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/30)\/(9\/15).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.5, -1, -0.42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, f: 2}. What is prob of picking 1 f and 3 a?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11636587, 23273166, 34909747, 46546330, 58182915, 69819502?\nAnswer: 81456091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4376039349?\nAnswer: 3, 11, 593, 223621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**2 - l - 1. Let n be g(-1). Solve -2*z + 4 + 2 = 0, 35 = -n*s + 5*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 7 + 4 + (8 - 0) + -9?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50728403181 - 50728007309.00073. Let d = 395868 - s. Let m = -4 - d. Round m to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 13*a - 12. Let b be o(-11). Is 7\/35 + 968\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 276 divided by -228043.\nAnswer: -276\/228043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -42.8653 - 249218.1347. Let u = 249325.0062 + a. Let y = 64 - u. Round y to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18706236 and 876?\nAnswer: 1365555228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*r**2 - 44*r**2 + 92*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:56 PM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1759, 7853, 18009, 32227, 50507, 72849?\nAnswer: 99253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -4*p + 3. Let o be k(-34). Let c = -113 + o. Solve c = -5*n + 16 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 0 + 0*c**4 - 3\/2*c**2 - 3*c + 0*c**3 + 1\/20*c**5. Differentiate f(o) wrt o.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*n - 5*b - 42 = 0, -4*n + 96 = -2*b. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6*s + 3. Let m(y) be the second derivative of 5*y**4\/12 + 3*y - 5. Give m(r(t)).\nAnswer: 180*t**2 + 180*t + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -3*o + 26, -o - 6 = 5*f + 12. Let z(d) = -d**3 - 4*d**2 - 2*d - 5. Let k be z(f). Let g(h) = -2*h. Let m(c) = -3*c. Determine k*m(w) - 5*g(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192.06 - -189. Let j = n + 0.06. Let o be (-7)\/15 - (-2)\/3. Which is the second biggest value? (a) o (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2. Let u be (12\/(-10))\/(p\/5). Suppose i = 2*i - u. What is the remainder when 15 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 39 = 4*z, 0 = 5*x - 4*z - 1060 + 1093 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -7*f**2\/2 - 4*f - 4. Calculate the remainder when 17 is divided by u(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 p when two letters picked without replacement from {c: 4, p: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 894, 1875, 2948, 4113, 5370, 6719?\nAnswer: 8160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 49585 - 1536637 = -108*a. What is a rounded to the nearest one thousand?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*l + m, l - 2834 = -4*m - 2871 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 19286*l - 1137869. Give n(59).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14 is divided by (-1)\/((-18)\/8)*-3*-3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8231589 is divided by 823144?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 446 + 2*s**2 - 18*s - 446.\nAnswer: 2*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3559?\nAnswer: 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 3*w**5\/20 - w**3\/6 - 12*w. What is the second derivative of f(q) wrt q?\nAnswer: 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -652*i + 338*i + 315*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490.6791 days to hours.\nAnswer: 11776.2984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7669, 13485, 19299, 25111?\n\"Answer: -h**2 + 5819*h + 1851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 206263\/4 - 51566. Let o(t) = -t**2 + 8*t - 8. Let r be o(8). Which is the second smallest value? (a) y (b) 0 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 9:24 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 6:57 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/28)\/(80\/(-252) + (-18)\/(-81)). Sort 1, -2, 22, j in ascending order.\nAnswer: -2, 1, j, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 + 39*d - 7 + (1 - 4 + 2)*(2 - 2*d - 2) + 0*d + 0*d - d.\nAnswer: 40*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4\/17, 1967\/5, 2, 2\/15, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*j**3 + 34*j**3 + 3*j**2 - 3*j**2.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 113657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from enxeoocedeexeeeeee. What is prob of picking 1 x and 1 o?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + 19)*(-15)\/15. Let g be (264\/(-56) + 2 + 1)*z. Suppose g = 5*q + q. Calculate the remainder when 11 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 742 - 766 = 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 2 = 2*o, o - 11 = 5*o + y. Let p = -3 - o. What is the units digit of -1 + 2 + p + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 174348.7cm in micrometers?\nAnswer: 1743487000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:13 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -6*z**3 + 1092*z**2 + 23*z - 4248. What is h(182)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -43*u**6\/20 + 2*u**4\/3 + 11*u**3\/6 - 172*u**2. What is the second derivative of g(n) wrt n?\nAnswer: -1548*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2. Let z(g) = 15*g - 4. What is z(v(j))?\nAnswer: 30*j**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**2 - 1. Let s be k(-4). Suppose 0 = -2*l + 14 + 20. Suppose b = s + l. What is the greatest common factor of 16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/3 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1144205284 rounded to 3 dps?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, l: 8, z: 1}. Give prob of picking 2 n and 1 l.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = 3*p - 49. Let k(z) = -7*z**2 + 6*z + 2. Let m(s) = -6*s**2 + 5*s + 2. What is p*m(f) + 4*k(f)?\nAnswer: 2*f**2 - f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -308833.5 times 0.054\nAnswer: -16677.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = 5*k + 4485. Let l(a) = 2*a - k + 897. Let n(z) = 3*z - 12. Let d(x) = 3*x - 12. Let r(u) = -5*d(u) + 6*n(u). What is l(r(y))?\nAnswer: 6*y - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = o + c, -5*o - 23 = -74*c + 72*c for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1857*n + 7 + 6 - 17 + 1138*n to h + i*n and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*s = -6, 0 = 3*d - 3*s + 4*s - 6. Suppose -3*q = d*q - 65. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3943.282 nanograms to milligrams.\nAnswer: 0.003943282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26143136 (base 7) to base 3\nAnswer: 11110221102112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 7*u + 9. Let h be c(7). Let f = -58 - h. Let s be (-30)\/(-135) - 104\/f. Solve -2*n - 4 = -q, 4*q + s = -4*n - 2 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, w: 4, v: 2}. What is prob of sequence zvv?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1881.821 grams to micrograms.\nAnswer: 1881821000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2029671 and 0.2509.\nAnswer: 2029671.2509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -6*i**3 - 11*i**2 - 4*i - 3. Suppose -3*g - 1 = -2*f + 2*g, 5*g + 9 = -2*f. Let r be w(f). Solve r = -4*l + 13 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 4. Let q(w) = -w**3 + 9*w**2 - w + 6. Let d be q(9). Let u be (-58)\/(-3) - ((-7)\/d - 3). Solve -u = -0*t - i*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-25) - 6\/(-5))\/(-1). Let u = 3 + -3. Suppose -m + 1 = -u*m. Which is the nearest to l? (a) m (b) 1\/5 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a6 - -7962b3?\nAnswer: 79620b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 89 and 712.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + (-11 + (-273)\/(-28))*-4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 161194498, 322388998, 483583498, 644777998, 805972498, 967166998?\nAnswer: 1128361498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**4 - 12*u**3 + 4*u**2 + 12*u.\nAnswer: -4*u*(u - 1)*(u + 1)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 + 3.04. Let a = 34 - 33. Let p = 0 - -0.1. What is the closest to a in -1\/5, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = -0. Suppose 0 = -a - l*a + 6. Let h(f) = 0*f**2 + f - 2*f**a + 0*f**2 - 1 + f**2. Determine h(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 3*s - 40. Let l be r(16). Let w(y) = -2*y**2 - 2*y**2 + 1 + l*y - 2*y - 11*y. Let x(t) = 2*t**2 + 2*t - 1. What is -2*w(d) - 5*x(d)?\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023705 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -6434, -2, -1, 3, 2, -28 in decreasing order.\nAnswer: 3, 2, -1, -2, -28, -6434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 638 + 40d6?\nAnswer: 4730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -74, -6, 1, 2 in ascending order.\nAnswer: -74, -6, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q + 3*q**3 + 15*q - 5*q.\nAnswer: 3*q**3 - 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 5:49 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - -1. What is the second smallest value in -2\/7, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -62028 - 3?\nAnswer: -62031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -9 + 14 + 18*s + 8. Suppose 2*j - 14 = -4*l, 0 = -9*j + 7*j - 6. What is the tens digit of a(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -274229627 + -1325.\nAnswer: -274230952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i. Let r(m) = -58*m**2 + 10. What is s(r(w))?\nAnswer: 58*w**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 9571654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*y - 6 - 1, 2*y = 5*z - 11. What is the remainder when 14 is divided by z\/(6\/(-5))*-2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + 612?\nAnswer: 5e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) 6\/19 (b) 2\/19 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 - 109. Suppose -10*g + 4*g = t*g. Sort g, -0.01, -2, 0.1 in decreasing order.\nAnswer: 0.1, g, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -23 (c) 2\/3 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + 1 - (22 - 28 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5103 and 13559616.\nAnswer: 366109632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1204 and 5147788.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -1022, -14 in increasing order.\nAnswer: -1022, -14, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 10 = -5*q, -14*q + 5 = -12*q - 3*c for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 927099 a multiple of 350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 278 + -284. Let g be (-90)\/(-225) + p\/(-10) + 1. Factor 0*z + 1\/4*z**g + 0.\nAnswer: z**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (26 - 5)*3. What is the highest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1757488 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116580.\nAnswer: 2, 3, 5, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 802?\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 2. Calculate the least common multiple of (12 - 2) + (2 - 3) and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 813734500?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 970, 1945, 2924, 3907, 4894, 5885?\nAnswer: 6880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03904 and -229017?\nAnswer: 8940.82368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - p)*(p**2 + 0*p**2 - 3*p**2) - 9*p**2 + p - 20*p + 2*p**3 + 7 + 12*p in the form i + f*p + r*p**2 + x*p**3 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22394*j**3 - 169*j**2 - 2*j - 125130154.\nAnswer: 67182*j**2 - 338*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -31*f**5\/60 - 11*f**3\/3 + 13*f**2\/2 + 13. Let l(n) be the second derivative of d(n). Differentiate l(y) with respect to y.\nAnswer: -62*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*17\/(306\/(-45))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7)\/6 - 2\/(-12). Is 10*2\/4 - s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 279220128.\nAnswer: 2, 3, 11, 79, 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -29, -0.4, -3\/2, -83\/5 in increasing order.\nAnswer: -29, -83\/5, -3\/2, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/8417 or -1?\nAnswer: -12\/8417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 11 = z. Find the second derivative of 14*d**2 - z*d + 19*d + 5*d**2 wrt d.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6759 and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*x + 22*x - x.\nAnswer: 72*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.5 (b) -30.9 (c) 5 (d) -5\/4 (e) -17 (f) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635*f = -1127*f - 10332 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -472*g**2 + 237*g**2 - 33656*g**3 - 10608*g**3 + 235*g**2.\nAnswer: -44264*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -69. What is the second derivative of p*z**4 - 21*z - 10*z + 0*z - 15*z**4 wrt z?\nAnswer: 348*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85017304 to the power of 1\/3, to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1617, -3239, -4863, -6489, -8117?\nAnswer: -9747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*sqrt(900))\/(-1*(sqrt(75) - (sqrt(75) + -1*sqrt(75)))).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*g + 4750, -5*n + 1165 = 228*g - 227*g. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2347667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 3*l - 0*l, 10*l - 36 = 19*l for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1519*t - 1528*t + 37*t**2 + 3047*t.\nAnswer: 37*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r - 2*r)*(3 + 0 - 5)*(-14*r - 19*r - r).\nAnswer: -204*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 - l**2 + 2 + 2*l**3 - 2*l**3 as q*l + j*l**4 + h*l**2 + x*l**3 + c and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 7 = -a, 0 = -4*q + 5*q + 2*a - 8. Suppose -3*n - q*n = x - 15050001, n = -4*x + 3010004. What is n rounded to the nearest 100000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**2 - 3*x + 9. Let t(a) = -2*a**2 + 2*a - 5. Suppose 6*v + 60 = 10*v - 16*v. What is v*t(b) - 3*m(b)?\nAnswer: -5*b**2 - b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3, -11, -14, -16.\nAnswer: -16, -14, -11, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3829, -3827, -3827, -3829?\n\"Answer: -z**2 + 5*z - 3833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 8) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 2\/3 (c) -122\/629\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 - 13*b**2 + 11*b + 7. Let q be m(-15). Suppose 50 = -2*y + q. Suppose 4*r = 295 + y. Round r to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 1. Let l(y) = -3*y**2 - 3*y + 4. What is -l(w) + 4*v(w)?\nAnswer: -w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 4) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -3*c - 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(110\/(-15))*8\/(-18).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + 41. Calculate the greatest common factor of m and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.89 + -0.11. Let g = t - -5. Let i be (-12)\/(-2) + (24 - 26). Which is the closest to -1? (a) 2\/9 (b) g (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**4\/5 - 24169*k**3\/5 + 120911*k**2\/5 - 72579*k\/5 - 217656\/5 = 0.\nAnswer: -24184\/3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50929 + 744193 = -12*w + 113*w. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 42 or 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1705 + 266*a + 855 + 4*a**2 + 851.\nAnswer: 4*a**2 + 266*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 994*b**3 - 54*b**2 + 55*b**2 + 2006*b**3.\nAnswer: 3000*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.509404 rounded to three dps?\nAnswer: 0.509","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 + -39. Let n = 5 - s. Suppose 0 = -4*x + n + 42. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22.20227 + 22.2. Round y to four decimal places.\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*m = -33*m + 6715. Calculate the remainder when m is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.9 and -826.4?\nAnswer: -2396.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.003 - 0.457. Let w = 0.06 + u. Sort 3, -5, w.\nAnswer: -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 2*l - 5*l + (-3*l + 3*l + l)*(-6 + 9 - 9) + (1 - 3 + 1)*(-2*l + 4*l + 0*l) in the form k*l + q and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 PM and 5:19 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 take away -0.0465?\nAnswer: 4.0465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in -1, -2\/15, 4, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x**2 - 252*x - 2655. Calculate z(-12).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 28*z = 13. Put z, 0, 35, 3 in increasing order.\nAnswer: 0, z, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h. Let l(o) = 510*o + 3. Calculate t(l(v)).\nAnswer: -510*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzm when three letters picked without replacement from {v: 1, z: 3, l: 4, m: 4, u: 4}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 11:00 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 18610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -3\/814 (c) 4 (d) -1\/9 (e) -4 (f) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1151*j = -1148*j + 2291*j + 256 for j.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/(-15)*(2 + 1). Suppose 3*g - 4*y + 12 = 0, -p*y + 12 = g - 5*g. Let b(s) = -s**3 + s**2 - s - 6. Calculate b(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a micrometer in nanometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188672 by -1.\nAnswer: 188672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -2*i**3 - 440. Let c(w) = -8*w**2. What is d(c(l))?\nAnswer: -384*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10. Suppose -3*m = -5*q + i*q + 42, 2*m = 0. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44*s + s**4 - 44*s - 7 wrt s?\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 3:40 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*i + 11. Suppose -2*c - 45 = -j - 82, c = -5*j + 2. Calculate the remainder when c is divided by i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 56233278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.9, -0.5, -254, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 18. Let k be t(-11). Suppose -22 + k = -5*p. What is the units digit of 1\/(-2)*(-119 + p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 26 = -3*t - 10, 2*s - t - 32 = 0. Let a = s - 7. Let u = 11 - a. Which is smaller: u or 5\/2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 7:06 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k - 5*k + 5*k)*(0*k**3 - 4*k**3 + 2*k**3 + 5*k**3 + 0*k + 0*k + (2*k**2 - 2*k**2 - k**2)*(-k - 2 + 2) - 3*k**3 + 5*k**3 + 0*k**3).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(81))\/(3*sqrt(3)*1).\nAnswer: sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*u + 3*u. Suppose a = 5*j - 1 - 12, -u*a = -2*j - 2. Solve f - o + 7 = 0, a*o + 8 = 3*f + 27 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 131*o**3 + 2*o**2 + 7*o + 5. What is f(-1)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -38 (b) 4 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1983, 1951, 1921, 1893?\n\"Answer: u**2 - 35*u + 2017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = h - 20, 2*w + 4*h = 6948. Let t = w - 62731\/18. Let a = 8\/9 + t. What is the common denominator of -95\/8 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2. Let x(u) = 232*u**2. What is l(x(d))?\nAnswer: -107648*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-50)\/(-420)*24\/10?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 + d + 2. Let s = 0 + 3. Let x = 1 - s. Let n be g(x). Let r(q) = q**2 - 5*q + 4. What is r(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + 5*b**2 - 5*b + 6. Let g be s(-5). Let z be 2 - g\/45 - (-4)\/30. Suppose 0 = -2*m - 3*a - 1 + z, -m + 12 = -3*a. Solve -m = -5*v + 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**4\/8 + b**2. Let c(u) = -7*u**2 + 5*u. Let p(a) = 8*a**2 - 6*a. Let o(f) = 6*c(f) + 5*p(f). Calculate t(o(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x + 1029 = 5*r, -408 = -2*r - 2*x. Suppose 200*q - r*q + 550 = 0. List the prime factors of q.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2151804?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**5\/3 + 2218*h**4\/3 - 504754*h**3\/3 - 15224170*h**2\/3 - 4905732*h = 0. What is h?\nAnswer: -26, -1, 0, 369, 767","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 + 4*l + 2. Let t be f(0). Suppose a = -11*z + 16*z + 2, -t*z = 8. Which is bigger: a or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (3 - 6 - (-5 + -5 + 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 3 + 4 - -10 - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + 13*p**2 + 9*p - 28. Let t be g(-12). Suppose -25*r + 578 = -t*r. What is the remainder when 132 is divided by r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 202 - 200. Suppose 4*s - l = -2*d, 5*s - 8*s + 14 = 4*d. Solve 5*y - 4*y - d*f = 24, -5 = f for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -302353 - -1?\nAnswer: -302352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*q + 108, -q = -19*s + 18*s - 31. Calculate the greatest common divisor of q and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -638350, -638384, -638418, -638452?\nAnswer: -638486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**2 - 125*a**2 - 5*a**3 + 52*a**3.\nAnswer: 47*a**3 - 79*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 7*w**2 + 5*w - 1. Determine n(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of 809*f**4\/24 - f**3\/6 - 3*f**2 - 236. Let o(d) = -3*d. Give a(o(v)).\nAnswer: -2427*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 7*o**2 + 33*o + 32. Let q be x(-10). Solve 0 = -5*d - 5, -q + 5 = -c - d for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119463353.\nAnswer: 359, 332767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/17493 and -53\/231.\nAnswer: 192423","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2 - 10651692*a - 10651689.\nAnswer: -3*(a + 1)*(a + 3550563)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 2*x + 15 = 5*s, -4*x + 8 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/42*r**7 + 0*r + 0*r**5 + 0*r**3 + 0 + 7\/8*r**4 + 12*r**2 + 0*r**6. Find the second derivative of y(n) wrt n.\nAnswer: -60*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 88*a**2 + 893*a + 1088. Calculate n(-10).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18571*q**2 - 192*q + 191*q - 18564*q**2.\nAnswer: 7*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1520, -3, 457, 35 in decreasing order.\nAnswer: 457, 35, -3, -1520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4*t + 8, 4*u - 719*t + 728*t - 16 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 12 = -4*c + c, 3*c - 4*q - 23 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99375005 is divided by 519?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1135 + -3?\nAnswer: -1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**2 - 29*h + 81. Determine n(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 960 = -3*a. Suppose -6*i + 2*i = -a. Let m be (-40)\/(-6)*36\/12. Calculate the highest common divisor of i and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 - -76. Let m be 158\/6 + 12\/g. Calculate the greatest common factor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-15)*(y**(-16)\/y)\/y*y\/y**18*y**7)**(-1\/25) assuming y is positive.\nAnswer: y**(43\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -8*r - 16. Let z be u(-5). Suppose 4*p - 163 = 5*i - z, -2*i = 3*p - 133. Let y = -70 - -82. What is the remainder when p is divided by y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 2:05 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 152*s + 441. Let z(h) = -308*h - 880. Let o(m) = -13*p(m) - 6*z(m). Differentiate o(l) with respect to l.\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0671711cm in nanometers?\nAnswer: 671711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.3 - 0.7. Let o = 17 + y. Let b = 14.55 - o. What is b rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -4*q**7\/7 + 17*q**4\/12 - 3*q. What is the third derivative of y(j) wrt j?\nAnswer: -1440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 124368378.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + 574 + -574.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 + 58. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - 5*v + 15, -o + 57 = 3*o + v. What are the prime factors of (6\/o)\/((-1)\/(-85))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -275203.39999984 + 275203.7. Let n = d - 0.3. Round n to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 42 = 3*c, -2*i - 3*i - 10 = -3*c. Suppose 3*u = -5*o - 2 + 13, -2*u = -o + c. Is 558\/27*u\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, h: 6, r: 3, m: 9}. What is prob of picking 1 t and 3 m?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**3\/5 - 784*f**2 - 1054976*f\/5 + 83050496\/5 = 0. Calculate f.\nAnswer: -296, 64, 2192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 1, -2039, -2.\nAnswer: -2039, -3, -2, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lttt when four letters picked without replacement from {t: 7, l: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54 + 54 + 91*r**4 - 49*r - 25*r wrt r.\nAnswer: 1092*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6208387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**2\/6 + 2495731*c\/6 = 0?\nAnswer: -2495731, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1719 = -4*v + 4791. Is v a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7622547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 20664850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289813 is divided by 2131.\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/9314 and -26\/23285?\nAnswer: 46570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 94941912 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9528 and 28915098?\nAnswer: 115660392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -0.2, 2\/21, 46, 0.5 in descending order.\nAnswer: 46, 0.5, 2\/21, -0.2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, 0.2, -3\/8, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = 4*s + 2*l, 2*s - 4*l - 181 + 51 = 0. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 71*w + 498. Let q be j(-7). Let d(b) = -6*b**2 + 4. Let y(h) = -1 - 8*h + 11*h - 3*h + h**2. Determine q*d(z) + 4*y(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2. Let u(b) = 7*b**2 - 15*b + 8. Let n(s) = -6*m(s) + u(s). What is n(12)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2*w**2 - 267*w**3 + 0*w**2 - 2*w**2.\nAnswer: -267*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(5\/2))\/k*k)\/k**(1\/7))\/(k\/k**(1\/2))**(-47) assuming k is positive.\nAnswer: k**(153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 499a700 - -4?\nAnswer: 499a704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 6.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3 (c) -0.4 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113\/1530 - -2\/45. What is the second biggest value in 3\/4, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7310000 to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.447 less than -1547\/38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2462736387.91973 - -1.\nAnswer: -2462736386.91973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 41040 by 432.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = -4*i - 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54449034 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 656 + -654. Solve f + 0*f - l = b, 4*f = 3*b + 11 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*w - 2*w + 90. Suppose -6*x - w*x = -1845. What is the remainder when x is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20330201002 (base 4) to base 10.\nAnswer: 2345026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z = -29*z. Let t be ((-2)\/5)\/((-2)\/(-10)). Sort z, 3, t in descending order.\nAnswer: 3, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 69\/4 + -5*3\/60. Suppose 9*m = t*m - 432. What is the remainder when m is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/3 - u. Suppose -4*s + 9 + 17 = 3*j, -4*j + 16 = -4*s. Let h(m) = 11*m - j*m - 4*m. Calculate h(l(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150.4 - 79.4. Let x = 230 + g. What is the closest to -1 in x, 0.3, 11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -11*f**2 - 2*f - 3. Let g be t(-2). Suppose b - 462 = -2*b - 588. Which is greater: b or g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 10 = -0*d. Suppose d*i = -2*n + 12, -3*n = -3*i + 2*n + 1. Suppose k - 100 = -b - i*b, 5*b = -3*k + 160. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*u - 3000 = 26*u. Suppose 308*q = 278*q + u. Factor 12*m**2 - 25\/2 + 1\/2*m**q + 5*m - 5*m**3.\nAnswer: (m - 5)**2*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 892 = 910 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1.21 (b) -0.07 (c) -0.2 (d) 2\/3 (e) 41 (f) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 7460*w**2\/3 - 568224*w.\nAnswer: 2*w*(w - 3946)*(w + 216)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 264389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -144?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43417 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12303 - 12307. Sort c, 21, 2, 5, -5 in increasing order.\nAnswer: -5, c, 2, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.5 - -0.5. Let t = -631 + 631. Which is the closest to 2\/3? (a) q (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15598 and 6.\nAnswer: 46794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 20. Solve z = 2*i - 3 - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 + 1 - 4)*(1 - 1 - 1) - 1 + 1 - 1 + 1 - 2 + 3)*(-2 + 2 - 1)*(-2*c**2 - 2*c**2 + 2*c**2).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 444701828 to the power of 1\/2, to the nearest integer?\nAnswer: 21088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2921*v**4 + 7*v**3 + 1182238*v**2?\nAnswer: -70104*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m**5 - 165*m**4 - 1215*m**3 + 57625*m**2 - 56250*m = 0. What is m?\nAnswer: -18, 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07568844 rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 - 9*b**4 - 8*b**3.\nAnswer: -b**3*(b + 1)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -42833, 0.7, -4, -226, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1839 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 71875\/40 + (-1)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 16*k + 8. Suppose -54*x - 83 = -49*x + z, 61 = -4*x + z. What is o(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -136 + 0.5066.\nAnswer: -135.4934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8215 + -5859. List the prime factors of r.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.800677 times 0.3?\nAnswer: 0.2402031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-2)\/sqrt(10)*-3 - 2*(sqrt(7) + (sqrt(7) - ((sqrt(70)*1 - sqrt(70)) + sqrt(70))\/sqrt(10))).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, q: 5, m: 4, b: 1, x: 1}. Give prob of sequence aaa.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, p: 5, y: 1, c: 10, b: 3}. What is prob of sequence pa?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*z - 26*z + 5*z - 18 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 30 = -y + 3*r, 2*y + r + 8 = 0. Let n = 6 + y. Which is the biggest value? (a) -0.4 (b) -0.26 (c) n (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 493369277?\nAnswer: 41, 821, 14657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1250 divide 431602500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-1\/3)*i*i)\/(i*i\/(i*i*i**(-7\/4))))**50 assuming i is positive.\nAnswer: i**(475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**3 + 0*w**4 + 23 - 7*w**2 - 2\/5*w**5 + 3\/2*w**6 + 0*w. What is the third derivative of x(s) wrt s?\nAnswer: 540*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3*d)\/d**(-2\/3))\/(d**0)**(-2\/5) assuming d is positive.\nAnswer: d**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5c855 - -2c1?\nAnswer: 5cb26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 129 + -56. Let c = -933 + h. Let a = -398 - c. What is the greatest common factor of a and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -8.55, 26, -2, -1, 2 in decreasing order.\nAnswer: 26, 2, -1\/5, -1, -2, -8.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 15 = c, -2*m + 4*c - 8 = m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -41*u + 1. Let v(m) = 20*m - 1. What is -3*t(k) - 5*v(k)?\nAnswer: 23*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033471645 rounded to three dps?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25591761 and 1755.\nAnswer: 127958805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**5*l**20 assuming l is positive.\nAnswer: l**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.1737 rounded to 1 dp?\nAnswer: -5.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -328d8 + -1759?\nAnswer: -34253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12074.\nAnswer: 2, 6037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from omooomommomoooomoom. What is prob of picking 4 m?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 520230 and 930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.7 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8\/3 (b) 0.5 (c) -2 (d) 3 (e) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13729421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 j when three letters picked without replacement from {v: 15, j: 3}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -356\/5. Let f = 14.9 + -14.7. Which is the third biggest value? (a) 0.5 (b) o (c) f (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9419 - -64.826?\nAnswer: 9483.826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 at least 203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/13 - 224\/13*n - 1450\/13*n**2 + 1682\/13*n**3 = 0 for n.\nAnswer: -2\/29, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -6*n**6 - 13*n**5\/5 - n**4\/2 - 1712*n**3 + 3707. What is the third derivative of v(t) wrt t?\nAnswer: -2160*t**2 - 312*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-562)\/888 + (-12)\/(-24) and 39\/11.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -324711492*n**3 + 3*n - 152761.\nAnswer: -1948268952*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403171 is divided by 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 56, 51, 44, 35, 24, 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.3603266um?\nAnswer: 360.3266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*l**3 + 587*l - 587*l.\nAnswer: -77*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-2) + 13\/2. Suppose 2*h = -0*h + 50. Suppose -f*u + h = -3*u. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*p + 7498 - 8901 = 0 for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 5*t**2 + t - 15. Let q be r(7). What is q rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999252.\nAnswer: 2, 3, 41, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 - -795\/4. Let q = 0.2 + -1.2. Which is the closest to q? (a) 2 (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 8, -5*g - 4 - 31 = 3*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3956?\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.002 + -28.998. Let o = 21 + y. Let l = 9 + -7. Which is the third smallest value? (a) o (b) l (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 415, 487, 561, 637?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1232*m**2*t**2 - m**2*t - 539*m**2 - 2 with respect to t.\nAnswer: -2464*m**2*t - m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + u = -110. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfdoodo. Give prob of sequence xoo.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1156477682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -412 - -1681\/4. What is the common denominator of i and (0 - (-2)\/36)*73983\/813?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 346185*x**6 + x**4 + 216315*x**2 - 2?\nAnswer: 41542200*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25309673 and 1007.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18910979 to the nearest integer?\nAnswer: 4349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.364619 (b) -2\/9 (c) -4 (d) -0.3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -15, -3*t - 3*c + 21 = -0*t. Let h = -7 + t. Suppose 0 = -3*s + h + 1. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1562, -3153, -4744, -6335, -7926, -9517?\n\"Answer: -1591*o + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451\/4 + 113. Which is greater: w or -864?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 303911, 303699, 303487, 303275, 303063?\n\"Answer: -212*l + 304123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*sqrt(2448))**2 + sqrt(2448) + -2 + (1*sqrt(1088)*-1)**2).\nAnswer: -10602 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4234437, 8468873, 12703307, 16937739, 21172169, 25406597?\nAnswer: 29641023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -1\/6*x**3 + 2*x + x**2 + 0 + 1\/12*x**4. Give i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249 + 318. Let m = z - 71.73. What is m rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3 - 3*i**2 + 4*i**2 - 2*i + 0*i**2. Give q(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 2*i)*(2 + 17*i - 7*i - 4*i).\nAnswer: -12*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3045\/16 + -3043\/16. Which is the nearest to 1\/3? (a) -235 (b) -1\/4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in -2\/3, -12, 2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 350 + -266. Suppose 3*o - 179 = -f, 2*o = f - 150 - 34. Calculate the greatest common factor of f and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**8\/11200 + v**7\/1400 - v**5\/50 - v**4\/2 + 5*v. Let y(z) be the third derivative of h(z). Solve y(m) = 0 for m.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (38 - (-2938)\/(-78))\/((-2)\/21)\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 525 - 283. Let s = m - 239. Let -2\/15*b**s - 4\/15*b**2 + 0 - 2\/15*b = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -501 (base 9) to base 3.\nAnswer: -120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 73 + 15 - k**3 - 55 - 33.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.246?\nAnswer: 0.492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 12:42 AM?\nAnswer: 2:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*d - 6*d - 50 + d**2.\nAnswer: d**2 - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 279050 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4 - 2592\/(-640))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1122*m**3 + 2*m**2 - 4*m + 4. Let j(b) = 8*b + 26. Let z be j(-3). Let g be u(z). Suppose -73*i - g = -77*i. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5654017 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9490216 divided by 4502\nAnswer: 2108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + z**2 - 3)*(60*z + 84*z + 334*z)*(-8 - 12 + 19).\nAnswer: -478*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 50 + 45. Calculate the remainder when 2\/(-4) - l\/(-10) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -17 + 57. Let i be 24\/(4 + -7) + 13. Which is the third biggest value? (a) i (b) -0.5 (c) n (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 5 = -4*g. Suppose 9*t = 5*t + 16. Suppose -g*v**2 - 2*v**3 - 1 + 2*v + 0*v + t + 1 = 0. What is v?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - (5 - (5 + 4)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -34*g + 13. Give o(-6).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8*c**2 + 5*c - 7. What is the units digit of o(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = h - 461 + 452, 0 = -h - 9*k - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2208391421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 10 + 0 = 0. Suppose -k*b + 140 = -0*b. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 4*m - 6. Let l(q) = 2*q**2 - 7*q**2 - 2*q**m + q**3 + 5*q + 2. Determine l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22046767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2728 and 2211.\nAnswer: 4939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.13 + 0.83. Let b = a - 0.2. Let t = 3 + -2.9. What is the third smallest value in t, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*9*(-4)\/6. Let a = l - -8. Suppose -2*m - 4*i + 24 = i, 0 = 2*m + a*i - 36. What is the highest common factor of m and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 9:51 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -5*k - 2. Let l be f(-1). Find the second derivative of 34*s**3 - 10*s - 60*s**3 + 36*s**l wrt s.\nAnswer: 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2 + 2*o - 1. Give v(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-92)\/6*15\/(-2). Let s(b) = -15*b + 10. Let c be s(-5). Suppose 0 = -5*y + c + p. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 836 and 836.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1886 - -0.057?\nAnswer: 1886.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -520 - -38\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63 - 66. Let t = 328444.00001 - 328441. Let l = p + t. Round l to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - -789856?\nAnswer: 789790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 + 60*v**2 - 95*v - 390.\nAnswer: 5*(v - 3)*(v + 2)*(v + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 103 - 108. Suppose 0 = -5*r + r, -3*r = -5*s. Sort c, s, 3 in descending order.\nAnswer: 3, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - 39 = -63 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.05 - -0.32. Let t = f - -0.03. Suppose 0 = 7*v + 16 - 23. Which is the second smallest value? (a) v (b) 2\/7 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26? (a) 1\/5 (b) 3 (c) 5 (d) 288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15576738547\/210 - 148358675\/2. Let m = g - -4392. Let t = -26\/21 - m. Which is the third biggest value? (a) 2 (b) 4\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 16469622?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -197 + 240. Suppose -41*s + f*s - 20 = 0. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 28*r - 34. What is c(-16)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 + 205*g + 246. What is f(-52)?\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 358 + -86. Calculate the highest common divisor of 51 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80*i**3 - 20179282 + 20179282.\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 461 divide 4663747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2762.13 + 2762. Which is smaller: l or 10.8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(((-81)\/(-135))\/((-2)\/(-5)))\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5187)\/(-1274)*42\/90*-2.\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**2 + 4*a + 2. Let d(m) = -176*m**2 - 51*m - 43. Let p(r) = 117*r**2 + 34*r + 28. Let k(h) = -5*d(h) - 8*p(h). Determine 9*j(f) + 2*k(f).\nAnswer: 14*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 29 + -12 + (-14 - -35)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -581*i = -557*i - 336 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/3 - 140*c**2\/3 + 4114*c.\nAnswer: -2*c*(c - 51)*(c + 121)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + 1. Let q be 1\/3 + 4\/(-12). Suppose 0 = -d - q*d + v*l + 19, 3*d - l = 65. Calculate the remainder when d is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 5:51 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 14) + (-3 - -5) + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(1\/3)\/w*w**(-20)\/w)**(-17\/5) assuming w is positive.\nAnswer: w**(221\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -131 less than or equal to 36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + 5 + 5 + (1 - 2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 390*x + 1119. Give y(-3).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32091*y - 32096*y - 32095*y + 96282*y - 8*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147619054?\nAnswer: 2, 11, 6709957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 4*v**2 - v - 3. Let a(w) = w**2 - 1. What is -6*a(p) + 2*o(p)?\nAnswer: 2*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1206 and 552951.\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 + 4 + -3 + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99450746 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 343*k**3 + 625*k**2 - 89*k - 39. Let n(l) = -172*l**3 - 312*l**2 + 44*l + 20. Let r(d) = 4*j(d) + 7*n(d). Factor r(y).\nAnswer: 4*(y + 2)*(6*y + 1)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-122)\/8 - -2 - (64 + -71) and 22\/159.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01467881611 to six decimal places.\nAnswer: -0.014679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6604*c - 2*c**2 - 13363*c + 1984 + 6619*c with respect to c.\nAnswer: -4*c - 140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12184, 12193, 12202, 12211?\nAnswer: 12220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 61*p + 53. Let q be i(-8). Let u = 434 + q. Which is the third biggest value? (a) 2.2 (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = 5*r - 8, 2*r + 47 = 3*a. Suppose -5*l - 1 = -31. Calculate the remainder when (-34 - 4)*l\/(-4) is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 537\/(-20) + 25?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-4)*(-1332)\/(-222).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 11:09 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {r: 2, a: 1, b: 3, m: 1, h: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 41092 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 26\/3)*(-14)\/(-98)*42?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*p + 8*o - 9*o, -p + 2*o - 1 = 0. Let x(v) = -12*v + 3. Calculate x(p).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(((-4991)\/(-62))\/23) + (-554)\/(-7).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7028 + 70403\/10. Let c = 2381\/3 + -806. Calculate the common denominator of c and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 o when three letters picked without replacement from nnoono?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 14529*f**2 - f**3 + f**4 - f**3 - 14584*f**2 + 8 to n*f**2 + y*f**4 + g*f + o*f**3 + c and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbfq when four letters picked without replacement from {q: 4, o: 1, n: 5, f: 6, b: 4}.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**4 + 1200*f**3 - 371048*f**2 + 23387520*f + 48268800 = 0?\nAnswer: -838, -2, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 459.\nAnswer: -1\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 = 199*b + 106*b - 13121 - 15987 for b.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2 - 42\/28?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) 2 (b) 0 (c) -1\/7 (d) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in -6, -3\/5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4? (a) -1\/7 (b) -0.5 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 380871713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 34842, 140734, 317678, 565674, 884722?\n\"Answer: 35526*o**2 - 686*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1531 + -1077. Suppose 3*j - 746 - c = -2*m, 3050 = 5*m - 5*j. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 + 0. Let t(g) = -5*g**2 - g + 7. Let x(z) = 2*z**2 + z - 4. Let d(n) = 3*t(n) + 5*x(n). Let k be d(-1). Is k > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*7*(-95)\/38?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -413, -570, -727?\nAnswer: -884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d + 2*m - 3, 0 = -2*d + 8*m - 9*m for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -353*i**2 + 367?\nAnswer: -706*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719642.\nAnswer: 2, 7, 11, 4673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2280316 divided by 1140158\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -517*c**2 - c + 1. Let q be a(1). Let o = q + 1006. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u - 399353 = 96*u - 1698508. What is the ten thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 9*z + 14. Let p be c(10). Suppose -p*d - 3*d = 28. Is ((-1542)\/(-12))\/((-2)\/d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.003297.\nAnswer: -0.0009891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*q + 40*q = 0. Solve q = -5*h + 3*f - 2*f + 21, -3*f = 3*h - 27 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -617 - -308. Let w = a - -178. Let r = w - -870. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0\/n)**(-12\/5)\/((((n*(n\/(n**(2\/9)\/n))\/n)\/n)\/n)\/(n*n*n*n**(1\/4)*n)))\/((n**(-2)*n**(-7))\/((n*n**(-4))\/n**(-2))) assuming n is positive.\nAnswer: n**(2677\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l**5*l)\/l))\/l*l**(8\/5)\/l)\/(l\/(l\/l**(-5))*l*(l**16\/l*l)\/l) assuming l is positive.\nAnswer: l**(-82\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6300 - -207847\/33. What is the common denominator of -62\/15 and d?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13752 and 32113976?\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) 4 (c) -1\/3 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 43. Let j(p) be the third derivative of 0 + 0*p + 0*p**3 - 1\/60*p**5 - 2*p**2 + 0*p**b. Let d(z) = 4*z**2. Give d(j(u)).\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 371712 and 502272?\nAnswer: 121549824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117*l**3 + 1035*l + 1 - 1034*l - 24*l**3 wrt l?\nAnswer: -846*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**2 - 7*m - 7. Let a(z) = 2*z**2 - 7*z - 6. Let l(f) = 7*a(f) - 6*r(f). What is the second derivative of l(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 18 - 18)*(6*g**3 - 2*g**3 + 0*g**3).\nAnswer: -12*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. Suppose 978 = -64*w - 5*w - 333. Which is the biggest value? (a) 5 (b) w (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-9)\/4)\/(((-54)\/48)\/9). Suppose m + 5*q - 718 = 0, 2*m + 0*q - 1492 = 4*q. What is the greatest common factor of p and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29332152 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11384.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 121114 (base 5) in base 16?\nAnswer: 11b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h**2 - 2*h. Let w(o) = 217*o**2 - 63*o. Give -63*u(g) + 2*w(g).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 9:50 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0118624 rounded to 5 dps?\nAnswer: -0.01186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1914 and 24461877.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-2*3\/(-3)). What is the third smallest value in -0.5, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**5\/11 + 8*b**4 - 1310*b**3\/11 + 7600*b**2\/11 - 1000*b - 20000\/11 = 0.\nAnswer: -1, 5, 10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 89005747 + -89005371.00227. Let z = -383.31 + 7.31. Let i = z + w. What is i rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/27 + 424\/(-72) + 9. What is the third biggest value in 2\/9, 1029, f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 74 = -d - 90, 411 = 64*d + 91 for i.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q**2 - q**2 + 4*q**2)*(6*q - 4*q - 3*q + (-3 + 3 - q)*(-3 - 2 + 3) + 2 - 2 + 2*q).\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*((-90)\/6)\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 25 = 5*b + 37*y + 118 + 57, -3*y = 15 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-4)*(-508)\/(-1143)*51.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 87816*c - 16845818.\nAnswer: 2*(c - 191)*(c + 44099)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 11 = -4*v, y + 0*v + 3 = 2*v. Let a be ((-3)\/6)\/(1\/(-6)). Let u(g) = 4*g**3 + 3*g**3 + 3 - 8*g**3 - a*g - 6*g**2. Give u(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 32 - 120. Suppose -46 = -3*o - 2*o + c, -4*o - c + 44 = 0. What is the remainder when m is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 13. Let q be 16 + 1 - (-6 - 3)\/m. Solve -5*j - 10 = -q for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.54595423 rounded to two decimal places?\nAnswer: -2.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(99)*-3 + 3)*-6 + 5.\nAnswer: -54*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/47*(-186 - -185).\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gug when three letters picked without replacement from ubgnugbugrgnuuuu.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11206 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f**3 - f - 3. Let k(l) = l**3 + 2. Calculate -4*k(x) - 3*y(x).\nAnswer: 2*x**3 + 3*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -z + 1 + 3, 4*z = 3*t + 12. Let d be t\/(-1*2) - -1. Factor -4 - 8*m**2 - 3*m**d - 10*m + m**3 + 0.\nAnswer: -2*(m + 1)**2*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30458 - -58073. List the prime factors of u.\nAnswer: 3, 5, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3918 + 3912. Let m be (-1 - 3\/3)\/2. Which is the nearest to -4? (a) m (b) q (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7966.965 hours?\nAnswer: 28681074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*1 - 7\/(21\/(-18)). Suppose -f*y = y - 3357. Round y to the nearest one hundred.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1378 and 3936257?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/35 and 23\/155.\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 2\/(-4))*-4. Suppose 4*l = b*l. Which is bigger: -2\/7 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 + 35. Let v(a) be the first derivative of -a**2 + 4*a + 1. Give v(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 8\/(-3))*-18. Let i = t - 6. Put -5, i, -3 in decreasing order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -t - 1983, 1805 + 2152 = 4*j + t. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**2 + 150*r - 208. Give z(36).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 5 - (1 + 4)) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/28)\/(170\/8))\/(-86*34\/87720)?\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1584586 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/10)\/(3\/15). Let v be 2\/6*(11 - -1). Suppose v*k - i = 4, 0*k + 20 = l*k - 5*i. Solve k = -3*d + j - 2, -2*d + 5*j + 10 = -7*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -667485 (base 16) to base 9\nAnswer: -13563506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 14\/(-175) - 8864\/800?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 391259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6324115 centimeters to micrometers.\nAnswer: 6324.115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 15*y**2 - 39*y - 15. Let g be k(-17). Let z be (-292)\/((-34)\/g - (-16)\/56). What is z rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 612852, 2451317, 5515432, 9805203, 15320636, 22061737, 30028512?\n\"Answer: g**3 + 612819*g**2 + g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -249110, -498214, -747318?\nAnswer: -996422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -31*c*o**3*s + 2*c*o*s - 128*c*o - 13*o**3*s + 2*o**3 + 4*o**2 - 35*s wrt c?\nAnswer: -31*o**3*s + 2*o*s - 128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186947, -186811, -186585, -186269, -185863?\nAnswer: -185367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**2\/5 + 215452*h\/5 + 646374\/5 = 0?\nAnswer: -3, 107729","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63\/10 - -88\/5. Let z = -23\/20 - -37\/30. Calculate the common denominator of o and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 12:20 AM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 0.5157?\nAnswer: 0.5157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-146)\/(-1456) - ((-56)\/1274)\/((-14)\/49) and -61\/2740.\nAnswer: 38360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502880 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 37*d**2 + 429*d + 5323. What is j(-8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 5*t + 58 - 316 = 0, -143232*p + 143228*p - 4*t = -216 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - x + 0 + (-1 + 0 + 2)*(-2*x + 6*x - 2*x) - 2*x + 3*x + x + (-3*x + x + 3*x)*(0 + 4 - 1).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1923182, -3846357, -5769532, -7692707?\n\"Answer: -1923175*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 4*z + 112, 5*b - 131 = -2*z + 109. Let q = b - 42. Suppose -h + 15 = 2*h. Sort h, q, -1 in ascending order.\nAnswer: -1, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j + 4 = 4*x, -3*x + 4*j - 4 = 0. Which is the second biggest value? (a) x (b) 11 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**4 - 2*r**2 + 706*r + 28505 wrt r.\nAnswer: 8*r**3 - 4*r + 706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/(3*2\/8). Let g be 1*(-7 - 0)*1. Let w = d - g. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -4*a**2 + 3*a. Let r be 20 - 20 - 3*-2. Let m(f) = 23*f**2 - 17*f - 1. Determine r*m(v) + 34*s(v).\nAnswer: 2*v**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, -103, -231, -449, -787?\n\"Answer: -5*r**3 - 33*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p**4\/2 + 336*p**3 - 76560*p**2 + 6195200*p - 63888000 = 0.\nAnswer: 12, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 l when three letters picked without replacement from {e: 4, c: 5, t: 1, y: 3, l: 4, g: 1}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 202 = -37. Let m = 53 - d. Calculate the remainder when 78 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/31, -1, -15503?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d + 4. Let j be t(0). Solve 4*m + 5 = 5*o, o = -5*m - 3*o + j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -z**6\/20 - 7*z**3\/6 + 9*z**2\/2 + 4. Let g(i) be the second derivative of j(i). Differentiate g(a) wrt a.\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44646 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4832, 4835, 4842, 4853?\nAnswer: 4868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-2655))\/(5 - (24\/(-9) - -8))?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1321 - 0?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 58*i - 549. What is h(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + i**3 + 10 - 9*i + 10 + 3*i**4 + i as s*i**2 + l*i**3 + m*i**4 + o*i + f and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1581 + -1461. Which is greater: p or 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3135\/13794*11\/10. Sort 1\/6, a, 2, -11, -5.\nAnswer: -11, -5, 1\/6, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:59 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5191.19 + 5112. Let r = 70.8 + i. Let l = 9 + r. Round l to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 587691 and 104?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8265\/513 + 4\/(-36)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + (3 - 5) + 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -65.81 - 2\nAnswer: -67.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 88561073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, d: 6, h: 2}. Give prob of sequence hsd.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 631965119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 14. Let l = 5.06 - 0.06. Let f = l - 7. What is the third biggest value in f, c, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331*a + 550*a + 14839 = 0 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 5)*60\/9. Calculate the highest common divisor of w and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15597\/795447)\/(2*3\/90).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 3*v**2 + 1\/3*v**3 + 0 + 5*v. Differentiate y(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 426?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddddddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (2 - (-5 + (2 - 0)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.25569 + 0.39501. What is j rounded to two decimal places?\nAnswer: 1.65","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + (sqrt(324) - (sqrt(324)*-1 + sqrt(324))))\/(sqrt(84)\/(5*sqrt(7))).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1623 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 4*v + 21, 3*z - 5*v + 24 = 2. Solve -2*n + 29 = -5*q, -3*q + z = 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4 - 18\/5)*20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 19\/13, 25 in decreasing order.\nAnswer: 25, 19\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) + -6*(sqrt(204) + sqrt(204)*1))\/(sqrt(768)*2 - sqrt(768)) + -4.\nAnswer: -11*sqrt(17)\/8 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a - 17. Let p be s(17). Suppose -3 - p = -5*i. Sort 0, i, 3, 2\/9 in descending order.\nAnswer: i, 3, 2\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3393 and 347568?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17058251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 11*n**2 + 5*n + 3. Let q be k(-11). Let j = 362\/7 + q. Is -2 at least j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from davfw. What is prob of sequence af?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 30 + 14 - (2 + 14)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 5, p: 11}. What is prob of sequence ptt?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -48. Suppose b - g = -2*b. Calculate the remainder when b is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 divided by -8?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2 - (-10)\/(-4)). Suppose -3*g - q*g - 15 = -4*p, -15 = -p + 5*g. What is the first derivative of 0*h + p*h - 1 - 2*h wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l - 4*l + 2*l)*(-3*l + 2*l - l) + (-2*l - 3*l + 4*l)*(-2*l - l - 3*l) in the form f*l + o*l**2 + a and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -46 + 50. Let y(h) be the second derivative of 0*h**2 + 0 + 0*h**3 + 0*h**5 - 1\/45*h**6 + 1\/18*h**b + 2*h. Factor y(o).\nAnswer: -2*o**2*(o - 1)*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000259 to 6 decimal places.\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 7*c**2 + 3. Let n be t(-7). Suppose 0 = 4*r - n*l + 22, -4*r + 3*l - 24 = -l. What is the units digit of (r - 2*-1)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 30. Let d(u) be the first derivative of 0*u**p - u - 2 + 1\/2*u**4 + 0*u**3. Differentiate d(c) wrt c.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-61)\/(-79971)*57)\/(1\/6 - (-6)\/(-12))?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.1897 to 1 decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**2 + 18*p + 6. Let u(h) = h**2 - 6*h - 2. What is 4*f(w) + 11*u(w)?\nAnswer: -w**2 + 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 5 (b) 13 (c) 125 (d) -87 (e) 3\/2 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 - 15.5. Let m = u + 4.49999625. Round m to seven dps.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166 (base 9) to base 13.\nAnswer: -ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b983 + -d?\nAnswer: -b992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffkkfkkk. Give prob of sequence kkfk.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6*k**5 + 876*k**4 + 3*k**3 + 1091813*k**2 wrt k?\nAnswer: -360*k**2 + 21024*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1800 is divided by 1791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 30*o - 9. What is v(-9)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 3*u - 2. Let j be -236 + -2 - 8\/u. Let w = -79 - j. What are the prime factors of w?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 PM and 1:45 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:58 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -0*w + 4*x - 7, -3*w - 4*x + 15 = 0. Let y = -1 + w. What is the second derivative of y*o**2 - o**2 - o + 2*o wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-8)*(128\/12 - 4). Let q(p) = -1 + p**2 - 1 - 2*p - 2*p. Does 2 divide q(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*k - 4*k - 11*k**3 - 8*k + 12*k**3 to the form f + d*k + b*k**2 + i*k**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of 11*v**6\/120 - 4*v**5\/15 - 18*v**2. What is the third derivative of g(i) wrt i?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 929609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 33.410496 to two dps.\nAnswer: 33.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 5, 1\/4, 1, 0?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -34?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f. Let a(t) = 9*t - 25. Determine k(a(x)).\nAnswer: -45*x + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -120 less than -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**4\/12 + 3*i**2\/2 - 58*i. Let c(n) = 2*n**2 + 5. Let y(t) = -3*c(t) + 5*h(t). Let w(g) = -13*g. Give y(w(f)).\nAnswer: -169*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Convert 3120 (base 4) to base 6.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 31*w**2 - 50*w + 43. What is the remainder when 72 is divided by z(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5062757+-7216068\nAnswer: -2153311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {d: 2, m: 10, p: 6}?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -38. Let h be ((-4)\/3)\/((-4)\/x). Solve -m = -u - 3, 2*u + h*m - 11 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let y be 252\/(-54)*(-4626)\/7. Let v(j) = 16*j**2 - y*j + 3084*j. Give o(v(k)).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 3. Let d be l(1). Let v be d\/(-9) + (-75)\/(-9). Let s(z) = -550*z**3 + 11*z**2 + 5*z + 14. Let w be s(v). Round w to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 48944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -64.4 and -0.343.\nAnswer: 22.0892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.346 + 0.3?\nAnswer: -52.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x - 13*x = -4*r - 29, 0 = -3*x - 3*r + 36 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6248851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, p: 1, g: 1, q: 1, b: 2, v: 1}. Give prob of sequence qg.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -2082, -7095, -16858, -32955, -56970, -90487?\nAnswer: -135090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 225*i + 679. What is the remainder when 1302 is divided by l(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 638097889?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65342862 divided by -20007.\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 16126, -141 in descending order.\nAnswer: 16126, 8, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z - z. Let q = 1 + z. Calculate the remainder when 11 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*o)*(-o + 3*o - 5*o)*(-11 - 6*o + 19*o - 12*o) to the form f*o**2 + a*o**3 + u + p*o and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(13\/5)*(o*o**(-36))\/o assuming o is positive.\nAnswer: o**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590.\nAnswer: 2, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -59438, -119155, -179110, -239303, -299734?\n\"Answer: -119*v**2 - 59360*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0333149 rounded to 3 dps?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l + 2. Let b be h(6). Let v be 0 + -1 + 1\/1. Let p(i) = i**3 - 2*i**2 - i + 4. Let n be p(2). Sort n, v, b.\nAnswer: b, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 - 186*d + 4112. What is z(27)?\nAnswer: 2735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4973.841g to milligrams.\nAnswer: 4973841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (211 + 24)*(-1)\/(-5) is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5998 + -0.1998. Sort 0.3, f, -0.021 in decreasing order.\nAnswer: f, 0.3, -0.021","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1447076083?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26 - -13. Let y = -8 - k. Let h(q) = q**3 - 5*q**2 + 7*q - 3. Is h(y) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/(6\/(-144)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b = -45. Let h(l) = 4*l**3 - 11*l**2 + 16*l. Let d be h(b). Is d\/25 + (-4)\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 125*w + 5206 = 123*w, -3*d + 5*w + 3097 = 0. What is the lowest common multiple of d and 90?\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 3:08 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 6*w**2 - 15*w + 6. Let n(u) = -7*u**2 + 16*u - 5. Let h be (-6)\/9 + (-116)\/(-12). Let o be 1*12\/h*3. Let k(q) = o*b(q) + 3*n(q). Factor k(g).\nAnswer: 3*(g - 3)*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlq when three letters picked without replacement from {r: 1, h: 5, u: 1, l: 6, q: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 9 + (1 - 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -5, -4 in decreasing order.\nAnswer: 0, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 29. Suppose -4*s + i + 228 = -3*s, j = -4*i. Let w = 371 + -346. What is the highest common divisor of w and s?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*d + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*l + 22*l + l**2 - 6*l.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 - 16. Is c bigger than -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.27 (b) -0.01 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**5 + h**3 - 3*h**3 - 2*h**4 + h**4 + (1 - 1 - 2*h**4)*(-3*h + h + 3*h) + h**5 + h**5 - 4*h**5.\nAnswer: -2*h**5 - h**4 - 2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281 + 341 = 10*l. Solve -5*a - l - 34 = -4*m, 5*m - a = 29 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1509*l + 508. Is d(-33) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48107 is divided by 16030?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.57 + -0.2216361.\nAnswer: -3.7916361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(2\/59)))**(1\/5)\/((t**(-1\/7)*t)\/t)**(2\/45) assuming t is positive.\nAnswer: t**(244\/18585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -v, a - 4*v + 41 = -33. Let c be (-178)\/(-8)*(0 + 4). Let q = a + c. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 841 - 841 = -4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 6854, 23758, 50700, 87680?\n\"Answer: 5019*k**2 + 1847*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 t when four letters picked without replacement from {g: 1, s: 1, t: 1, f: 4, u: 8}?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 16*d + 112 = 0, -5 - 7 - 36 = -4*f - 4*d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 33. Let n be j(-15). Suppose x + n*x - 20 = 0. Is (2605\/10)\/(x\/30) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18942*h = 20803*h - 76301 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 8*c**2 - 8*c - 1. Let q be d(-7). Suppose -1095 = -9*l + q*l. List the prime factors of l.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(170)*-2)\/(sqrt(40)\/(sqrt(8)\/sqrt(2)))*2.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46505688 and -0.8768103.\nAnswer: -46505688.8768103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oaon when four letters picked without replacement from {a: 1, n: 3, o: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-5 + (7 - -8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/9 and -83\/9122358.\nAnswer: 27367074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -138, -762, -1858, -3414, -5418, -7858?\nAnswer: -10722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000874895 rounded to 7 decimal places?\nAnswer: -0.0000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -10 + -7?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnneeehrrnernennh. What is prob of sequence ee?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5617 + -3488. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q**(-7\/3)\/q)*q**(-4)*q)\/(q**(2\/3)\/q*(q*q**(-9))\/q*q) assuming q is positive.\nAnswer: q**(26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 5*r - 7. Let x be u(-3). Let n be ((-12)\/10)\/((-8)\/(-20)). Let o be n\/(-4) + 2 + -2. Which is the nearest to -1\/4? (a) -0.2 (b) o (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dm when two letters picked without replacement from mcmvdckdqmc.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(221\/(-2) + -3). Let y(g) = g - t + 227. Let o(r) = -r + 1. Let l(a) = 9*a**2 + 18*a - 18. Let j(b) = -3*l(b) - 54*o(b). Calculate y(j(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-99615)\/580)\/(-229)*(-16)\/42\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1431338 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 + 6065. Let d = -1784 + u. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 0, -9, -12, -3, 24?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*((2*q**2 - 2*q**2 + 2*q**4)*(-2*q - 2 + 2) + 0*q**5 - 3*q**5 + 2*q**5 - 4*q**5 + 0*q**3 + q**2 + 0*q**3).\nAnswer: -18*q**5 + 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11 - 4 - (-2 + -3 + -8 + 5)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6264 = -2*s - 11333, -4*t - 3*s + 70388 = 0. What is the thousands digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 494889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4222 + -4231. Sort 1, -4, u.\nAnswer: u, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 85550 and 175?\nAnswer: 598850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**5\/60 + 10*m**2 + 10*m - 6. Let p(k) = 2942*k**2. Give p(j(a)).\nAnswer: 2942*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000818 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16872 or -16390?\nAnswer: -16872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:23 AM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -132, -176, -254, -372, -536?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.18 (b) 2\/9 (c) -1\/809\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 374907, 374878, 374845, 374808, 374767, 374722?\nAnswer: 374673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -5*k - 72, -2*l = -3*k - 31 - 8. Let v be (2 - k\/(-6))*-222. Suppose -5*w = -2*w - v. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1555*w = -1560*w - 3*x - 70, -w - 296 = 9*x + x for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven tenths of a milligram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let o(c) = 45*c - 36. Let a(n) = -108*d(n) + 3*o(n). Suppose 2*t + 0*t = 2. What is the tens digit of a(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 k when four letters picked without replacement from {v: 3, k: 4, o: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 221512*j. Let w(o) = -3*o**2. Calculate w(a(f)).\nAnswer: -147202698432*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3040 divided by 80?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.11? (a) 3\/4 (b) -8 (c) 5 (d) 244 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.5, 2\/5, 4\/7 in ascending order.\nAnswer: -9.5, 2\/5, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - i = 2*i - 5, 0 = -5*f + 5*i - 15. Let g be (-2 + f - 1) + -4 + 13. Let l(v) = -2*v + 13. Give l(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**2 + 140*z = 0.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/21119 and -125\/1386.\nAnswer: 4181562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*p - 15, 0 = -y - 4*p + 12 + 9. Suppose 9*w - y*w - 2904000 = 0. What is w rounded to the nearest 10000?\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-6) + 905\/15. Suppose 0 = -5*r + 8*r - q. Suppose 57 = 2*l - p, 0*p - 4*p = r. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + ((-21)\/30 - (-3)\/15). Which is greater: -3 or g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1174388 minus -2?\nAnswer: -1174386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 31*o**2 - 176*o + 20. Let r be m(43). Round r to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 divided by -1155.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - -1)*(-2)\/(-4). Let i(o) = -4*o - 5. Let c(p) = -3*p - 4. Let v(a) = 5*c(a) - 4*i(a). Determine v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.569067 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 4*v = -1638. Let f = 288 - v. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 5 (c) 0.2 (d) -609 (e) 60\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3*n - 6671991 = 0, 0 = -x - 13*n + 9*n + 2223988. Round x to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*v - 37 = 0, 5*y + 3*v + 2*v = 40. Let q = -2 + y. Suppose -4*l + 1 = -q*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, -299, -1066, -2555, -5006, -8659?\nAnswer: -13754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 11. Let u = w - 4. What is the least common multiple of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 8\/7*f**2 + 2\/7*f**3 + 6\/7*f.\nAnswer: 2*f*(f - 3)*(f - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l. Let p be (-2)\/(-4) + (-4)\/8. Let r(u) = u + p*u + u + u. Determine r(j(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*m - 3*m - m**2 - 2*m + (-4*m + 5*m - 5*m)*(-26*m + 10*m + 19*m) in the form d + c*m**2 + w*m and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 + (-293080)\/(-6375) + 2\/75.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000021045 to 7 dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 4, -9, -5 in increasing order.\nAnswer: -12, -9, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/1100)\/(8\/(-3616)) - (27 - 7032\/264)?\nAnswer: 29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223777022 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -48472943*s - 38350641 wrt s.\nAnswer: -48472943","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 3:08 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4812377628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j - 94*j - 19 = 3*w - 50*j, 41*w = j - 204 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*i + 242 - 84, 0 = 3*j + 5*i - 227. Calculate the greatest common divisor of 2163 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 229, 234, 239?\n\"Answer: 5*l + 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3d - 9d0?\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 517427515 divided by 11\nAnswer: 47038865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**4 - 506*n**3 - n**2 - 5123*n?\nAnswer: -12*n**2 - 3036*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppb. What is prob of sequence pb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11932?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -138022.666 to the nearest one hundred.\nAnswer: -138000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 80.719 times -0.02\nAnswer: -1.61438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 51\nAnswer: -35.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 21*i = 117. Put -3, i, -34 in ascending order.\nAnswer: -34, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*q + 45, 4*d + 10 = 3*q - 13. Solve 0 = -5*f - q - 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q**3 + 3*q**3 - 2*q**3 + (7*q**2 - 14*q**2 - 4*q**2)*(2*q + q - 4*q) + (5*q**2 - 3*q**2 + 0*q**2)*(-1 + q + 1).\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 608 - 637 = -3*g, -11*t = 5*g - 83 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6.8815+-1180.901\nAnswer: -1174.0195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, t: 2, i: 7}. Give prob of picking 2 t and 1 j.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26058.\nAnswer: 2, 3, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.557 + 0.557. What is the third biggest value in -0.3, t, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 1 + 1 + 0 + 0 + (6 + 1 - 4)*(0 + 1 + 0))*(-3 + 8 - 3)*(-2*g - 4*g + 4*g) + (0 - 4 + 3)*(4 - 4 - g) as w*g + v and give w.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*f = -15, 129*y - 133*y - f = -60 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335114791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/784 - 249\/3920. Let h(s) = -s**2 + 6*s - 5. Let t be h(5). Is t bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -1\/2, 370.1, -4, -187\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*z + 57*z - 7*z - 161*z - 7*z + 40*z.\nAnswer: -88*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124473 is divided by 6430.\nAnswer: 2303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 91. Let a = 65.1071 - 32.10775. Let k = a + h. What is k rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0*n**4 - 3*n**3 - 2*n**4 - 1 - 6*n**3 in the form w*n**3 + t + c*n**2 + b*n + x*n**4 and give w.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -471172 and -471185 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 477012887 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6685, 9692, 14699, 21706, 30713, 41720, 54727?\nAnswer: 69734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, g: 1, d: 3}. Give prob of picking 2 d.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 - 53424*d - 178382736.\nAnswer: -4*(d + 6678)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-1090\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -27. Let j(q) = -q**3 - 8*q**2 - 9*q + 14. Let d be j(c). Suppose -p + d = 3*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 3*b - 3*v + 8, -4 = -3*b - 2*v. Suppose 35 = 14*i - 245. Solve b*u = -u + i, -3*u + 32 = -5*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8010*s + 46456. Give o(6).\nAnswer: -1604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10656403 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + 5*sqrt(84)*-2)\/(-2*sqrt(768)))**2 + (sqrt(847) - (sqrt(847) - (-2 + sqrt(847) + 5)))**2*-6.\nAnswer: -1314249\/256 - 396*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -53 - -52. Which is the closest to -0.4? (a) -0.5 (b) 3\/8 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69*30\/(-63) + 88\/(-77)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 2*l - 2*f, -l - f = -63 + 65 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -48460 and 7.57?\nAnswer: 48467.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r**3 + 19*r**2 + 17*r + 25. Let d(x) = -5*x**3 + 19*x**2 + 15*x + 25. Let m(i) = 7*d(i) - 6*k(i). Let j be m(-19). Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**4\/60 + p**3\/15 + 4*p**2\/5 + 2*p - 11. Factor o(l).\nAnswer: -(l - 4)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250708.\nAnswer: 2, 233, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 9 = -25. Let n be 2 + -2 + 0 + l. Suppose 3*z - 4 = n. What is the highest common factor of 77 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3995*g - 11299*g + 7335*g.\nAnswer: 31*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of s**4\/12 - 14*s. Let v(t) = 0*t**2 + 244*t + 1 - 246*t + 3*t**2. Give v(h) - 5*w(h).\nAnswer: -2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 19645, -4, -7 in decreasing order.\nAnswer: 19645, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/15)\/((-8)\/528). Suppose p*y = 9*y + 169. Are 8 and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 0 + (6 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-957901)\/(-42) + (-15)\/90 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25182 = 2*p + 44*g - 46*g, 12612 = p - 4*g. Does 44 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 287.1 + -284.1. Put 161, -4, n in descending order.\nAnswer: 161, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001255028542 to 6 decimal places.\nAnswer: -0.000126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -134*r - 9. What is the hundreds digit of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 463\/5 - 93. Which is the third smallest value? (a) 1 (b) q (c) 3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of q**7\/189 - 2*q**6\/135 + q**4\/27 - q**3\/27 - 2*q - 3. Factor w(m).\nAnswer: 2*m*(m - 1)**3*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 4*j**2 + 4*j + 4. Let y(d) = -1. Let q(s) = -a(s) - 2*y(s). Let n(o) = 5*o**2 + 5*o + 2. Calculate -5*n(g) - 6*q(g).\nAnswer: -g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/((-1547)\/9673) - (-1)\/(14\/(-4)). Solve 3*m = 2*z - 12, 5*z + 2*m + j = 92 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1504 and 1363.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2*p - 2*p = 0. Suppose p = 6*n + 853 - 4993. What is the units digit of ((-6)\/(-15))\/(3\/n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092 is divided by 503?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -3, 0 in increasing order.\nAnswer: -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1\/5, 0, -4 in descending order.\nAnswer: 25, 1\/5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13716 by -6.\nAnswer: 2286","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2, -2*o = 2*o - 2*t. Let a(w) = -4 - 2 - 8*w + 0. Let x(s) = -s - 1. Let d(z) = o*a(z) - 5*x(z). Differentiate d(c) wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1300)*-1*-3 + sqrt(832)*3 + -3.\nAnswer: -3 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*-3)\/((sqrt(20)\/sqrt(4)*-4 - sqrt(5)) + sqrt(5)) - (-3*sqrt(77)*4)\/((sqrt(77)*-1)\/sqrt(11)).\nAnswer: -9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 564424 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d - 74270 = -34*d. Suppose -d = -30*w + 28*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2300666 to three decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125, 255, 383, 509?\nAnswer: 633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/9 (b) -1\/5 (c) 7 (d) 80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1037707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 15 = 0, -67*m = -36*m - 32*m + 4*k - 20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -81, -120?\n\"Answer: -39*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*q + 0)*(940*q - 938*q + 39 - q**4 + 24).\nAnswer: 2*q**5 - 4*q**2 - 126*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -678881\/229790 + -2\/10445. Calculate the common denominator of a and (79\/7)\/((-48960)\/(-4760)).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 9:09 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 22. Let l = g - -142. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 6*m**4 + 89349*m**3 - 6598086*m**2 + 22132605*m - 9427950 = 0?\nAnswer: -14965, 1\/2, 3, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seventeen tenths of a centimeter?\nAnswer: 17000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26519 or -26499?\nAnswer: -26519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**2\/2 + 236. Let y(f) = -128*f**2 + 9*f - 9. Let h(b) = -32*b**2 + 2*b - 2. Let l(k) = 9*h(k) - 2*y(k). What is n(l(w))?\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 + 987. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 54*j - 3. Let a be x(-1). Find the common denominator of -71\/12 and (-5)\/(-30)*a\/(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -715 - -718. Solve -2*q - 15 = 5*j, -7 = -3*q - j + p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + (3 + sqrt(6)\/sqrt(3)*2 + 5)**2.\nAnswer: 32*sqrt(2) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/5*(-11)\/(-6)*8169\/419342?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 281 + -240. Let f = 763 - 723.96. Let q = f - s. Round q to 1 decimal place.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 14*q = 0. Suppose 4*w - 3*n + n - 4 = q, 0 = -n. Put 3, -11, w in increasing order.\nAnswer: -11, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 9, f: 1, s: 1, v: 2, b: 5}. What is prob of sequence bbv?\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 9423.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*v = -36, -32 = 5*v - 12. Let w = -11 - x. Solve -3*g - 12 = w*q - 3, -2*g = q + 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23191 is divided by 213.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + 2*sqrt(110))*6)\/(sqrt(10) + sqrt(110)\/(-1*sqrt(11) - sqrt(11))).\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 76729 - 142601 = 0. Suppose -29*v - o = -250433. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*p + 7046 = -18559. Is 19 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3\/2 (b) -4\/37 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 d when two letters picked without replacement from ikqndod.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 540 divided by 1446\nAnswer: 90\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3051611 is divided by 1044.\nAnswer: 1043","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*h**3 - 94 + 94)*(0*h + 2*h + 0*h)*(-6*h + 13*h + 13*h) + 3*h**3 - 3*h**3 - 4*h**5.\nAnswer: -3684*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8101098949 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 11 = 11*m. Find the second derivative of 15*g**m + 10*g**3 + 7*g + 6*g**3 - 21*g wrt g.\nAnswer: 186*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 a when three letters picked without replacement from ffaffaf.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p - 7*p + p + (2*p + 0*p - p)*(0 + 2 + 1) + 2*p + p - p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 26 - 6, 2*p - 5*w = 67. Let m be 2\/7 - 603\/(-21). Let d = m - p. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**2 - 39*k - 111. What is v(-3)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((0 - 3) + 25 + (-76 - -76))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 3262.2680751.\nAnswer: 3265.2680751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*-1 - sqrt(216))\/sqrt(12) + sqrt(20)\/(sqrt(60)\/(sqrt(6)*1)).\nAnswer: -5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19019 is divided by 17031.\nAnswer: 1988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*c**4 - 10478*c**3 - 1273725*c**2 wrt c.\nAnswer: -528*c - 62868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**4 + 3803 + 1439 + 18*p - 1192 - p**2 wrt p?\nAnswer: 8*p**3 - 2*p + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of 7*l**6\/6 + l**5 - 37*l**4\/4 + 31*l**3\/3 - 3*l**2 - 16. Factor r(y).\nAnswer: y*(y - 1)**2*(y + 3)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -39. Let k be (-2 - b\/5)\/(3\/2). Sort -6, 5, k.\nAnswer: -6, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 99 - -46. Is 29 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 28 = -5*w, -w - 1 + 6 = 0. Suppose 3*o - 4*h - 28 = 0, 3*o = 6*o - 2*h - 20. Suppose d + g = o. Solve 4*u + d + 3 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwic when four letters picked without replacement from hhhhhhahccchwziaw.\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + 9\/(-6))*10. Suppose -18 = -x*j + 24*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4495*d - 30. Let g(v) = -2997*v - 19. What is 8*g(j) - 5*p(j)?\nAnswer: -1501*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 59*h = 48*h + 94, -23 = 5*x - h for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 136 - 80. Let f = x - 37. Calculate the greatest common factor of f and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11436 and 236344?\nAnswer: 709032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 9}. What is prob of picking 3 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -3*(-5)\/(-15)*-147.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 34 and -0.16.\nAnswer: -5.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.77 (b) 3 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121970784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1087 in 4, -1\/6, 1.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**4\/24 - 3*t**3 + t**2. Let g = -160332 - -160345. Determine b(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/30 - h**4\/4 - h**3\/3 + 3*h**2. Let j = -5 + 10. Is 18 a factor of r(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27243 + -19357. List the prime factors of d.\nAnswer: 2, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) 9 (b) 0.3 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 4*g + 93, 5*g - 108 - 30 = -6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 - 5*s**3 - 3*s**3 + 108*s**2 + 4*s**3 + 2*s**3.\nAnswer: -s**3 + 108*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13)*u)**3*(((u*u\/(u\/(u**(-1\/4)\/u*u)))\/u)\/u)**49 assuming u is positive.\nAnswer: u**(-3005\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(140\/(-8)))\/(-31 - -32). Let -a*c**2 + 16\/7*c - 32\/7 = 0. What is c?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 4*f + 3. Let h = -6 + 2. Let n be l(h). Let j(w) = -3*w**n + 0*w**2 - w**2 + 0*w + 2*w**3 - w. What is j(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74434027 by 2.\nAnswer: 74434027\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 + 1000*i - 996.\nAnswer: -4*(i - 249)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*u - 1268765 = -4227755. What is u rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 959104 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**5\/5 - 14*u**4 - 494*u**3\/5 + 2166*u**2\/5 = 0. Calculate u.\nAnswer: -19, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**0\/t)\/t)**(-1\/15))**(-4\/23) assuming t is positive.\nAnswer: t**(-8\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3.4, 0.5, 4, -44, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*y + 4. Suppose -2*t + 14 = y. Suppose -t*b + 7 + 5 = 0. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 20*d. Let q(c) = 20*c**2. Give k(q(w)).\nAnswer: 400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 282 divided by -5.\nAnswer: -282\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 3:17 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 4*j - x - 91, -3*x = 9. Solve -5*p + j - 2 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**9\/t)**(-2)*t**(-8\/11)*t**(-2\/11) assuming t is positive.\nAnswer: t**(-208\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 280284 divided by 93428?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12.8 + 1.3. Let h = 7.65 + y. Let w = h + -0.15. What is the second biggest value in -0.5, -2, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p + 2*p**2 + 2*p + (-p + 0*p - 3*p)*(-4 + 2 + 3)*(-6 + 1 + 2)*(657 - 657 - 13*p) to the form x*p + k*p**2 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*z + 15*z - 5*k + 125, 0 = -4*z - k + 137. Suppose -25*f + 18*f = -z. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13130 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 55245487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 - 33.996. What is g rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-12))\/(9\/(-24)). Let x be 4 + c\/4*(-32)\/8. Solve v = 5, 3*p - 2*v - x = -p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.077 + -0.077. What is the biggest value in q, 0.3, 3, -1\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-2) - (-1)\/2. Suppose -19 - 5 = -4*m. Let j be ((-3)\/m)\/1*l. Solve -4*x + 7*x + 12 = j for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/11*(-4818)\/(-3066)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4016 is divided by 3699?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -3761?\nAnswer: -3768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -278248 - -137844. Let m = 20218061\/144 + k. What is the common denominator of 41\/42 and m?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of c**7\/105 + c**6\/60 - c**5\/15 + 2*c**2. Find l such that i(l) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-24))\/(((-441)\/(-72))\/7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from kkvmmyykkskmskmvmvm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 619.1104mm in micrometers?\nAnswer: 619110.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 4*t**3\/3 - 9*t**2\/2 - 95*t - 25. What is the first derivative of a(x) wrt x?\nAnswer: 8*x - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 15 - 6) + 6 + -37.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/141*(-247)\/((-56810)\/552).\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1.519669 micrometers?\nAnswer: 0.0001519669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 7*y - 5. Let p be b(8). Suppose -4*j = -p*j. Let f = 1648 + -1644. Solve -m - 3*m + f = j for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e0 - 1052a?\nAnswer: -1071a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 154\/199 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 3*q - 12 = 0, 3*d + 5*q + 20 = -0*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8562 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6028456 to the nearest integer?\nAnswer: 2455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 39 - 9*j + 1\/2*j**2. Give u(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 131145, 262169, 393129, 524031, 654881, 785685?\n\"Answer: m**3 - 38*m**2 + 131131*m + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.7 - 3.1. What is the closest to 1 in -3, u, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:38 PM and 11:30 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7984753 rounded to three decimal places?\nAnswer: 0.798","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20) + sqrt(5) + -2) + (sqrt(10)\/sqrt(2)*4 - sqrt(40)\/(sqrt(8)*-1)) - (0 + sqrt(30)\/(sqrt(6)*-2) + 5 + sqrt(80)\/sqrt(4)).\nAnswer: -3 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/782 and -7\/189750.\nAnswer: 3225750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s, -2*g + 93 = s - 25. Suppose 58*d + 120 = -59*d + 125*d. What is the remainder when g is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -1\/2 (b) 0.0711 (c) 2\/15 (d) -12\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91214 and 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -be - -5?\nAnswer: -b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 20*p. Let u(y) = 524*y + 934. Calculate -26*r(a) + u(a).\nAnswer: 4*a + 934","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of w**2 + 0*w**3 + 0 + w + 1\/4*w**4. What is the derivative of k(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 6, -1, 3 in increasing order.\nAnswer: -7, -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 51*n**2 - 2*n. Suppose -11 = 4*b - 5*z, -26*b = -27*b + 5*z - 14. Calculate t(b).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -16. Suppose s*t - 8 = 2. What is the third derivative of 2*r**2 - r**2 - 2*r**3 - 5*r**t + r**3 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 985.9771m to centimeters.\nAnswer: 98597.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j - 39. Let m be o(-5). Let b = -70 - m. Calculate the greatest common divisor of b and 340.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2072 and 444?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 595597291 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001010001001 + 110?\nAnswer: -101001010000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let g = 5 - 3. Let v(z) = -2*z + 2 - z**g + 3*z**2 - z**u. Calculate v(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3315?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 1101. Let v(a) = -38*a - 10. What is t(v(n))?\nAnswer: 1444*n**2 + 760*n - 1001","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 12*h + 123. Let w be y(-8). Let a be (-1)\/2 - (-157)\/2. Suppose a = j + w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/((-1900)\/520))\/(39\/(-240)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19870 and 1580?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 46631, 223375, 517949, 930353, 1460587, 2108651?\n\"Answer: 58915*c**2 - c - 12283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/11))**(-47)*j*j**(-1\/7)*j**(-5))**(-19\/7) assuming j is positive.\nAnswer: j**(-190\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g + 14. Let d be k(7). Let r(s) = -s - 3. Let z be r(-2). Which is the third biggest value? (a) d (b) z (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -239 + 236. Which is the second smallest value? (a) n (b) -1\/2 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1719?\nAnswer: 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - w**2 + 12*w. Suppose -x = -5*p + 21, -3*x + 2*p + 2 = -0*p. Suppose x*m = -2*m - 36. What are the prime factors of z(m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 725562 to the nearest integer?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 59, 3, -1 in ascending order.\nAnswer: -1, 3, 4, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 118480, 118475, 118470, 118465?\n\"Answer: -5*i + 118485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70928 by 5456.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2108553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/8*-6)\/(6\/(-16)). Suppose 4*u = -5*l + 97, -5*l - 89 = -o*u - 2*l. Find the second derivative of -u*p - p**2 - 1186 + 1186 wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -7401b?\nAnswer: 74026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -18, 9, -4, -1145 in descending order.\nAnswer: 9, 3, -4, -5, -18, -1145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - (-42)\/8)\/(1\/136). Suppose -u = -1203 - f. Suppose -11*o + 42 = -u. What are the prime factors of o?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16408)\/18752*((-21)\/3 + 3)*-2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294228 divided by 4.\nAnswer: 73557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 3. Let h(b) be the first derivative of 1 + 0*b**2 + 2\/3*b**3 + 4*b. Calculate 3*h(x) + 4*j(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00083026 rounded to 5 decimal places?\nAnswer: 0.00083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749148 is divided by 1165.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 527815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.05573 - 9.53873. Let m = 161.117 + -161. Let g = x - m. Round g to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 430?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -739, 1, 6, -5, -2.\nAnswer: -739, -5, -2, 0, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 121 and 2579.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16\/72 - ((-425300)\/18)\/10?\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4397303*v + 4397689*v + 59444 = 0 for v.\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*l - 2538 - 3418 = -4332 for l.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -667145*h**2*p**4 + 2*h**2*p - 4*h*p**2 - 915*h + 168*p**2 wrt p?\nAnswer: -16011480*h**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -994, -1337, -1910, -2713, -3746?\nAnswer: -5009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2395199.573 rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0*k - 16. Suppose 5*o - k = 4*o. Calculate the remainder when 15 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2*s - 2. Suppose 3*o = -3*c, -4*o + 4*c + 1 - 9 = 0. Let w be ((-4)\/5)\/(o\/5). Give y(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-14)\/o))*o**(-1\/25))**(-37) assuming o is positive.\nAnswer: o**(13912\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4338770 divided by 867754?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02 and 396692.9?\nAnswer: 396692.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 558635*t**2 + 3*t**3 - 279326*t**2 - 279309*t**2 + 2*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 282\/24 + (-31)\/((-372)\/(-156))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1889195 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**5\/20 - i**4\/3 + i**3\/2 + i. Let s be x(3). Let 0*t**4 + s - 2\/5*t**5 + 6\/5*t**3 - 4\/5*t**2 + 0*t = 0. Calculate t.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13663 (base 10) in base 8?\nAnswer: -32537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - (-30 + -3)) + 4?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 917 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 13\/151 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 189*f = 76*f + 12769. Calculate the remainder when 518 is divided by f.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -o + 9. Suppose 0 = n - 9*n + o. Suppose 2*d - 34 - 105 = 3*z, n*z - 285 = -5*d. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.8, -330\/13, -0.9, -2?\nAnswer: -330\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**5\/70 - x**4\/42 - 2*x**3\/21 - 16*x + 11. Let f(b) be the first derivative of t(b). Factor f(z).\nAnswer: 2*z*(z - 2)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5*q + 11 = 0, 2 = -4*g - 3*q - 0. Let v be (2\/(3 - g))\/(-1). Is -3 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 440 + 79. List the prime factors of o.\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -3*y**2 - 25*y - 1. Determine k(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) 3\/7 (b) 0.1 (c) -1\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 5*h - 8 = 0. Let z be 3 - (-2 + h) - (4 - 11). Let i(l) = -l**3 + 6*l**2 - 3*l - 3. Calculate i(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**4\/24 + 19*x**3\/6 - x**2\/2 + 2*x. Let u(l) be the first derivative of t(l). What are the prime factors of u(9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 520669 and 674120.\nAnswer: 395708440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1698262*d + 56 - 4*d**2 + 1698262*d.\nAnswer: -4*d**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -5. Let y = c + 0. What is the second derivative of 0*k**2 - 3*k + 0*k - 2*k**y wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4277510 (base 8) in base 10?\nAnswer: -1146696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/2*(-11)\/66*4. Let m(d) = 9*d + 5 - 19*d + s*d - 4. What is m(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*y**3*z + 301*y**3 - 3*y**2 + 21521*y*z - 3 with respect to z.\nAnswer: -2*y**3 + 21521*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 51*b**2. Let i(y) = 2*y. Calculate i(s(x)).\nAnswer: 102*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 16728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1128 times 4?\nAnswer: -4512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6057 to the nearest one hundred.\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 + -1.2. Let r = -1.94 + -1.96. Let b = r + 1.9. What is the biggest value in f, b, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (22\/(-330)*12)\/((-8)\/5). Factor 0*z + 0 - 3\/2*z**2 - q*z**3 + 2*z**4.\nAnswer: z**2*(z - 1)*(4*z + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8088, -16175, -24262?\n\"Answer: -8087*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -859 * 640.\nAnswer: -549760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((-1 - -7) + -15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/k**(2\/13)*k*k**1*k)\/(k**(-1))**(-3\/4))**(-17))**(-4\/41) assuming k is positive.\nAnswer: k**(4505\/533)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 914317 to the power of 1\/3, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 5*k. Let i(j) be the third derivative of -j**5\/12 + j**4\/4 - 3*j**2. Let y(x) = 5*i(x) + 6*z(x). Let o(r) = -r**2. Give o(y(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2996888*l**3 + 2996894*l**3 - 5993780*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arararaaaaaara. What is prob of picking 1 r and 2 a?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 2*s + 2. Suppose -5*x + 0 - 35 = 0. Let f(t) = 3*t + 2*t**2 + 5 - 4 + 2. Determine x*k(o) + 4*f(o).\nAnswer: o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/7 + (-62)\/5642. What is the fourth biggest value in -3, b, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 13350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*b + 2*p + 30 = -978*b, 0 = 5*b + 4*p + 30 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 400002 = -2*k, -2*k + 3*v = k + 599994. Round k to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147 - 749 = 260*t + 698 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209\/435 - 7\/87. Sort 4, -0.2, -4\/15, r in ascending order.\nAnswer: -4\/15, -0.2, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1748 - -2895. Suppose 3*i - 5*n = 4*i - 25, -4 = -n. Suppose -k + i*k - 3*v = 2299, v + d = 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2827.\nAnswer: 11, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5313, 10617, 15919, 21219, 26517, 31813?\n\"Answer: -s**2 + 5307*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 3*t - 99 = 0, 5*t + 1386 = 37*a + 1467 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 1486 and 1492 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 150 - 150. Sort j, -3, -13, -4.\nAnswer: -13, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/20 and 53\/338.\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 5*j - 5. Let d be b(5). Let y = d - -5. Let w = -29\/33 - -6\/11. Sort 0.2, w, y in decreasing order.\nAnswer: 0.2, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:50 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75436594.\nAnswer: 2, 73, 516689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -2*j + 2*o + 135, 3*j + 2*o = 421. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 4:48 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23461, 23452, 23437, 23416, 23389?\n\"Answer: -3*d**2 + 23464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m**2 + m - 3. Let h(c) = -2*c**2 + 2*c - 3. Determine -4*h(b) + 5*w(b).\nAnswer: -2*b**2 - 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -95*n**8\/112 - 13*n**4\/24 + 4*n**3\/3 - n**2 - 11. Find the second derivative of f(l) wrt l.\nAnswer: -5700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*s**3 - 3975 + 3975 + (-s + s + 2*s**2)*(-s + 4*s - s) + s**3 - 5*s**3 + 2*s**3 to the form y*s**3 + m*s**2 + p + u*s and give y.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 511, 510, 509, 508, 507?\n\"Answer: -c + 512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 3. Suppose -a*t = -4*t. Let o(m) = m**2 + 12. What is o(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*x - 4*p, 0 = -2*x + p + 56642 - 56656 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2727\/4)\/9 + (-12)\/(-48). What is the greatest common divisor of 1102 and k?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 1 z when three letters picked without replacement from {t: 1, z: 4, e: 1, d: 4, r: 3, w: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20872529 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5ee6 (base 15) in base 4?\nAnswer: 10330101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - g + 9 = 0. Let r be 1 - ((-2175)\/(-504) - g). Let j = -1\/56 + r. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (299\/(-234))\/23*-9.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66\/19*w**2 + 10\/19*w**3 - 34\/19*w - 42\/19.\nAnswer: 2*(w - 1)*(w + 7)*(5*w + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/3 - 115*i**3\/3 - 109*i**2 + 1003*i\/3 - 560\/3 = 0.\nAnswer: -112, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13 + 7 = 0, 2*u - 19 = -3*h. Let g = -0.04 + 1.04. What is the fourth smallest value in g, u, 0.1, 5\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 99 = 5*x, x + x - 4*j = -34. Let u be (((-4)\/6)\/(-1))\/((-1)\/x). List the prime factors of -3 + -4*u\/(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7 - (9 - 25)) + -4. Solve -10 - 5 = -c*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17789*m*x**2 + 837*m*x - 22*x**2 - 2*x + 32959 wrt m.\nAnswer: -17789*x**2 + 837*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*u + 33, 0 = -u + 5*h - 7*h - 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*z + 3*t - 35 = 0, z = 5*t + 27. Suppose 4*o = 3*b - 5*b + 40, 2*b - 4*o = z. Solve 4*h - 4*n + b = -2*n, 4*n = 3*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27\/2 of a meter?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3353 and 573842?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 6*x. Let v(g) = 2*g**2 - 3200*g + 86. What is v(d(w))?\nAnswer: 72*w**2 - 19200*w + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/420109 or -1?\nAnswer: 3\/420109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j = 10*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1065764 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d + 42 - 110 = 2*d. Let a(m) = 3*m**3 + m. Let o be a(-2). Let i = o - -36. Solve 4*b + i = d for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, -3\/5, -5?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, b: 1}. What is prob of sequence xxxb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 2*m**2 + 4*m + 2. Let a be d(-3). Let l(t) = 5*t**2 + 230*t + 1. Let g(h) = 3*h**2 + 192*h + 1. Let f(b) = -6*g(b) + 5*l(b). What is f(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2*w + 1\/4*w**2 + 0 = 0. What is w?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1))**(-1\/5)\/((g\/(g\/(g*g**(-1)*g)*g))\/g)**(-11) assuming g is positive.\nAnswer: g**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 6735*y - 168572. Give b(25).\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scmvnpn. Give prob of sequence mcp.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1808*s + 72 = -1806*s for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4012229 and 1014?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w*w**(2\/11))\/(w**2\/w*w*w))\/(w**(-2\/3)*w)**47 assuming w is positive.\nAnswer: w**(-544\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**3 + 1176*y**2 + 10*y - 1072. Let x(o) = -o**3 - 14*o**2 - o + 1. Let l(h) = -r(h) - 8*x(h). Let l(a) = 0. What is a?\nAnswer: -1, 1, 532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 20*h + 14. Let u be p(6). Let l(z) = -47*z**u - 47*z**2 + 107*z**2. Let v(j) = -2*j + j + 2*j - 3*j. Give v(l(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (549\/(-4))\/((-3)\/(-12)). Let u = 1061\/2 + w. Let f = 338 + -1399\/4. Calculate the common denominator of f and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-2) + (-420)\/(-138). Let s(k) = -2*k**3 - 16*k**2 + k + 8. Let a be s(-8). Which is smaller: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of s**4\/12 + s**2\/2 - 10*s. Calculate c(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 - -480. Is h a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or -13230?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*h + 1615 = -545. What is the highest common factor of 45 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 148 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k. Let b(i) = -900*i - 2. Give b(q(y)).\nAnswer: -1800*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*l**4 - 599*l**3 - 58*l**2 - 276*l**2 + 970*l**4 + 598*l**3 wrt l.\nAnswer: 23832*l - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 18*b**3 - 8*b**2 + 11*b - 7. Suppose -28 + 20 = -2*q. What is the units digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 4*j**2 - 6*j - 1. Let k be f(-5). Let a be (-6)\/(-75)*135\/18. Sort -0.3, a, k in ascending order.\nAnswer: -0.3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-111)\/(-7) - (-5)\/35. Solve -3*k + u = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132241 (base 6) in base 7?\nAnswer: 50356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8209.9 + -1.\nAnswer: -8210.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 58*k**2 - 14*k - 328. What is the smallest common multiple of 88 and o(-58)?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 88 = 7. What is the highest common divisor of 171 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 + -169. Suppose 14*v - 8*v - 5118 = x. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/216*(-13500)\/(-2025)?\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74\/143 + 4\/11. Let j = -4 - -8. What is the nearest to 0 in j, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + (-1)\/1)*60\/(-40)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 881209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 77523604*n + 42947692 with respect to n.\nAnswer: 77523604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 2*c - 4. What is l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/15)\/((-2)\/50). Let l be 7\/(p\/6 + 3). Calculate the common denominator of 31\/18 and (l\/70)\/(6\/154).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**2. Let o(f) = -6*f - 2*f + 10*f. Determine g(o(p)).\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -33 - -28. Let r be 2\/(-20) + 0 + 2\/i. Which is the closest to 0.1? (a) 0.1 (b) r (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110*-0.3\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -293 + 289. Let m = -15 - -7. Let u = m - -5. Which is the closest to 1? (a) -1 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.42 and -6.\nAnswer: -2.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*(sqrt(693) + (sqrt(693)*2 - sqrt(693))) - sqrt(693))\/(sqrt(99)*2 - sqrt(99)))\/((sqrt(27) + sqrt(675))\/sqrt(3) + sqrt(81)*3)*3)**2.\nAnswer: 7\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c - 3*c + 2*c + (18*c + 229 - 229)*(4 - 1 - 4).\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7331 - -42.52\nAnswer: 7373.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000934 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3494096 is divided by 2494.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0537 and -9514696.6804.\nAnswer: -9514696.6267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -718, -2879, -6474, -11497, -17942?\n\"Answer: c**3 - 723*c**2 + c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18762893 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 + ((-13589)\/4191 - 1\/11). Which is the nearest to q? (a) 4 (b) -1 (c) 1175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 351020.7 centimeters to kilometers.\nAnswer: 3.510207","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 12:31 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -14 - (7 + -12 - 6)) + -17.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -377 and -378 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37028498?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and 219\/81 + -2 + 2 + -4.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**5 - 397*p**4 - 15394*p**3 + 48574*p**2 - 49373*p + 16591.\nAnswer: -(p - 1)**3*(p + 47)*(p + 353)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 7*y**2 - y - 4. What is the tens digit of b(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2\/5 + 9*m + 164\/5 = 0 for m.\nAnswer: -41, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 593.60908 and -402250.\nAnswer: -401656.39092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**4\/3 + 2255*u**3\/3 + 602988*u**2 + 622944592*u\/3 + 78489117632\/3.\nAnswer: (u + 436)**3*(u + 947)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + -18. Let o = p - -20. Suppose -14 = -i + o. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 566778551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + 9 - 6 - 8) + 9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2117832 and 1659?\nAnswer: 14824824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:29 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -21*v + 1. Let b(u) = 2*u**2. Determine h(b(t)).\nAnswer: -42*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence agag when four letters picked without replacement from {a: 4, t: 1, g: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29 - 24. Suppose -7 = 4*b + j*d - 22, 3*b = d + 16. Solve b*h - 2 = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xi when two letters picked without replacement from xxixxixxxxxxxi.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**2\/9 - 118*n\/9 + 76\/3 = 0. Calculate n.\nAnswer: 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 481*r**2 - 9*r - 14. What is the thousands digit of g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k - 1. Let s(d) = d + 1. Give q(z) - 2*s(z).\nAnswer: 4*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.6 and -0.08.\nAnswer: -1.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 152934 = -89193. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3809 divided by -33807?\nAnswer: 3809\/33807","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3. Let i(c) = -5*c**2 - 10 + 6*c**2 + c**3 - 21*c + 20*c. Calculate i(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 827 * 396.\nAnswer: 327492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 4, 1, -17 in decreasing order.\nAnswer: 4, 2, 1, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3625*x**2 + 101*x - 54*x - 3600*x**2 - 47*x + 7239*x**2.\nAnswer: 14*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 20*x + 2. Let a(p) = -37*p - 2. Determine -6*a(c) - 11*q(c).\nAnswer: 2*c - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 213*a - 204*a - 63. List the prime factors of 1074\/4 + ((-7)\/(-2))\/a.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 98. Let y = h + 86. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 - 12\/4 - (-102326)\/2.\nAnswer: 2, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1120 and 3066.\nAnswer: 245280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -113.12273 * -5.\nAnswer: 565.61365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**2 - a + 1. Let o(y) = 19*y + 251. Let p be o(-13). Let x(w) = 5*w**2 - 2*w + 1. Calculate p*x(d) - 7*i(d).\nAnswer: -d**2 - d - 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -9*y**2 - 2*y - 1. Let m be v(-1). Let i be (m\/(-6))\/((-11)\/(-59400)). What is i rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3929 at most 848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:22 PM and 11:07 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10 + -8 + 0\/(-2). Suppose 3*v - 40 = -5*i + 60, -115 = -5*v + w*i. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33 + 64a1?\nAnswer: 6514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + 5. What is the tens digit of -1 + 19 + 24\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 821*v**5*x**3 + 267*v**3*x**3 - 23*v*x**3 + 18*v*x**2 + 18*v + 9*x wrt v?\nAnswer: 16420*v**3*x**3 + 1602*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 1. Suppose -5*o + z*o - 10 = 0. Solve -o = -b - 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 2*c - c = 1. Solve -c = -2*z + 3*b, -28 = 3*z - 3*b - 34 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19789?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 11 = -0*h. Let t = -56\/5 + h. Let b be 420\/375 - 4\/(-50). What is the third biggest value in b, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 9 (c) -3 (d) 4.4 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21039 and 7248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 81?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**5\/10 - p**4\/3 + 4*p**3\/3 + 8*p**2 + 4*p - 8. Factor q(a).\nAnswer: -2*(a - 2)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = h - 2254, 0*f - 5*h - 880 = -2*f. What is the hundreds digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -29*p - 325. Determine l(-9).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 2 + 3 + 7*u - 8*u - 2*u**2 - 2*u**2. Let n(i) = 6*i - 1. Let s be n(1). Suppose 0 = -4*d - s - 11. Give r(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvvxxsqxsjxxqrrrrqvs. Give prob of sequence vr.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 11*c**2 - c + 5. Let d be q(5). Find the common denominator of 22\/3 and d\/(-4)*(-12)\/(-80).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*z**5 - 14*c*z**3 - c*z**2 - 52*c*z + 2*z**4 + 3 wrt z.\nAnswer: -60*c*z**2 - 84*c + 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5\/5 - 68*s**4 + 17438*s**3\/5 - 188408*s**2\/5 - 206184*s\/5 = 0. What is s?\nAnswer: -213, -1, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - 18. Suppose 0 = -i*d + 4*v + 31, 3*v - 8*v + 4 = d. Let q be (24\/d - 3)*-6. Is q <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -2. Let t be ((-4)\/(-8))\/(a\/(-12)). Suppose 5*c + 6 = 3*u, -u + 9 - 6 = -2*c. Sort t, c, -6 in ascending order.\nAnswer: -6, c, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 PM and 4:11 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -57, -5, -30, 14, 1, -2.\nAnswer: -57, -30, -5, -2, 0, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + -4 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = -4*d, -190*d = 3*o - 192*d for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 112121000121 (base 3) to base 9\nAnswer: 477017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-106 - (-122899)\/1164)\/((-2)\/16*5).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10569, 10141, 9433, 8445, 7177?\nAnswer: 5629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**2*w)\/w))\/(w\/w**(-8)*w))\/(w\/(w\/(w**44*w))*w**31) assuming w is positive.\nAnswer: w**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 4, x: 4, r: 2, t: 1, v: 6, d: 2}. What is prob of sequence rxx?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(y**2 - 3*y**2 + 0*y**2 + (y + 0 + 0)*(-2*y - y + 4*y) + 0*y**2 + 6*y**2 - 4*y**2 - 2*y - 2*y**2 + 2*y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16450 is divided by 2056?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -22\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 439836 divided by 410.\nAnswer: 219918\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 125797 and 882?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -62 - -107. Let t = -134\/3 + v. Determine c, given that 1\/3*c**2 + 1\/3*c**3 - t - 1\/3*c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-345)*750\/150?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 1 + 5)*(-z - 5 + 5) + (-3 - 1 + 3)*(-18 + 8*z + 18) as j*z + a and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -36189369.362.\nAnswer: -36189369.662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*y - 144 = -73*y. Solve -96*o + y = -100*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 31, 47, 63, 79?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6904*b**3 - 4109*b**3 - 6575*b**3.\nAnswer: -17588*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -6753 - -6?\nAnswer: -6745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 16, -24, -100, -224, -408?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 807.07.\nAnswer: 806.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3 - 23330*w**2 - 69976*w - 46648 = 0.\nAnswer: -11662, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25250137 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 14*u**2 + 16*u - 10. Let v be f(15). Let x(r) = 19*r**3 - 6*r**2 + 5 - 20*r**3 - v*r**2 - 11*r. Let z be x(-10). Solve 0 = 5*a - z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51 + -50.02. Let z = d + 0.02. Is 8 less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27.3 + -26. Let g = -1.1 + x. Let i be (-1)\/(-3)*(-2 + 3). Which is the nearest to g? (a) i (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1141955.45 to the nearest one thousand.\nAnswer: -1142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - n**2 - 1. Let u(j) = -9*j**3 + 2*j + 8. Let i(r) = -4*g(r) - u(r). Let c(y) = -y**3 - y**2 + 1. Let q be 3\/2*(-8)\/12. Give q*i(m) - 4*c(m).\nAnswer: -m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 9*a + 77. Let w = 1407 - 1392. Give v(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -120*f**3 + 2*f**2*x + 10*f - 9*x wrt f.\nAnswer: -720*f + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2144525 divided by -428905.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 26033955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -781 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3120*w + 134*w - 515*w + 2043*w.\nAnswer: 4782*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k - 8. Suppose 2 = 2*n + 8, 5*n = 2*r - 13. Calculate the common denominator of ((-66)\/4 - r) + k and 73\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412524247?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -121741 equal to -121741?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1387601 = 30*w + 1386851 for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o + 2*b + 20 = 0, 2*b - 17 = -37 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + a**2 + 2*a + 116. Let l be c(0). Let j be (l\/(-5))\/(((-28)\/120)\/7). Suppose 0 = -6*r + 3*r + j. List the prime factors of r.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 263.\nAnswer: 1578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 y when three letters picked without replacement from {y: 4, t: 2, v: 1}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 28 + 17 = -5*o, 14 = -4*y + 2*o for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99904687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -17877951 to the nearest 10000.\nAnswer: -17880000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164739 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100000001011100000011 (base 2) to base 7.\nAnswer: 62420353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 252 - 88. Let w(p) = 5*p - p - 156*p**2 - p**3 - 4 + u*p**2. What is w(8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*j**3*v**2 + j**3*v - 2*j**2*v**2 - 2*j*v**2 - 99*v**2 wrt j?\nAnswer: -72*j*v**2 + 6*j*v - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 7:27 PM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18841 + 18428.09. Let p = -413 - t. What is the third smallest value in 2\/3, 1.1, p?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2072 a factor of 223382320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.17 times 6\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1972*v**2 - 23*v + 56*v - 16*v - 22*v in the form b*v**2 + d*v + t and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 + 746)\/(-3)*(-247)\/26.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 17 - 4 - 9 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27632 by 2512.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10*d - 154 = 0. Suppose -o - d = -5*q, 14 = -4*o + q - 36. What are the prime factors of 119 - (4\/3)\/((-8)\/o)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 444464 - 444461.60263. Let t = 2.385 - a. What is t rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-15\/2)\/h**1 assuming h is positive.\nAnswer: h**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8120, 7903, 7684, 7463?\n\"Answer: -r**2 - 214*r + 8335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3050*z + 33260 = 136960 for z.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a*q**2*t**3 - 2*a*q - 93*a*t**3 + 12*q**2*t**3 + 10*t**3 wrt q?\nAnswer: -4*a*q*t**3 - 2*a + 24*q*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26881.866 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3535.\nAnswer: 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-18)*l)**14*l**(-1\/9)\/l**(-1\/13) assuming l is positive.\nAnswer: l**(32756\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*g + 10 = 2*v - 178*g + 103*g, 5*v = 5*g + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 58809 - 154?\nAnswer: 58665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 0, 4*m + 35 - 711 = 5*f. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110556 (base 10) to base 4.\nAnswer: 122333130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2973 - -2911 - (-31 + 0)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 178, 323, 488, 679, 902?\nAnswer: 1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1661, 1662, 1663, 1664, 1665, 1666?\n\"Answer: b + 1660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 119162935?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 3*q - 0*q + 1, -2*j = q. Suppose -7 + 27 = -4*v. Let f(x) = 3*x - 2. Let a(n) = n - 1. Determine j*f(h) + v*a(h).\nAnswer: -2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -615100 to the nearest ten thousand.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 100\/(-30)*126\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*z = 178*z - 28. Suppose -f + 2*y + z = y, 0 = f + y - 13. Suppose 5*c + f = -3*r + 3*c, 0 = -2*r - 4*c - 20. Solve r = 2*i - 4 - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-5)\/(-20)*8\/3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, y: 8, d: 3, x: 2}. Give prob of picking 1 x and 3 y.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4825?\nAnswer: 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2381 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -573*x**2 - 7*x - 21.\nAnswer: -1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 6*r**2 - 4*r + 4. Let a(g) = g**2 - g + 1. Let h(w) = -4*a(w) + m(w). Determine h(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 418\/114*(-4)\/198.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g - 27. Let q(d) = 48*d**2. What is q(l(m))?\nAnswer: 192*m**2 + 5184*m + 34992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 30499\nAnswer: -3\/30499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -129*i**3 + 2*i**2 + 3*i + 2. Let h be n(-1). Let q be (-1 + 0)\/((-5)\/h). Suppose 2*s - q - 8 = 0. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -2\/7, -16, 0.01, 2\/17, -1\/10376, 3\/8?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (29 + -24)*((-139)\/(-5) - -1). Suppose 6*k = 132 + w. Let r = 106 - k. Is r a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*r = -13, 2*o + 5*r = 9*r + 8. Calculate the common denominator of (88\/(-144))\/(o\/30) and 19\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*77\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**4 + 7*j**3 + 52*j**2 - 2*j - 2. Let f(d) = d**4 + d**3 - d - 1. Let x(q) = 2*f(q) - r(q). What is the third derivative of x(o) wrt o?\nAnswer: 96*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.2 + 15.9. Let v = s + -22.4. What is the closest to 1 in -0.1, 0.6, v?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 358 divide 144400657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of 0*w**4 + 14\/3*w**3 - 2*w - 1\/20*w**6 + 0 + 18*w**2 + 0*w**5. Differentiate h(t) wrt t.\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -740, 921, 3688, 7561, 12540, 18625, 25816?\nAnswer: 34113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 122\/(-4)*2\/6. Let b = v + 44\/3. Let y = b - 31\/6. Which is greater: -1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 675*g**2*v - 31*g**2*x + 3*g**2 + 5*g*v*x with respect to x.\nAnswer: -31*g**2 + 5*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yuyuuzkzk. Give prob of sequence uy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8*u**4 + 2*u + 5*u + 2*u wrt u?\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 523*z**2 + 3479*z?\nAnswer: 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - h + 7. Calculate c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*o + 206 + 551 = 173. Suppose 12 = w + 3*w. Put w, 2, o, -1 in descending order.\nAnswer: o, w, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100 (base 2) to base 5\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 5*s + 19. What are the prime factors of v(-17)?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-140)\/112 - 10\/8. Suppose 0 = 2*g - 0*g - 16. Suppose g - 2 = -2*w. Which is greater: w or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 30 = -3*k. Suppose 3*l + 0*l - 29 = -5*w, w + k = l. What is the greatest common factor of l and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 0 + 40*b + 0*b**3 + b**3 - 39*b to h*b + v + i*b**3 + m*b**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7262\/5 - 1452. What is the closest to h in 2, 0.061, -0.4, -0.3?\nAnswer: 0.061","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 8.5. Let z = -20 + 81\/4. Put z, 0, l in decreasing order.\nAnswer: z, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2433 + -2429. Which is the closest to 2\/9? (a) -27 (b) z (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n - 8. Let v(k) = k - 4. Let q(j) = 3*t(j) - 6*v(j). Let u(h) = -35*h**2 - 3. Give q(u(s)).\nAnswer: -105*s**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 86 + -82. Suppose -5*s = -4*u + 7, s + 15 = 4*s + y*u. What is the closest to 1 in 0.2, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from kkkkkkkkkkrkkkkrkk?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18384531089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83427 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**7\/210 - w**4\/8 + 2*w**2. Find the second derivative of g(t) wrt t.\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - 0\/(1\/((-2)\/4)). Suppose i = -2*o + 2*s + 10, -4*o + 22 = 5*s - 16. Let r(m) = -m + 3. What is r(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/34, -0.2, -19 in descending order.\nAnswer: -1\/34, -0.2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - 0. Solve 6*b - n = 4*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 313 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y + 108 = 20*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160 divided by 145?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + z + 2. Let y be r(0). Let i be (4*y\/(-32))\/((-14)\/(-4)). Which is smaller: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -702 + 764.2. Let a = 62 - f. Which is smaller: a or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2433320 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.127171mm?\nAnswer: 9127171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3592 and 7633.\nAnswer: 61064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*i = -20, m - 2*m - 5*i + 4 = 0. Suppose b = m*b - 9. Suppose 0 = -b*v + 12319026 + 3880974. What is v rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 619, 638, 661, 688?\n\"Answer: 2*t**2 + 13*t + 604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1225, -2451, -3677, -4903, -6129, -7355?\nAnswer: -8581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let g(v) = v + 26. Let h be g(-6). Let s(r) = 10*r - 2*r - 20 + h. What is s(z(l))?\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109.73 - 112.73. Let r = -0.21 - -0.2. What is the nearest to -0.1 in r, -0.4, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 423817*w + 128. Let z(v) = -2*v. What is z(u(y))?\nAnswer: -847634*y - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 830203339?\nAnswer: 7, 118600477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(6\/(-3))*(-2392)\/26. Let b = 178 - 346. What is the tens digit of (j\/16)\/((-6)\/b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 3 - (-9)\/3. Let d be 1*l\/(12\/9). Solve 6*q = d*q + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6950.007 millilitres to litres.\nAnswer: 6.950007","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 16 - f**3 - 9.\nAnswer: -f**3 + 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37.83636cm?\nAnswer: 378363.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 + g**2 + g - 1. Let u(q) = -6*q**3 - 7*q**2 - 2*q + 2. Let m(j) = 2*a(j) + u(j). Find the third derivative of m(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -9*c - 14. Let p be q(-6). Let f be (-5)\/(-2)*32\/p. Factor m**4 - 10*m**3 + 2*m**4 + 18*m**5 + 2*m**4 - f*m**2 - 11*m**4.\nAnswer: 2*m**2*(m - 1)*(3*m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.2125 take away -30971.447?\nAnswer: 31141.6595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 8.68862682.\nAnswer: -13.68862682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1152 and 7357761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.08 (b) -3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 1:40 AM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**9\/40320 + k**8\/3360 + k**7\/672 + k**6\/240 + k**5\/6 + 5*k**2. Let z(q) be the third derivative of j(q). Factor z(n).\nAnswer: 3*(n + 1)**2*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + t - 1)*(t + 2 - 2).\nAnswer: t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -571729?\nAnswer: -571729","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 106e6 (base 15) in base 11?\nAnswer: 36237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-2))\/((-2)\/(-4)). Suppose -1 = -2*i + 5*o, -2*o - 1 + h = 0. Suppose i*c - 3 = -0. Which is smaller: 4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = y - 5*y. Suppose -4 = w - 2*w. Suppose -g + 1 = 2*k + w, 3*k + 5*g = -15. Solve -s - s - y = k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -31*c**2 + 3*c + 2. Calculate p(-1).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 20 = -2*u. Suppose 0 = -u*x - 0*x + 165. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 + 2*z + 1. Let h(q) = 77*q - 56. Let n be h(12). Suppose 5*x = x - 3*k + 828, 0 = 5*x + 3*k - 1038. Let d be (-2)\/15 + n\/x. What is b(d)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100111110111011010 (base 2) in base 7?\nAnswer: 5562413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 20 = -8*s. Solve -3*t = -3*i + 30, 6*t + 30 = s*t + 4*i for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*m = 34*m. Suppose 2*j - 18 = -4*k + j, m = j + 2. Solve 0 = -4*a + k + 11 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 118 + -53 + 8 + -54?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 g, and 1 x when three letters picked without replacement from {x: 3, m: 7, p: 3, l: 2, n: 1, g: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(12))\/sqrt(6) - (2 + sqrt(98) + sqrt(98)).\nAnswer: -15*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) - (3 + sqrt(500))**2) + -3 + -1 - (((sqrt(125) - sqrt(125)*-1) + sqrt(125) - ((sqrt(10)\/sqrt(2) - sqrt(5)) + 5)) + 2).\nAnswer: -510 - 65*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.07 + 0.47. Which is the nearest to 0.1? (a) s (b) 2\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**3 + 22*c**2 - 33*c + 29. Let a = -75 + 52. Let j be m(a). Is j + 0 + 1\/1 + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 1)\/((-2)\/(-14)). Suppose -4*q + 1 = -2*b + t, -5*b + 15 = -3*q. Which is greater: b or -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10038 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1049*z + 1051*z - 94 = -6*j, 6*z = 2*j - 58 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in -3\/5, -7, 0?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 62. Let z be (1\/4)\/((-5)\/k). What is the third derivative of 5*v**6 - z*v**6 + v**6 - 2*v**2 - 4*v**2 wrt v?\nAnswer: 480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s**2 + s + s + 3*s)*(12 + 40*s + 6 + 1 - 24) to y + r*s + g*s**3 + o*s**2 and give g.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0464771 and -1?\nAnswer: 0.9535229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/20 and 59\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 607023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -473 greater than -474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 114619*n\/4 + 802235\/2.\nAnswer: (n - 114605)*(n - 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -4.01.\nAnswer: -9.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - -2)*(2 - 1)*2. Suppose 3*i - 2 = 3*o + 28, p*i - o - 17 = 0. Suppose -8*z + 10 = -i*z. Solve -f = 0, -2*w - 2*f + 0*f = -z for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and 0.02?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -9*i - 5. Give m(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 5*c**3 + 3505*c**2 + 619475*c + 1827015 = 0.\nAnswer: -349, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 19.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 + 2*x + 1. Suppose -11 = 3*d + 2*z - 0, 11 = 5*d - 4*z. Let y be c(d). Is 3 a factor of (-2)\/y - 212\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 13*j = -36. Suppose 0 = -j*i + 184 + 32. Does 3 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12024, 10566, 9108, 7650?\nAnswer: 6192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 858 and 48510418?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r**2 - 6*r + 1. Let g be c(5). Let d = g + -28. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -397253*i + 200286*i + 214450*i to a*i + g and give a.\nAnswer: 17483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 49830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**4 - 2*a**2 - 40 + 0*a**4 + 116*a**3 - 47 - 50 + 135 to the form r*a**2 + p*a + d*a**4 + m + g*a**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 318 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1362, 1368, 1388, 1440, 1542, 1712?\n\"Answer: 3*y**3 - 11*y**2 + 18*y + 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -2531*p**2 - 2. Let t(w) = 15*w. Give i(t(q)).\nAnswer: -569475*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c**2 - 96*c + 32. Let y(w) = w**2 - 24*w + 8. Let h(s) = 2*k(s) - 9*y(s). Does 12 divide h(22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18979 (base 11) to base 5\nAnswer: 1321324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfhh when four letters picked without replacement from {i: 2, b: 1, f: 1, h: 8}?\nAnswer: 7\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*g + 370 + 939. Let y = 3 - 0. Suppose 28 - 194 = -2*p - 5*q, -y*p - 5*q = -254. Calculate the greatest common factor of g and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 79*d. Let m(v) = -23784*v. Determine m(r(b)).\nAnswer: -1878936*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 5*b + 31 = 0, -3*l + 0*l + 3*b = -3. Suppose -2*n = l*g + 4, -7 + 3 = -5*n - 3*g. Calculate the remainder when n is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i - 27 - 32 - 13 + 72.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 5*g**2 + 5. Let v be j(5). Solve -v*l + 8 = -7 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-294))\/((-2)\/(-14)*-2)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + z - 4*z = -4896, 20 = -4*z. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/3 + 4\/3. Let q be (-3)\/z + 85\/20. Suppose -96 + q = -4*m. List the prime factors of m.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30114410 (base 5) to base 12\nAnswer: b61a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3 + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-381)\/(-132) - (-2)\/8 and -15\/8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 - 357*v + 0 + 402*v.\nAnswer: 45*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 0 - 1452\/(-374). Let r be 0\/1 + 0 + -1. Is r > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 705279 - 705286.69702. Let h = 5.8 + 1.9. Let a = o + h. Round a to four decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547 greater than or equal to 565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 + 9 - 4*h**2 + 4*h**2 + 2*h**3 - 3*h**4 in the form v*h**2 + w*h + i*h**4 + x + t*h**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a microgram in nanograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4692 to the nearest one hundred.\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -210 + (-12)\/(1 + -5). Let k be 3\/2 - x\/(-6). Let l = 50 + k. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 5 = -20*s. Which is the second biggest value? (a) 3 (b) 0.11 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -240 - -1030?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 352 in decreasing order.\nAnswer: 352, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 297. Let f(q) = -2*q. Let y(h) = -9*h + 1327 - 1327. Let v(c) = 4*f(c) - y(c). What is r(v(i))?\nAnswer: -i**2 + 297","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2 = -4. Suppose -b*s + 132 = s. Suppose -2*t = -204 + s. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**5 - 4*i**5 - i**5)*(-2 + 5 - 2) + (18*i - 35*i - 44*i)*(335*i**2 - 23*i**4 - 335*i**2).\nAnswer: 1400*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.056*-0.3\nAnswer: -0.0168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -9*u + 160. Let r = u + -41. What is the units digit of (10\/(-25))\/(r\/110)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 v, 1 x, and 1 s when four letters picked without replacement from xvmxuxuxxossu?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 658.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7 or 474?\nAnswer: 474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 3*x**2 - 2*x**2 - 881*x**4 + 882*x**4 - 2 as u*x**4 + i*x + y*x**3 + t*x**2 + l and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**3 - 9454*l + 9454*l.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -29, -47, -67?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = w - 2*w. Let a(r) = 253*r - 15431. Let o be a(61). Solve -5*z = 2*q + 30, -z = o*q - 5*q - w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 93, 1, 3, 2, -283, -5, 4 in descending order.\nAnswer: 93, 4, 3, 2, 1, -5, -283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/57)\/(2\/(2\/(-1)))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35371*t - 38005.\nAnswer: -35371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6853 is divided by 176.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -2*t + 3, -2 = -t - 2*x + 2. What is the remainder when t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**5 - 396*u**3 - 456*u**2 wrt u?\nAnswer: 120*u**2 - 2376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4925*s**5 - 9*s**4 - 10*s**3 + 3*s**2 - 707475*s wrt s?\nAnswer: -295500*s**2 - 216*s - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 x, and 1 b when four letters picked without replacement from xoyoybbymmmoxmyoy?\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 3*r + 3 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3 - g = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 + 11*r**2 - r**2 + 12*r**2 in the form c*r**2 + u*r + d and give c.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 57\/(-51) + 2\/2. Let x = w - -21\/34. Let r = -0.4 + 1.4. Put x, 0, r in descending order.\nAnswer: r, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4373*a + 452. Let r(q) = -54663*q + 5649. Let y(i) = -5*r(i) + 63*t(i). Let j(s) = 19*s - 2. Determine 231*j(k) + 2*y(k).\nAnswer: 21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. Solve -3*r + 12 = z, -d + 2*r = r + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -41869, -41867, -41865, -41863?\n\"Answer: 2*i - 41871","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20771, 41542, 62311, 83078?\nAnswer: 103843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 10:47 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 5, -1, 902, -0.2, -3.86?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d*n**3 - 5*d*n - 3*n**3 - n**2 + 3 wrt n?\nAnswer: -42*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 6820284?\nAnswer: 6820283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 412 - 4357 = 0. What is the common denominator of h\/(-2760)*-1 + (-24)\/(-60) and 41\/18?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (336\/560)\/(2\/(-10)*-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 758881 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-8))\/((-6)\/(-24)). Suppose 2*c - t*m - 103 = 0, 0*c = 2*c + 4*m - 82. What are the prime factors of c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2 + 2*l - 7*l**2 - 3 + 0*l. Let p(t) be the second derivative of -5*t**4\/6 + t**3\/2 - t**2\/2 + 3002*t. Calculate -5*p(w) + 7*v(w).\nAnswer: w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65601 = -1421*i - 18238 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3533222991.8 and -5.\nAnswer: -3533222996.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1534.2387 months in decades?\nAnswer: 12.7853225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - -12 - (6 + (0 - 29))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qvqqvqq. What is prob of sequence vq?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.563445 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 0*p - 1\/105*p**7 + 4*p**2 + 0*p**4 + 0 + 0*p**6 + 1\/20*p**5 + 0*p**3. Find the third derivative of x(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -35. Suppose h*u - 3*f = -0*f + 17, -5*f = 2*u - 41. Suppose 0 = -6*d + u*d - 178000. What is d rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert de5d (base 16) to base 3.\nAnswer: 2220002100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 873637077.5 rounded to the nearest 10000?\nAnswer: 873640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 + 1.1. Let a = -0.09 + 4.09. What is the biggest value in w, a, -1\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-5)\/(-7375))\/(1\/(205\/41)).\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 greater than 38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*m + 214. Let f = -55 + m. Is f a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*p**3 - 7*p**3 - 2*p**4 + 5*p**3 - 9*p**2 wrt p.\nAnswer: -48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 8. Calculate the remainder when (i\/(-9) - 1)*-33 is divided by (-34)\/(-2) + (-4 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(170) - sqrt(170)*2)*4 + sqrt(170) - sqrt(170))\/((sqrt(120)*1 + sqrt(120))\/sqrt(12)).\nAnswer: -2*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 2*k = 24, -31 = -3*o - 4*k - 0. Suppose -5*p + 4*p = -17. What is the greatest common factor of p and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -23. Let f be (6\/12)\/(t\/(-4)). Which is smaller: 0.1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24186, 48579, 73366, 98745, 124914, 152071, 180414, 210141?\n\"Answer: 33*u**3 - u**2 + 24165*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/20448 and -93\/1808512?\nAnswer: 16276608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12525 and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 607686, 607660, 607634?\n\"Answer: -26*n + 607712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*y - a, -8722*y + 5*a = -8730*y + 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1\/18 + 4\/9. Let d = 0.6 + -0.9. What is the closest to b in -5, d, -3\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -2*h**6\/15 - h**5\/20 - 18*h**2 + 78*h - 2. Let n(z) be the first derivative of o(z). Differentiate n(d) wrt d.\nAnswer: -16*d**3 - 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/4))**(-3))**(5\/13)\/((q*q\/(q\/(q*q\/(q**(-6)\/q)))*((q\/q**(-2))\/q)\/q)\/(q\/q**(-1))**(7\/9)) assuming q is positive.\nAnswer: q**(-4555\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - q - 4*q + (-2*q + q - 2*q)*(2 + 0 - 3) - 6*q + q + 2*q + 0*q + q - 2*q - 5*q + 3*q + 4*q + (-q + 2*q + q)*(6 - 5 + 0).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 4*c**3 - 6*c**2 + c + 2. Let d(y) = 17*y**3 - 26*y**2 + 5*y + 7. What is -2*d(x) + 9*n(x)?\nAnswer: 2*x**3 - 2*x**2 - x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 2 - -4 - 3 - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13\/h)\/h**3)\/(h*h**(-2))**(-7) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311 - -325. Suppose b = -r + 15. Let v = 1 + -1. Put 0.3, -1\/8, b, v in ascending order.\nAnswer: -1\/8, v, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18 - 5) + (-3 - 0). Let v be ((-6)\/5)\/((-4)\/c). Suppose 3*x - 3*p = 27, -p + 4*p - v = 0. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 6:58 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/(((-10)\/15)\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/2*12\/(-10). Suppose 33 = 2*c + f. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5584? (a) -5 (b) -1\/4 (c) 2\/13 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52543503 (base 6) to base 16.\nAnswer: 17775f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 14 = -1264*w + 1265*w, -10 = -3*g + w for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/(-3))\/((-3)\/(-9)). Suppose x - 37 = -4*h. Let v = h + 47. Is v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315*d**4 + 3*d**3*p + 88*d**3 + 2*d*p + 2*d + 121191*p - 36 wrt d?\nAnswer: -3780*d**2 + 18*d*p + 528*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/11))**(3\/25)\/((t*t*t**(-7\/2))\/t**(2\/13)) assuming t is positive.\nAnswer: t**(11981\/7150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/876710 and 71\/30.\nAnswer: 2630130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -128 (b) 1 (c) 2\/11 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 1\/6*d**4 + 4 + 2\/5*d**5 + 0*d**2 - 14\/9*d**3 - 1\/9*d**6 + 8\/3*d. Find f such that u(f) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 6. Let y = o + 11. Let s(b) = b**2 - 8*b + 11. Is 4 a factor of s(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -41 and -0.19934 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 382 = -5*w - 4*v, 0 = -5*w + 2*v + 394. Solve -w*j = -89*j - 44 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -0.46, 5 in descending order.\nAnswer: 5, -0.46, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 726.94637 to one dp.\nAnswer: 726.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (sqrt(102)\/sqrt(3) - sqrt(34)))*-2)\/(sqrt(320)\/sqrt(10)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 134*t**2 + 2. Let v(o) = -670*o**2 - 11. Calculate 11*c(w) + 2*v(w).\nAnswer: 134*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -279*m**4\/4 - 320*m - 87. What is the first derivative of j(w) wrt w?\nAnswer: -837*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464373941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-15) + (-1)\/((-6)\/4). Which is smaller: 9\/14 or z?\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 11\/4 of a century?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32950*k + 12624 = 32424*k for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from {s: 14, q: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*t - 15*t. Let o be t - 4\/(-8)*4. Suppose -s - 4*q = -5*s + 8, -5*q + 35 = 4*s. Which is smaller: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.2575231 to 2 dps.\nAnswer: 3.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + -10 - (-20 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 38*u**3 - 6*u - 2. Let l(v) = 115*v**3 - 18*v - 7. Determine -2*l(h) + 7*r(h).\nAnswer: 36*h**3 - 6*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 18340*o**2 - 990364*o + 210. Give s(54).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10710 and 100?\nAnswer: 107100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 105 - 90. Suppose -4*h + 17 = -5*l - 70, 5*l + y = 0. What is the remainder when 75 is divided by h + -14 - (-11 + 1*-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 3*a + 5*v, -v = -5*a - 3*v + 64. Suppose -a*c + 25 = -7*c. Solve c*l = 20, -4*l = h - 3*l - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -44, -58, -76, -98, -124, -154, -188?\n\"Answer: -2*f**2 - 8*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of 101*s**4\/12 - s**2\/2 + s. Let z be h(-1). Suppose 3*i + z = 8*i. Calculate the remainder when 58 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2934, 2935, 2936, 2937, 2938, 2939?\n\"Answer: b + 2933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1884, -5905, -12100, -20469, -31012, -43729, -58620?\n\"Answer: -1087*r**2 - 760*r - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6546, 34, -30 in ascending order.\nAnswer: -6546, -30, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-5 + 5)\/1. Let d be (-12)\/(-8)*2 - -36 - c. Suppose -5*j - d = -571. What are the prime factors of j?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((414\/81)\/(-23))\/((-9)\/(-15552)*-8).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/2, 0.02, -3, -37\/26, -5, 8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -15. What is the first derivative of 3*d**4 + 0*d**z + 6 - 2 + 0*d**4 wrt d?\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 9204?\nAnswer: 92040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xnpznnxnppppxnxxn.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/144)\/(((-20)\/16)\/(-5))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -20296899.1 plus -9?\nAnswer: -20296908.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - 0 - (-58 + 53).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (8\/(-2) + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(117) + 1 - ((sqrt(117) - (sqrt(117) + -1)) + -2) - (sqrt(117)*2 + -3 + -5))*-4 + 3.\nAnswer: -48*sqrt(13) + 83","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a = -316231 - 153224. List the prime factors of a.\nAnswer: 5, 17, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(243) + ((sqrt(243) + -3)*2)**2 + sqrt(243) + ((-3*sqrt(6))\/sqrt(2))**2 + -4)*-1.\nAnswer: -990*sqrt(3) + 5155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - 73. Calculate the remainder when 47 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -0.2. Let s = -0.4 - -0.6. Let l = -0.7 + s. Which is the third smallest value? (a) l (b) d (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5*l - 313 = 0, 2*n - 242 = 65*l - 70*l. Calculate the remainder when 355 is divided by n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -40*b + 7. Let s(a) = 81*a - 13. Let w(l) = 11*d(l) + 6*s(l). Is w(1) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/15*5\/(-19). Let d = -12.377 + 12.3. Let u = d - 0.323. Which is the biggest value? (a) 2 (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 1317280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 10:48 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*c - 77*c - 4 + 4 + 35*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 22*h**2 + 5*h - 10. Let b(r) = -217*r**2 - 49*r + 98. Let v(k) = 5*b(k) + 49*j(k). Let g(u) = -14*u**2. Give g(v(s)).\nAnswer: -686*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*k + 6*k + y + 14, k = 3*y + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kktkkdddtdkt. Give prob of sequence kkd.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2 + -1*(sqrt(468) + -1*sqrt(468) - sqrt(468))*4 + 4 + (sqrt(468) + 0 + sqrt(468) + 3 - (0 + 1*sqrt(468))))**2.\nAnswer: 480*sqrt(13) + 11764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-333)\/(-36))\/(1\/4). Suppose -5*g - 14 = -4*n + 33, -g = 5*n - d. Solve 2*u + 7 = l, 3*u + 9 = -5*l - n for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1*sqrt(2) + 3 + -3) + -1.\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27.59468km?\nAnswer: 27594680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + 5*(0 + sqrt(19)) - (5 + sqrt(57)\/sqrt(3))**2.\nAnswer: -44 - 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 5 = -g. Solve -4*t + 5 = -g*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*x**3*y - 65*x**3 + 88*x*y - 2*x + 8*y wrt x.\nAnswer: -60*x*y - 390*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 3*m + 108, 127*z - m - 37 = 376*z - 124*z - 124*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -4*s + 0*s**4 + 0*s**3 + 0*s**6 - 1\/147*s**7 + 0*s**2 + 0 + 1\/70*s**5. Suppose a(m) = 0. What is m?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -3*d**7\/70 + d**5\/5 - 9*d**2\/2 + 12*d. Let j(n) be the first derivative of z(n). Find the third derivative of j(f) wrt f.\nAnswer: -216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 123\/14, -0.045, -26 in decreasing order.\nAnswer: 123\/14, 4, -0.045, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -1\/60*i**5 - 1\/8*i**4 - 20*i**2 + 0 + 0*i - 1\/6*i**3. Let q(t) = t**3 - 5*t**2 + t - 6. Let w be q(5). Determine j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**0*d\/d**(-5)*(d*d**(2\/3))\/d**4 assuming d is positive.\nAnswer: d**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u - 1. Let k be w(1). Let d be (-1 + k)\/((-10)\/(-5)). What is the common denominator of 27\/8 and (d + 2)\/((-42)\/12)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18803 - 12932. Is 52 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 19*o**2 + 5*o + 3. Let s(j) = -j**2 + 1. Let p(i) = 11*i**2 + 3*i. Let z(d) = -p(d) - s(d). Let q(g) = 6*a(g) + 11*z(g). Is q(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 + 3*q**2 + q + 4. Let d be g(-3). Suppose -3*z = -z + 12. Let x be z\/21 - (-10)\/7. Is d >= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1316 and 96645724.\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 366930 + -48930. What is d rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -558797*f + 558797*f + 0*f**2 + 2*f**2 - 3*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-210)\/(-24))\/(1\/(-13)*(-169)\/52)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.04239932 rounded to zero decimal places?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 69 - 91. Let r be (-1 + 2)*7\/((-7)\/q). Let n = -20 + r. Solve 0 = -0*p + n*p - 6 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1583a (base 13) to base 16\nAnswer: 9ff3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 102. Find the common denominator of j and -12\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2184)\/(-10192))\/((-4)\/32*6).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -7 in descending order.\nAnswer: 6, 4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01907 - 1.01907. Put -3, -0.1, r, -9\/4 in ascending order.\nAnswer: -3, -9\/4, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 16*l**3 - 4848*l**2 + 3*l - 928. Calculate b(303).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 9*j = 0. Suppose 0 = -j*k + 2*k - 28. What is the highest common factor of 70 and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*i = y + 40*i - 2, -3*i + 4 = 2*y. Solve 0 = 5*l - n, -y*n + 4*n + 10 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2327309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 36.28384g?\nAnswer: 0.03628384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -5\/2, 20\/21, -26, -2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2325 - 2336. Let r(x) = x**3 + 11*x**2 - x + 3. Give r(n).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/4? (a) 2\/7 (b) 5 (c) 1\/115200 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 198525 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3757*v - 8213 + 5616 = 3966*v + 14332 for v.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 72804463?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2655 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 14\/901, -432, -3, 1, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 60282743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2341664, 2341659, 2341654, 2341649, 2341644, 2341639?\n\"Answer: -5*r + 2341669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 277*v - 3 - 146*v - 133*v. Give p(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 106?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21980 - 13153. What is the common denominator of (2\/14)\/(156\/k) and -1 + 2*(-254)\/48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 15159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2257, 2261, 2279, 2317, 2381, 2477?\nAnswer: 2611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*o + 96, -k - 4*k + 240 = -5*o. Calculate the remainder when 239 is divided by k.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 589943 + 1b?\nAnswer: 589961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 129\/2, -0.4 in decreasing order.\nAnswer: 129\/2, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 + -2)\/((-3)\/3). Suppose -3*b - 1 = -4*b. Which is smaller: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**8\/56 - 3*y**6\/4 + 12*y**5 - 9*y**2 + 31. What is the third derivative of t(n) wrt n?\nAnswer: 360*n**2 - 540","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2 - (-52)\/24)*(-7 - -8)*542406.\nAnswer: 90401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fbffmrbbmblo. What is prob of sequence mrl?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15)*(-2 - 0). Put 1, -4, -2, l in decreasing order.\nAnswer: 1, l, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -g + 2*o - 7*o, 5*g = o + 5. Suppose -g*f + 3*y - 8*y = -21, 24 = 2*f + 2*y. Solve -3*i - f = -4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-5))\/2*(-10)\/(3*-20)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(sqrt(544)\/sqrt(2))**2)*4 - ((sqrt(102)*3*-1)\/(-3*sqrt(486) + sqrt(6)))**2.\nAnswer: 4410071\/676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 597363 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 569*c + 15217. What is g(-28)?\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + y + 7. Let l be q(0). Suppose 0 = -l*r + r + 318. What are the prime factors of r?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2768 + -26?\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 6 = 2*l. Let c be -2 - (-4)\/l*-4. Suppose 10 = 3*h + 4*u, h + 5*u + 8 = -7. Solve -3*v - 5*q + c = 0, 2*v + 3*q - h = -3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 651240, 1302411, 1953582, 2604753, 3255924, 3907095?\n\"Answer: 651171*j + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 36*z**2 - 1379*z + 19282. Give d(15).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 197330.6 decades?\nAnswer: 19733.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*(-2)\/(-66976)*91?\nAnswer: 1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*f**3*n + 369102*f**3 - 382*f**2*n - 52*f*n wrt n?\nAnswer: -21*f**3 - 382*f**2 - 52*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -6*x - 4, 9*a - 2*x + 22 = 5*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -85.3584982 minus -73.5?\nAnswer: -11.8584982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12944446 is divided by 216.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*f - 26*f + 4 - 19*f)*(-416*f**2 - 619*f**2 + 216*f**2 + 269*f**2 - 504*f**2).\nAnswer: 6324*f**3 - 4216*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/3 and -53\/187415477.\nAnswer: 562246431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1.1, 33, -3395?\nAnswer: -3395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 3*h = 0, -w - 5*h - 7133 = -7125 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + 0. Suppose r*c = c. Suppose 5*g + c*g + 169 = 4*l, l - 45 = 4*g. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32b716 (base 14) to base 10.\nAnswer: -1721880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let w = -3.27 + 2.8. Let q = 0.17 + w. What is the closest to y in q, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 5, o: 1, x: 3}. Give prob of picking 1 o and 1 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.2829 + 43.4.\nAnswer: 61.6829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 63.6433 to 0 dps.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*o + 28 = 17*o. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 4:05 AM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177146 is divided by 44279?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3256)\/(-9108) + 8\/(-18).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + y - 1 + 6 + (-2 + 2 + y)*(1 - 4 + 1)*(-11 + 17 - 24).\nAnswer: 37*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -9*y**2 + 35*y + 11. Let p(o) = -4*o**2 + 17*o + 5. Let g(v) = 3*f(v) - 7*p(v). Let w be g(7). Let i = -155\/3 - w. Is -34 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 16*j + 3*u - 35, 0 = -3*j - 2*u + 55. Suppose j*x - 5432 = -9*x. Is x a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1206902335?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.808023 years?\nAnswer: 0.8808023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13702*z**3 - 1904*z + 14850*z**3 - 196*z**4 - 100*z**2 - 340*z**2 - 480 = 0. Calculate z.\nAnswer: -6\/7, -2\/7, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*l + 4*l - l)*(2*l**2 + 3*l**3 - 2*l**2) - 1005 + l**4 + 40*l + 9*l**2 + 1005 as b*l + w*l**2 + z*l**3 + x*l**4 + v and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 14*x + 67. Let b be p(-17). Suppose -f + 15 = -3*k, f = k + k + b. Calculate the remainder when 50 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**4\/7 + 34250*t**3\/7 + 145997274*t**2\/7 - 5446480834*t\/7 + 1472671220 = 0 for t.\nAnswer: -8581, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7\/(-2)*4\/(-2). Suppose -5*i + y - 3 = 0, 4*y - 5 = 5*i + r. Solve -2*j - j = i for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11.89861 - 0.10139. Which is the closest to g? (a) 2 (b) -19 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -13\/2 in -5, 76\/3, 0, 2\/9, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37645277489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 77?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -1\/30*j**5 - 5\/24*j**4 + 0 - 1\/6*j**3 + 0*j - 96*j**2. What is c(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 + 128*f**2 - 8*f + 626. Let m be h(64). Put -0.4, m, 2 in descending order.\nAnswer: m, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10173212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 25 = -10*q. Put 0, q, -1 in increasing order.\nAnswer: -1, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - l = -24273, 5*b + 4483 = l + 125872. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 36*s + 4. Let x(p) = -2*p - 1. Let z(r) = d(r) - x(r). Let k(w) = -w - 2. Let b(o) = -k(o) + z(o). Differentiate b(c) with respect to c.\nAnswer: 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, q: 1, c: 1}. What is prob of picking 1 c and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2871 divided by -2871?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 less than -464.0767574307?\nAnswer: -466.8767574307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-56)\/256*-20 - 12\/16)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -141, -53, 31 in descending order.\nAnswer: 31, -53, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 175 - 371 = 0. Let w = -75 - v. Suppose 0 = w*m - 11*m - 360. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -282, 1 in descending order.\nAnswer: 5, 1, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (55 - 40) - 17\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 253861625\nAnswer: 1269308125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*z - 14 + 22 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 113280.\nAnswer: 113280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5355 plus -455?\nAnswer: -451.4645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1202384, 2404777, 3607172, 4809569?\nAnswer: 6011968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s + 1. Let y(g) = 3*g. Let r(j) = -4*w(j) + 3*y(j). Let u(b) = 6*b + 7. Let c(z) = -10*r(z) - 6*u(z). Let h be c(-1). Solve h = -2*x - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 11*i**2 + 11*i - 28. Let d be m(-12). Let c be (1 - -6)*d\/(-336). Let -c*t**3 - 1 - 5\/3*t**2 - 7\/3*t = 0. Calculate t.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + 3. Let f(l) = -38*l**2 + 46*l**2 + 7*l**3 - l**3 - 2*l**3 - 5*l**3 - 6*l + 2. List the prime factors of f(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7563 - -4?\nAnswer: 7567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d. Suppose -3*p - 6 = 3. Calculate the remainder when -1*-3*(8 + p) is divided by w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 4*z**3\/3 + 49. Let p(c) = -49*c. Calculate u(p(h)).\nAnswer: 9604*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-4)*(-448)\/(-3920)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28.8 * 221404.\nAnswer: 6376435.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11769898 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -91000 divided by 8?\nAnswer: -11375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*8\/6. Let l(k) = -4 + u + 2 + k**2. Let r(c) = 3*c. Determine r(l(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.517 + -87.059. Let i = -104.8601 - h. Let s = i - -6.3. Round s to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 194655839 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 + 27 - 7067*w**2 + 7069*w**2 - 4*w + 28 + w in the form s + x*w**2 + y*w and give s.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/3)\/(8\/(-24))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/9*-6*(-1136)\/(-128)*-12\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 70 = 69. Suppose -2566 = 5*o - a, -m + 0 = -a. Round o to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**4 - 3*z**3 - 3*z - 3. Let k(q) = q**4 - q**3 - q. Let d(n) = 6*k(n) - 2*r(n). Find the first derivative of d(o) wrt o.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103*n + 105*n - 38 + 179)*(-1 + 0 - 2).\nAnswer: -6*n - 423","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9, -11, -13, -15?\n\"Answer: -2*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 - 8*v**2 - 10*v - 12. What is n(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 1 = -21, 5*a = h + 371. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 12) to base 9\nAnswer: -45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 7 - 2*h**2 + 2*h + 3 to the form g + l*h + f*h**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(-6*(sqrt(343) + sqrt(7)) - sqrt(7)).\nAnswer: -sqrt(2)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 19*b + 5 + 11*b)*(3 + 1 - 6).\nAnswer: 18*b - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 71 + 53. Solve 2*j - m - 4 = s, 4*s = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 0.1 (b) 1017 (c) -3.7 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 45 - 45)*(2*l - 6*l + 11*l) in the form m + g*l + n*l**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -358 and 9584.\nAnswer: -3431072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 10. Suppose 3*y = c*b + 184, 4*y - 76 = 3*b + 171. What is the remainder when y is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = -4*q, -4*c + 6*q + 20 = q. Solve -11 = c*r + 4*j, 2*j - 6*j + 13 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 390?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (118\/177)\/(-2*1)*21?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23 and -575?\nAnswer: -132.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c + 5433*g = 10870*g - 5440*g + 18, 0 = 2*c - 3*g + 39 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*d - 127 = -457 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 57\/38*(-44)\/(-6). Let q(d) = d**2 - 12*d + 5. Give q(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119790 and 24618.\nAnswer: 44681670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -472*d = -478*d + 194946. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*s**3 - 16*s**3 - 34*s**3)*(-2 - 4 + 4) + 3*s**3 + 43*s + 1 - s**3 - 21*s.\nAnswer: 76*s**3 + 22*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9839411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16446523 by -6.\nAnswer: -16446523\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-4 + ((sqrt(104) - -5*(2*sqrt(104) - sqrt(104)) - sqrt(104))\/(sqrt(80)\/(sqrt(40)\/sqrt(4))) - -1*(sqrt(1053)*1 + -3)**2)).\nAnswer: -49*sqrt(13) + 1058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -3*w - 9, 4*w - 8 = -3*n + 5. Let r be (0 + w)*8\/(-4). Let z be 4\/50*5\/4. What is the biggest value in z, r, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 - (53 + (-29 - -27)) - (19 - 1)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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: Put 4, 1, 13, -0.1 in decreasing order.\nAnswer: 13, 4, 1, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -25)*13\/(104\/(-150)). Suppose g - t = -24*g. Calculate the smallest common multiple of 10 and g.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29314.59 - 0.2.\nAnswer: -29314.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 409, -6, -3, -14, 33, -5 in increasing order.\nAnswer: -14, -6, -5, -3, 33, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 5*w**5 - 64440*w**4 + 515275*w**3 - 965960*w**2 - 515280*w + 1030400 = 0.\nAnswer: -1, 1, 4, 12880","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/403 in -2\/5, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2084.\nAnswer: 2, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34971 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1421712 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1118 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 24.723883 and 6.\nAnswer: 30.723883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*t + 2227 = -216*t - 2599 for t.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 11*u**2 - 9*u + 16. Let r be k(-10). Let z = -2 + r. Let i(t) = -t**3 + 7*t**2 - 5*t - 4. Let g be i(6). Which is smaller: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**5 - 42*x**4 + 153*x**3 - 150*x**2 - 132*x + 216.\nAnswer: 3*(x - 9)*(x - 2)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -976717, -976801, -976929, -977095, -977293, -977517?\n\"Answer: a**3 - 28*a**2 - 7*a - 976683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29038284.\nAnswer: 2, 3, 11, 24443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6561 - -9724. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*g - 4)*(-45 + 412 + 486).\nAnswer: -1706*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-10))\/((-56)\/(-1092)*-3)?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 12 (b) -0.3 (c) 0.1 (d) 7\/6 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n + 0*n + 0*n + (-191 - 92 - 161 + 130)*(4*n + n - 2*n).\nAnswer: -939*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.1 + 5.1. What is the biggest value in 2\/7, z, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z*z\/(z\/(z**(1\/3)*z))*z))\/(((z*z**(-2\/7))\/z)\/z))**(1\/62)*((z*z**1)\/z)**(-6\/11)*(z**(1\/2))**(-2\/21) assuming z is positive.\nAnswer: z**(-405\/682)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + -22 - (0 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m = -m + o + 20, 2*o - 5 = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3))**(-49)*d**(2\/15)\/(d\/(d*d**(-1)*d)) assuming d is positive.\nAnswer: d**(-81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + t - 4 = 0, 8 = 2*t - 0. Suppose f = -4*q + 6*q - 68. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, k: 10}. What is prob of picking 3 k and 1 w?\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34192152 and 1296?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-3\/4)*x)\/x*x)\/x*x*x\/x**0)**(3\/38) assuming x is positive.\nAnswer: x**(15\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 112, 175, 320, 589, 1024, 1667, 2560, 3745?\n\"Answer: 7*w**3 - w**2 + 17*w + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-2))\/((-18)\/(-9))*-5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -51*m + 1. What is the remainder when q(-1) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 82312739*p**2 + 998*p + 11726.\nAnswer: 164625478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -10. Suppose -w - b = -2*w + 2, 5*b = r*w - 14. Let t be (-9)\/12*(-8)\/w. Which is smaller: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(145*b**5 + 224*b**2 - 224*b**2).\nAnswer: 145*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -1, -3, 3, 1\/23, -40\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 30 (b) -2\/11 (c) 0.5 (d) -6.94902\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 486\/66 - (-324)\/44\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 + 33*x - 36. Let t be p(3). Let j(w) be the second derivative of t - 5\/3*w**3 + 3\/2*w**2 + 1\/12*w**4 - 4*w. What is j(9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*s**2 - 5*s**2 + 0*s**2)*(-4 - 1 - 1)*(-31 + 0 + 3)*(-194 + 132 + 179) to the form g*s**2 + k + q*s and give g.\nAnswer: -39312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-127 + 240 - 104) + -41.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + l + 3, -k + 4*l = -177 + 180 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -226 + 230. Suppose d*k - 20 = m, 8*m - 4*m = -16. What is x in 32\/5 + 102\/5*x**k + 14\/5*x**5 + 56*x**3 + 192\/5*x + 352\/5*x**2 = 0?\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 2*a - 1. Let u be v(-3). Calculate the lowest common multiple of u - (2*-2 + 2) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 1. Suppose -3*q - 1 - 7 = -5*s, -5*s + 20 = 0. Let y(f) = -3*f**2 + 10*f - 27. Let b(v) = q*x(v) - 2*y(v). Determine a, given that b(a) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*z = -22, -25 = -2*h + 3*z + 2*z. Suppose -v = 4*v + q - 58, -h*q = -15. What is the remainder when 62 is divided by 25\/30*v - (-2)\/(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -452456 - -765386. Let k = -312914.00055 + z. Let f = k + -16. Round f to 4 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4116844*g**3 - 2*g**2 - 6311638*g wrt g?\nAnswer: 24701064*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**3 + 2*x**2 + x + 2. Let k(s) = s**2 + s + 1. Let n(b) = g(b) - 2*k(b). Suppose 3 - 2 = -q. What is n(q)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44218.0053222 - 44218. What is m rounded to 5 decimal places?\nAnswer: 0.00532","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m**2 + 248*m + 21112. Calculate l(182).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n, 2*n - 12 = -3*v - n. Suppose o - v*o - r = -62, -81 = -4*o - 3*r. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 g when two letters picked without replacement from jjjjjlgjjkjj?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13269.9 - -13995. Let m = -760.9604 + -0.0396. Let v = k + m. Round v to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**4 + 5862*c**3 - 2886939*c**2 + 22814904*c - 45442992 = 0. What is c?\nAnswer: 4, 973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -1) + (-10 - 0 - -29 - 13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 2*f - 3*f**2 + 4 + 3*f. Let x be k(5). Let i = x + -4. Solve 2*c - 4*c - 8 = i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -379*c - 2004*c = 523*c - 142394 for c.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 170 and 34?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f + 1. Let a(d) = -43*d - 45. Let h(r) = a(r) + 2*o(r). Is 10 a factor of h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -239, -969, -2187, -3893, -6087?\nAnswer: -8769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917046 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2144 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7485 + 164579\/22. Let a = -3077\/80 - -439\/10. Calculate the common denominator of a and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-195)\/52*(-16)\/(-12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 672 and 2076?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5570, -5592, -5630, -5690, -5778, -5900, -6062?\n\"Answer: -j**3 - 2*j**2 - 9*j - 5558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -67*a - 407 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wv when two letters picked without replacement from wvjwvvjujjvuvwvwvvv.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -60254a + -1?\nAnswer: -60254b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 33*p**2 + 17*p + 15. Let y be d(-16). Sort 4, -5, y, 629.\nAnswer: -5, y, 4, 629","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 0.85. Let r = 2.05 + z. Let a = 4 - 5. What is the nearest to a in r, 1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5. Let p(h) be the third derivative of h**3\/3 + 2*h**2. Let a(k) = k**2 - 5*k - 4. Let r be a(6). Determine r*j(u) + 5*p(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 - 31. Suppose -q = -p - 3, 2*p = -d*q + 5*q - 21. Suppose -20 = -q*g, 0*g = -j + 2*g + 9699992. What is j rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1470 divided by -10.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 14 - 5*q**2 + 12*q**2 - 3*q**2. Let k be d(-6). Let i be k\/(-357)*1*(-3)\/2. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.355 + 1.355. Does 265 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 762, 3217, 7306, 13029, 20386, 29377?\n\"Answer: 817*b**2 + 4*b - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41054 = -4*q + 2*j, 5*j + 24051 = 5*q - 27279. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118193850 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 832 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 198344213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 92, -10, -16, 1, -4 in descending order.\nAnswer: 92, 1, -2, -3, -4, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -13533*r**2 - 514239*r + 570 = 0. Calculate r.\nAnswer: -38, 5\/4511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-7)*m*m\/((m**(-6\/5)*m)\/m)*(m*m**(-7))\/((m\/(m*m\/m**(4\/5)*m))\/m))\/((m\/m**(-1\/4))**(-1\/33))**(-7\/4) assuming m is positive.\nAnswer: m**(-17599\/2640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + 13)*(0 + 1). Suppose u*n - n - 72 = 0. Solve 2 = -z, 0*z = 4*k + z + n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 288.02 to the nearest integer.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 6 + 6*w - 11 to f*w + y and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -185430.\nAnswer: 1\/37086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a decade in months?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1218948, -2437893, -3656838, -4875783?\n\"Answer: -1218945*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6690\/246415)\/((-9)\/(-78)).\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 18399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 66, -4, -1 in descending order.\nAnswer: 66, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 558192 divided by 3\nAnswer: 186064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.25*-0.05\nAnswer: -0.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60340000 = -729*w + 715*w. Round w to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 5*m**2 + 3*m**2)*(-2*m - m**3 + 2*m + (4*m - 4*m - m)*(5*m**2 - m**2 - 2*m**2) - 365*m**3 + m + 425 - 425).\nAnswer: 368*m**5 - m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-17)\/t)\/t**(-1\/13) assuming t is positive.\nAnswer: t**(-233\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -29387*h**2 + 6*h. Let g(s) = -36*s**2. Determine x(g(f)).\nAnswer: -38085552*f**4 - 216*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*v + 6*v + 42*v = -302 + 1256 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30326?\nAnswer: 2, 59, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k**2 - 15*k - 12. Let g = -102 + 109. What is the remainder when 58 is divided by n(g)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.595 - 6.095. What is the fourth smallest value in -16, -5, 1\/9, v?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + (1 - ((0 - -8 - 12) + 1)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**5)\/r**(4\/9)*r**(-3)*r**6\/r)**19)**(-16) assuming r is positive.\nAnswer: r**(-23408\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 + -3. Let x = 1.2 + -0.2. Let g = x - z. Which is the nearest to 0? (a) g (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*h - 6, 0 = 4*h + 3*i + 4. Let x be (-56)\/16 + 3\/h. Suppose -t = 5*c - 0 + 21, -4*t + 4 = -2*c. Sort -8, x, t, -4 in decreasing order.\nAnswer: t, x, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 5 + (7 + 3 + 12)*(4 - 5 - 5))*(-2*t**2 + 5*t**2 + 2*t**2).\nAnswer: -680*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - -106.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-21)\/(-4) + 12\/16 and 52?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 275959923\/28 - 9854199. Let h = 1513 - k. Find the common denominator of -139\/276 and h.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v - 268 = -111*v - 983. Which is smaller: v or 102?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2036, 4200, 6606, 9380, 12648, 16536, 21170, 26676?\nAnswer: 33180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -7*u + 6. Let r(c) = -14*c + 11. Let x(d) = 6*r(d) - 11*v(d). Suppose 3 - 1 = -2*o. Determine x(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*q**6*v**2 + q**4*v**2 - 139*q**2*v**2 + q*v**2 wrt q.\nAnswer: -5280*q**3*v**2 + 24*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**3 + 6*c**2 - 13*c - 3. Give x(2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of 11*p + 0 + 1\/20*p**5 - 3\/4*p**4 - 11\/2*p**2 + 4\/3*p**3. Is 10 a factor of f(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19950482?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3198329879?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11312 and 31052?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 2*w**2 - 26*w + 92. What is i(4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a - 2. Suppose 3*b - 12 = -9. Let f = b - -9. What is the least common multiple of f and g(4)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxrrxrxxrx. What is prob of picking 4 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -289*t**3 - 3*t + 37 wrt t.\nAnswer: -1734*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 521 - 269. Let j = x + -251.999843. What is j rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -551222 (base 6) in base 2?\nAnswer: -1011001001011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 2 = 0, -7*z + 237 = -2*z - 3*y. Suppose 0 = -4*g + 8*g - z. Let i be 1*g - 4*4\/4. Solve -4*c - 12 = i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -15 + 55. Solve a*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3947008.4 rounded to the nearest 100000?\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/5 (b) 0.5 (c) 2358446\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 7 = 4*a - 6*a, -2 = d - a. Suppose 6*c - 2*c = 0. What is the remainder when (-5)\/(-1) - (-2 + c) is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80324290 and 1187.\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132762542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43361 and 2225297?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, c: 5}. What is prob of picking 2 b?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 0 + 5\/6*u**3 + 0*u + 7\/24*u**4 - 2*u**2. Let b(d) = -11*d - 8. Let r(f) = 5*b(f) + 8*c(f). Give r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {n: 4, p: 2, l: 7, c: 5}.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2122145*x**2 + 10*x - 36079805 wrt x.\nAnswer: 4244290*x + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 34*d = 180 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 30639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 1. Let a = 0.179 + -0.239. What is the third biggest value in a, i, 1\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144 + -1212?\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dprl when four letters picked without replacement from {p: 1, l: 2, z: 1, r: 2, d: 4}.\nAnswer: 1\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(220)\/(sqrt(11)*-2))**2.\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -318\/59 + 2403\/413. Which is the third biggest value? (a) s (b) 2\/23 (c) -4\/7 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -5, 59\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508 = -0*a - 4*a. Let w = a + -87. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 18.5146\nAnswer: 92.573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-27)\/108)\/((-6)\/8)*222 is divided by 22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106 - -21?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6624 = 3*h + 48024. What is h rounded to the nearest one thousand?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 5, -2, 1\/18, 15 in descending order.\nAnswer: 15, 5, 1\/18, -1\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 0 + (-4 - 0) + (6 - (34 - -1))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_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 u(j) = 646*j**2 - 231*j**2 - 246*j**2 + 889*j**2. Let t(w) = 2*w**2. Give u(t(k)).\nAnswer: 4232*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzfczscszszszzzfzzz. What is prob of picking 1 c, 1 z, and 1 f?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 58 - 22 = -2*n, 5*n = y + 200. Suppose w + w = n. Suppose 0 = -g - 4 + 9, 4*c - 4*g - w = 0. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 11 + 6*i - 1\/4*i**4 - 7\/3*i**3 - i**2. Let b be v(-7). Solve 0*w - b = 5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 4*i - 5, 4*k + 4*i - 115 = i. Let x(y) = 19*y + 169. Let w be x(-9). Put w, k, 0 in increasing order.\nAnswer: w, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224 - -326. Calculate the remainder when k is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -932, -3124, -6572, -11276, -17236?\nAnswer: -24452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-2) + (-6)\/(-2*6). Suppose p*s + 29 - 9 = 4*c, c = -5*s - 18. Suppose 0*j + c*b - 36 = -5*j, 2*j + b = 14. Does 7 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -27. Suppose 9 - 39 = 2*b + 2*r, -3*b = 4*r + 44. Let v(q) = -q**2 - 21*q - 19. What is the remainder when v(b) is divided by d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -14. Suppose -5 = 5*v + 4*c, -4 - 14 = -v + 3*c. Suppose -13*k + v*k = 2*k. Solve k = -p*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-3 - -2 - -3). Suppose -a + 4 = 2*s - 0*a, z*s - 2 = -2*a. Suppose 3*f = s*w + 2*f - 10, -5*w + 14 = -f. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (6*(sqrt(475) + 0) - (sqrt(304) + (sqrt(304) - (sqrt(304) - (sqrt(304) + 1 + -1 + sqrt(304) + sqrt(304)))))))**2.\nAnswer: -140*sqrt(19) + 3749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5 + 93 + 477*i**5 - 38 + i + 2*i**2 - 2*i**2 wrt i?\nAnswer: 9540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 464 = 3*k + 2*f + 484, -334*f = 2*k - 652 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*n + 252 - 1327 = 90 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -61, -46, -13, 44, 131, 254, 419?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m - 1. Let j(b) = b**3 + 4*b**2 + 4*b - 2. Let p(s) = -s**2 + s. Let f be p(2). Let k be j(f). Calculate z(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 114 = w + 3*g, w - 3*g - 26 = 0. Calculate the remainder when w is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24583, 24789, 25127, 25597?\nAnswer: 26199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*k - 13, -212*q - 797 - 400 = k + 90*q for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 7, t: 12}. Give prob of sequence yy.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60318.\nAnswer: 2, 3, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from azzzczzczfzzz. What is prob of sequence zf?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3160.6048 rounded to one decimal place?\nAnswer: -3160.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/(4*sqrt(15)\/sqrt(5)))**2 + (sqrt(66) + (sqrt(66)*2 - sqrt(66)) - sqrt(66))\/sqrt(6) + ((sqrt(1331) + -2)**2 - sqrt(11)).\nAnswer: -44*sqrt(11) + 21371\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 9*n**2 + 25. Let k(s) = -5*s**2 - 13. Let q(f) = 4*h(f) + 7*k(f). Let l(m) = -2. Give -9*l(y) - 2*q(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g**2 - 3*g + 8. Suppose 0*y + 8 = y. Suppose 3*d = o + 2*o, -4*o = -y. Let q(v) = -4*v - 5 + d*v + 4*v - 9*v**2. Determine -8*q(m) - 5*s(m).\nAnswer: 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 149172, 300570, 451974, 603390, 754824?\nAnswer: 906282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from hujyxchxj?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1969 + 1969.2. What is the fifth smallest value in d, 0.1, -7\/8, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) -8 (c) 30 (d) 1 (e) -2\/9 (f) 2\/549\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 967 is divided by ((-242)\/(-198))\/(1\/9)*1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*v**2 + 25*v**2 + 24*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57169964 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 1 = -x. Suppose -2*y + x = -4*u - 3*y, 4 = -4*y. Suppose -5*q + 10 = -u. Solve 0 = -q*v + v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = 5*f. Let r be ((-12)\/(-3))\/(-8) - -1. Let o(q) = -q**2 - 5*q + 4. Let g be o(-6). Which is the nearest to f? (a) r (b) 2\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 757 + -1118. Let t = f + 373. 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: Let r = 1.22 - 1.12. Suppose -10*y - 112 = -2*y. What is the nearest to r in -1, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*c*n**2 - 6*c*n - 688*c + n**2 - 23*n + 105 with respect to n.\nAnswer: -14*c*n - 6*c + 2*n - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7442 and 5002.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4826, 9650, 14474, 19298?\n\"Answer: 4824*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.2 - 38.2. Which is the second biggest value? (a) z (b) 0.03 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 + -1. Suppose -q + 8 = -v. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (5 + -2 + 1)) + 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 9*q + 17. Let z be a(10). Let o(w) = -9*w**2 + 65*w + 3. Let t be o(z). Solve t*l - 12*l + 15 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23332 at most 23332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9369 + -149851\/16. What is the common denominator of -3\/14 and v?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.041 + 0.959. What is the fourth biggest value in i, 2\/13, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + x - 15, 3*x = -x + 12. Suppose 0 = -2*i - t + 4527, -4*t = -s*i - 3*t + 6793. Is (1 + i\/(-12))\/((-2)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*t - 41, t + 0*q = -4*q - 2. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - -206. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let f(p) = 13*p**2 - 6*p - 6. Let o(b) = 12*b**2 - 5*b - 5. Let y(m) = 5*f(m) - 6*o(m). Determine s(y(i)).\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 248*q - 3620*q**2 - 186*q + 3618*q**2 in the form o*q**2 + z + t*q and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*y - 76. Suppose 0 = -2*v + 2*u + y, 2*v - 5*v + 59 = -u. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 58, -230 in decreasing order.\nAnswer: 58, 1, -2, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 0 + 12\/4. Suppose 2*x - x - 13 = w. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrusrrurursrrsrrsus. Give prob of picking 1 r and 1 s.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190258*x - 3905 = -190203*x for x.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -902075 divided by -180415\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10 (b) 1\/6 (c) 0 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/3 - -8\/15. Find l such that n*l**2 + 0 + 2\/5*l = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -53\/15, 0.1, 0.2, 5.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -184, -309, -422, -517, -588, -629?\n\"Answer: t**3 - 132*t - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = 2*f, -4*f + 4*l = -6*f + 8. Sort -47, f, -1 in descending order.\nAnswer: f, -1, -47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -212 and -321354.\nAnswer: 68127048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4\/7 - 119498*h**3\/7 - 255004464*h**2 - 1784911752*h\/7.\nAnswer: -2*h*(h + 1)*(h + 29874)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-15)*2*(-9)\/3*3.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7852?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 501896 is divided by 40?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -531*w**3\/5 + 372*w**2\/5 - 12*w\/5.\nAnswer: -3*w*(3*w - 2)*(59*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222 is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:19 PM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 + 7 = 3*t, -6 = -3*t. Suppose 0 = l*p - 7*p + 748. Find the third derivative of 9*n**2 - n + p*n**5 - 179*n**5 + n wrt n.\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 816939838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/sqrt(48)*-5)**2.\nAnswer: 425\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -152257 divided by 5?\nAnswer: -152257\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 7:53 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**2 - 696*i - 40368 = 0. What is i?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 61916 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -15*l**2\/2 - 8*l - 4. Is v(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116852249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1034 = -3*p + 2*n, -3*n + 365 + 649 = 3*p. Do 341 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -2*j + 1\/2*j**2 - 1 + 280000\/3*j**3. Let q be a(2). What is q rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/(-13))\/(-17)*39.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -575969307 take away 510?\nAnswer: -575969817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/83? (a) 3.2 (b) 42 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 + 5*r + 1. Let n be ((-6)\/8)\/(159\/(-1060)). Let u(d) = 4*d**2 - 23*d + 11. Let s be u(n). Determine i(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in seventeen halves of a millennium?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 5*b**5 - 60*b**4 + 215*b**3 - 120*b**2 - 400*b = 0?\nAnswer: -1, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23680*n + 4 - 4 + 11821*n + 11861*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 2*v = h + 3, -h + 1 = -3*v. Solve 3*p - 16 = h*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.85 + -0.15. Let q = u - -1.7. Let o = q + 0.2. Which is the closest to 0? (a) -2 (b) -2\/13 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 379 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 12:59 AM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**6*k**(2\/11)\/k*k*k)\/(k**(4\/3)\/(k\/k**5*k)))**(-17))**(-13\/5) assuming k is positive.\nAnswer: k**(28067\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -5.4. Let l = 12 + a. Let x = 2.08973 + -0.08973. Is x <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 3)*(2*h**4 + h**4 - 4*h**4) - h**4 + 0*h**4 + 6*h**4 + (-28*h + 16*h - 11*h)*(-11*h**2 + 0*h**2 + 1297*h**3 - 1299*h**3).\nAnswer: 49*h**4 + 253*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {c: 2, a: 1, s: 2, z: 1, h: 12, j: 2}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 143 = -29*p + 70, 4*z + 2*p = -16 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 1285184959*t**3 - 1285184956*t**3 + 5*t.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*t - 7*t. Let z = -38 - t. Let r(l) = 3750*l**3. Let j be r(z). What is j rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 5. Let s = 0 - 17. Let m = 22 + s. Solve 0 = -i*r + m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bc when two letters picked without replacement from lbbbbbcbbbb.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w - 52. Determine s(16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.94 + -2. Let h = 15.608 + -15.528. What is the second smallest value in s, 3\/8, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*n = 161, q + 4*n - 1 = 55. Let h(w) = 3*w**2 - 2*w + 3. Let i be h(3). Suppose -2*c + q = -i. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - 4*l + 0*l + (-1 - 3 + 2)*(-2 - 4 + 5)*(14*l - 4*l - 11*l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) 2\/31 (c) 2\/29 (d) -2\/5 (e) -3 (f) -5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 44480 less than or equal to 44396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4100 + -2382. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*f + 19. Suppose -f = -2*v + 7, 5*v - 13 = s. Solve 0 = q + s - 3 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-74 - 0) + (28 - 13) - ((0 - 3) + -1)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15060 and 79316?\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 5*x - 3, -6*m + 1 = -5*m - x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 612473 + 189?\nAnswer: 612662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*n + l, -l + 6*l - 70 = -n. Calculate the remainder when n is divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*q**3 + 8*q - q**2 - 2 + 78*q**3 - 32*q**3 - 31*q**3 + 13*q**3 to the form n*q + m + t*q**3 + j*q**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 88314 divided by -5\nAnswer: -88314\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3408*d**2 + 256*d. Let v(f) = f**2. Calculate x(v(p)).\nAnswer: 3408*p**4 + 256*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -119, -113, -105, -95, -83?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49404692.7 rounded to the nearest 1000?\nAnswer: 49405000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/4 + 5\/2. Let g(p) = 30 + m - 55 - p. Give g(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, c: 1, t: 1}. What is prob of sequence tl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 573786 and 6526?\nAnswer: 7459218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-1 + 2 + 0 - 1) + -22\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91 - -0.003802236.\nAnswer: -90.996197764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -255 + 367. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 7 (c) 177 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 18 = 2*a, -4*l - 19 = -0*a + a. Suppose 4*f = -4*q + a - 5, -15 = 5*q. Find the third derivative of -f*b - b + 6*b**2 + 3*b - 6*b**3 wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 141 - 135. Suppose 9*w = k*w + 771. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 2. Let d be b(-2). Suppose 2*p = f - d*p - 4, 5*p + 6 = 2*f. Solve 0 = -g - 2*v + 4*v + 11, -4*g = v - f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 606 + -342. Suppose 27*m = 23*m + 96. What is the highest common divisor of m and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - -4. Suppose 33 = 2*v - a. Let d(p) = -v + 28 + 5*p. Let z(c) = -c**2. Calculate z(d(o)).\nAnswer: -25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4709\/11244 + -2\/937. Let p(o) be the second derivative of 0*o**2 - n*o**4 + 0*o**3 - 3*o + 0. Let w(f) = 3*f. What is p(w(i))?\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/1167 and 169\/34062.\nAnswer: 13250118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 104911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/30*16 - (-10)\/15. Let w = -25 + 27. Which is the closest to -4\/5? (a) w (b) 0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*b - 2*y = -61*b + 318, 0 = -2*b + 2*y + 126. Suppose -5*f = 3*m + b, 5*f + 5*m - 38 = -108. Sort -1, f, 3 in increasing order.\nAnswer: f, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459 = -9*c + 216. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(539) - (0 + (sqrt(539))**2))*-4*-6.\nAnswer: -12936 - 504*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 14*(-3)\/12)*2. Sort 5, -5, 0, i in ascending order.\nAnswer: -5, i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5739.942 litres in millilitres?\nAnswer: 5739942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 17. Suppose 0*o + 5*l + 2435 = g*o, -1213 = -o + l. What is o rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3299 is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -1\/60*l**5 + 1\/378*l**7 - 99*l + 0 - 1\/270*l**6 - 1\/27*l**3 + 0*l**2 + 5\/108*l**4. Let i(h) = 0. Calculate h.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -5. Let s = t + 1. What are the prime factors of s*(-6)\/4*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(497\/568)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:19 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7629200*g**4 + 2690254*g**2?\nAnswer: -183100800*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 332, 11, -2 in decreasing order.\nAnswer: 332, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 34 = 74. Let v be 22\/(-11) - 16\/u*-6. Solve -2*a + v + 4 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.0374 - 0.0626. Let r = 42 + y. Which is the second biggest value? (a) 2\/7 (b) r (c) 7 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -404 + 415 + 274*1647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41\/((-328)\/(-80)) + 34 - 16?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xtttxvtxtvvtx. What is prob of sequence tvvt?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -10.45?\nAnswer: -10.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1545021, -1545017, -1545013, -1545009, -1545005?\nAnswer: -1545001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 200401*c - c**2 - 66801*c - 66800*c - 66800*c.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 134990174.6 rounded to the nearest 1000000?\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 16 + 48. Let m(t) = 3*t**3 + 3*t**2 - 3*t + 1. What is the remainder when m(2) is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71849 at most as big as 71836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/13, 0, 151, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - x - 2*x + 3924, 0 = -3*i + 5*x + 5867. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 141469, 282939, 424409?\n\"Answer: 141470*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.449 - -0.049. What is the nearest to -2\/7 in -4\/5, o, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 + 28\/4 - -10. Let j = -96 + 152. What is the greatest common divisor of q and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 23*u**2 - 288*u + 1732. What is the smallest common multiple of 36 and h(6)?\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**2. Let y be ((-36)\/(-4))\/((-12)\/8). Let s(i) = i + 1. Let o(j) = 8*j + 6. Let u(b) = y*s(b) + o(b). Determine x(u(q)).\nAnswer: -32*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 - 420*r + 143838.\nAnswer: -2*(r - 183)*(r + 393)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 (base 13) in base 2?\nAnswer: 10110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 6*z**3 - 149*z**2 - 3*z - 149. Let r(m) = -13*m**3 + 294*m**2 + 7*m + 297. Let v(u) = -7*q(u) - 3*r(u). Differentiate v(a) wrt a.\nAnswer: -9*a**2 + 322*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 307762.3 seconds?\nAnswer: 307762300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a centimeter in micrometers?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - -5*(8\/(-3) + 3). Let a = 6395 + -19177\/3. Factor a*s + 0 - m*s**2.\nAnswer: -2*s*(s - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 4*w + 4. Let j be p(-1). Suppose -f - 5*b + j = -20, 3*b = -3*f + 24. Suppose -96 = -d + 3*n, -3*d - f*n + 394 - 50 = 0. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/44)\/(2\/(-12)). Let s = 0.2 + -0.4. What is the second smallest value in -4, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 1610*n**3 - 1766*n + 3. Let j(u) = 3221*u**3 - 3530*u + 5. Let s(b) = 3*j(b) - 5*q(b). Find the second derivative of s(m) wrt m.\nAnswer: 9678*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + f + 3)*(-6*f**4 + 2*f**4 + 2*f**4) + 6*f**5 - 4*f**5 - 4*f**5 + 3*f**5 + 17*f**5 - 55*f**5.\nAnswer: -39*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 84566 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-36 - -63) + (-3 - -4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15264*v + n = -15267*v - 8, 5*v - 16*n + 84 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 21 = -3*x. Suppose -x*c = -r + 167, -5*r - 2*c = c - 799. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 677 divide 242379968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.164182 to 3 dps.\nAnswer: -0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*g + 41*g + 45 = -3*h, 0 = -2*h - 5*g - 9 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Let w(d) = -3*d + 11. Let t(a) = -3. Let o(z) = 1. Let q(u) = -6*o(u) - t(u). Let l(c) = -3*q(c) - w(c). What is l(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052294318 to 4 decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, k: 7}. Give prob of sequence kj.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 56.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 1172 = -262. Calculate the smallest common multiple of 42 and w.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 97*b**3 - 63*b + 108. Let x(p) = 48*p**3 - 28*p + 54. Determine 4*d(c) - 9*x(c).\nAnswer: -44*c**3 - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 41*u**2. Let h = 12 - 12. Suppose 2*z + 5*t = 3, h*z + 3*z = -5*t + 2. What is the tens digit of b(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -46*z**2 - 6*z - 6. Let l(v) = -45*v**2 - 4*v - 4. Let s(n) = 3*l(n) - 2*t(n). Let c(g) be the first derivative of -g**2\/2 - 1. Calculate c(s(x)).\nAnswer: 43*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 542, 1825, 4328, 8459, 14626, 23237, 34700?\nAnswer: 49423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034*d + 14 - 883*d - 11.\nAnswer: -1917*d + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1 + ((-1*sqrt(1815))\/(-1*sqrt(12)\/sqrt(4)) - ((sqrt(40)\/(sqrt(4) - sqrt(4)*-1))\/(3*sqrt(2)*-2))**2).\nAnswer: -5\/144 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -11596103.\nAnswer: -46384412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 + (11 - 6) + (0 - -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 46 + 58 - 114 + w. Let b(t) = -2*t. Give b(y(d)).\nAnswer: -2*d + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - -9. Let u = -112310 - -112326.99954. Let v = w - u. Round v to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvssjssjjjjssosojs. Give prob of sequence sov.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-4)*(-13 - -19). Let s be z\/9*(0 + 1). Let d(r) = -7*r - 4. Let x(o) = 22*o + 11. Let w(c) = -11*d(c) - 4*x(c). What is w(s)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-11 - 5) + -10 - 21?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*c - 333*c**2 + 198*c + 113*c.\nAnswer: -333*c**2 + 385*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2 - 1 - 2 + 13051*j**2. Let r be s(1). Suppose -r = 4*k + 15750. Round k to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -876491 and 15?\nAnswer: -13147365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 2*j**5 - j + 5*j**5 - 4*j**5 - 2*j**5 + j**2 - j**2 + 4*j**5 + (-4*j**3 + j**3 + 5*j**3)*(6*j**2 - 4*j**2 + 15*j**2) - 27*j**5 - 6*j**5 - 14*j**5.\nAnswer: -12*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -3193261 and -3193359 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -3.\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -14993743\nAnswer: 2998748.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Suppose 3*l = l + 14. Suppose -4*z + 4*p + l = -p, 5*p = -5*z - 25. Sort 2, q, z.\nAnswer: z, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 80150553?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -144 (base 13) to base 2\nAnswer: -11100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0, 1, -0.7, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3152366994 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 17. Let g be h(-9). Suppose 7 = -5*d - g. Let x(q) = -2*q**3 - 3*q**2 - 2*q - 4. What are the prime factors of x(d)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/25 + 1944\/1440?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -61. What is the greatest common divisor of g and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (359*r - 229*r - 208*r)*(-3 + 1 + 4) + 2*r - 3*r + 0*r.\nAnswer: -157*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 72*y - 4. Let r(v) = -23*v + 1. Let u(a) = -q(a) - 3*r(a). Let h(j) = -12*j + 4. Calculate 2*h(m) - 9*u(m).\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**3\/3 - 13*j**2\/2 + 9*j - 4. Let u be h(6). Calculate the highest common factor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1680014 to the nearest integer?\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -151803 - -198\nAnswer: -151605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4660, -10014, -15356, -20680, -25980?\n\"Answer: s**3 - 5361*s + 700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of 2 - 1\/6*j**3 + 44*j + 8\/3*j**4 + 3*j**2. Find the second derivative of h(f) wrt f.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 9:47 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -f - 5 + 21, 108 = 3*f + 3*l. Let u(y) = y**3 + 15*y**2 - 3*y - 34. Calculate the remainder when f is divided by u(-15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 591013536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 37?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10735 rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -142443000 to the nearest 1000000.\nAnswer: -142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*n**3 + 2*n + 2*n + 131*n**2 - 131*n**2 wrt n.\nAnswer: 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 434 and 98?\nAnswer: 3038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 171 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-546)\/(-15)*1 - 1890\/(-3150)) + -9\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -59*x - 1418. Let h be b(-22). Put -19, h, 4 in decreasing order.\nAnswer: 4, -19, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - 2*(sqrt(68) - (sqrt(68) + 5*sqrt(68)))))\/(sqrt(3564)\/sqrt(11)).\nAnswer: -10*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t - 22. Suppose -13*m + 18 = -4*m. Suppose 4*b - 58 = 3*d, -m*b + 0*b = 4*d + 48. List the prime factors of j(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 5*y + 40, 10*j - 14*j = 6*y + 56 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 + -12 + 204\/12. Solve -4*y + 13 = -2*l + i, 2*y = 10 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Suppose -w + 75 - 58 = 0. Let t = w + k. Calculate the remainder when 132 is divided by t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2529926)\/(-38044))\/((-1)\/2).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 277 + -273. Let j(i) = 11*i**2 + 8*i + 5. What are the prime factors of j(o)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44 + 2.1193332652057\nAnswer: -41.8806667347943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -25*p**5 + 395*p**4 - 654*p**3 + 340*p**2 - 56*p = 0.\nAnswer: 0, 2\/5, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - g + 3, 6*g + 277 = -r + 285. Suppose 32\/7*f + 4\/7*f**r + 4 = 0. What is f?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2862, 2844, 2828, 2814?\n\"Answer: j**2 - 21*j + 2882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 = 3*p + 6, 1 = 5*w - p. Suppose -5*o = -w*o + 40. Let d = o - -13. Solve 4*t - i = 5*t + 1, -d*t + 2*i + 2 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k**2 + 13*k - 13*k)*(-5 + 31*k**2 + 6 - 5*k**2).\nAnswer: -208*k**4 - 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 2590*u**2 + 18173*u - 15582.\nAnswer: -(u - 6)*(u - 1)*(u + 2597)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 - (6 + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -447429?\nAnswer: 447439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 938081.5l?\nAnswer: 938081500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140292189?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/4 + 3\/(-12). Suppose -4*l = -5*l - 1. Let y be l*2 - (-6)\/3. Solve z + z - u = y for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*b**4 + 184803 + 3*b**2 - 185512 - 5*b**4 - 15*b**2 wrt b.\nAnswer: -48*b**3 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 992 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: Let s be (-1 - 1218\/(-24))\/(2\/24). Is s*(-4 - (-26)\/6) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2908*k**4*l**2 - 105*k**4*l + 1671*k**2*l**2 - 87*k**2*l - 2*k*l - l wrt k.\nAnswer: -69792*k*l**2 - 2520*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94967791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 678?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 2*n - 2*n)*(-18 + 14 - 27) in the form b*n + g and give b.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + 0.7. Let s = 0.1 - 0.1. Suppose -3*z - 2*z = 0. What is the closest to s in z, c, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 37 = x, 491*x - 493*x + r = 48 for x.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**7\/315 - k**5\/24 + k**4\/4 + 8*k. Let v(i) be the third derivative of c(i). Find the first derivative of v(z) wrt z.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 2 i when four letters picked without replacement from ieeeiweedmde.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 3*l = -18, 17*l = 3*c + 12*l - 14 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*p. Let x = p + -5. Suppose c = 4*a - 8, 0 = 3*c - 2*a - 0 + 4. Put -4, c, x in increasing order.\nAnswer: x, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q + 40. Calculate s(20).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 + d**2 + 3*d - 1. Let v be j(-3). Calculate the least common multiple of 3 + 2 - (0 + v) and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from qqowqwqqqwowqqqcwajw.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8)*(-12)\/(-7). Let l = 5 - 3. Let o be l\/(-12) + (-1)\/2. Which is the nearest to -1\/3? (a) o (b) t (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 - 25*s**2 + 6*s - 1. Let c(o) = -9*o**3 - 76*o**2 + 17*o - 3. Determine -4*c(z) + 11*v(z).\nAnswer: 14*z**3 + 29*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 33469 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -439.7993755 to the nearest integer.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74636044.\nAnswer: 2, 7, 739, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 826 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-8))\/((-141)\/40*(-122)\/(7320\/300))?\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*j + 15 = -10*j. Let w(n) be the first derivative of -n**3\/3 + 2*n**2 - 3*n - 40. Calculate w(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -2)\/6 + (-3)\/(-6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5335131 is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**4 - 211380240*j**3 + 2234080504503110*j**2 - 4468160374865520*j + 2234080081742645 = 0.\nAnswer: 1, 21138023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -291 + 1007 - 298 - 23*b + 18*b - 128 - 290.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 1 - -5)\/((-5)\/(-25)). What are the prime factors of 5925\/l*(-3 - -4)?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 2*n + 3*f, -3*f = 3*n - 4*n - 14. Suppose 2*z + 3*a + 28 = 3*z, a = 0. Let s = n + z. Solve k - 5*k + s = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 9:04 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + 0.4. Let c = -2.2 + h. What is c rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, f: 2, w: 2, j: 1, z: 2}. What is prob of sequence zj?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27972.99 grams to tonnes.\nAnswer: 0.02797299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73353 and 20874?\nAnswer: 10416126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**2 + 10*r + 506. Let c be p(28). Solve 5*z - 15 = 10*z - 5*s, -c*z - 6 = -5*s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*-1*sqrt(931))**2 - (2 + -3*((1 + sqrt(304))**2 - sqrt(304))).\nAnswer: -16*sqrt(19) + 1848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85537\/85646935 + 9\/7645. Let p = 571369\/89624 - b. What is the common denominator of p and -37\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27110416 divided by 694.\nAnswer: 39064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117286529*f**2*y**3 + 1376*f*y**3 + f*y**2 + 6*f*y - 10*f - y**3 + y wrt f.\nAnswer: -234573058*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*q = 19, -24 = -7*x - 5*q + 3*q. Let s = -47.2 - -47. Which is the closest to x? (a) s (b) 5 (c) -4 (d) -0.56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 - 63 - (-6 - (6 + -3)) - -2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7747\/738 - -296\/41. Find the common denominator of -67\/12 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18628 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b = 102. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21484336367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -338*x**6 + 231*x**5 + 844*x**2 + 220*x**5 - 451*x**5 wrt x.\nAnswer: -40560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 0 - (-28 + 44).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3808.917 nanometers?\nAnswer: 0.000000003808917","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704709 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-336)\/156 + (-3)\/(6\/(-4)). Which is the third biggest value? (a) -2 (b) -3\/5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6077599903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15\/8 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/16620 or 1?\nAnswer: -1\/16620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 22 = 2*u, 0 = -2*f - 11 + 3. Suppose -y + 19 = -u. What is the remainder when (0 - -2)*-1 + y is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/1185, -2, 0.1, -5.6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 51198201.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(324) + (sqrt(288)*2)\/sqrt(8))\/(sqrt(144)\/(sqrt(768)*-1)).\nAnswer: -160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 6. Suppose -2*f + 28 = 2*k + 3*f, 0 = 5*k + l*f - 36. Let y be (-17)\/2*(k - 6). Solve -t = 3*j + y - 3, -4*t = -j + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 - 11114042?\nAnswer: -11114244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**3 + 0*m**3 + 5*m**3)*(85*m - 273*m - 149*m) - 6*m**4 + 2*m**2 + 3*m**4 + 4*m**4 as h*m**2 + w + f*m**4 + s*m**3 + g*m and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36659835 to the nearest integer?\nAnswer: 6055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51622462 to the nearest integer?\nAnswer: 7185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 462 and 763 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = 3*z - 5*k, k - 2*k + 2 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25 - 5*y**2 - 25 - 4*y to o + w*y + r*y**2 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2624 or 2\/3?\nAnswer: -3\/2624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/7, 0, -33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -2\/17, 0.9, -1\/3, 0.3, -2\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (114 + -14)\/(-10) - -14. Let n(f) = -f**3 + 14*f**2 + 3*f - 46. Let v be n(14). Which is greater: v or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.6 - 0.1. Round q to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 AM and 6:52 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -166269 divided by -57.\nAnswer: 2917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 19*m**2 + 13*m + 13. Let j(b) be the second derivative of -1\/3*b**3 + 0 + 2*b - b**2 - 1\/4*b**4. Determine 6*g(s) + 39*j(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3040 and 171?\nAnswer: 27360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -88*w. Let c(h) = 3*h. Calculate c(z(v)).\nAnswer: -264*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = -6*t + 57. Let h(f) = 3*f**3 - 88*f**2 - 59*f - 10. Calculate the least common multiple of h(t) and 434.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.63 - -3.81. Let z = o - 10.54. What is z rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 44 - (-3 + (3 - 1)). Let d = x + -46. Let n = 26792\/73 + -367. Which is smaller: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6763034 is divided by 369?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 47*s - s**3 - 22 + 122*s - 4*s**2 + 8*s**2 + 13*s**2. Let d be a(24). Find u such that -28\/5*u - 16\/5*u**d + 8\/5 = 0.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -224 + 228. Find the second derivative of 100*m**4 - m**3 - 51*m**4 + 90*m - 72*m**p wrt m.\nAnswer: -276*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 10*c**3 + 12*c**2 - 38*c. Is 4 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/48 - (-9)\/12)*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5141772 divided by 1\nAnswer: 5141772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-215)\/(-10) + 3\/(-6). Let b = 26 - h. Let w(p) = 15*p + 31. What are the prime factors of w(b)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k + 4*d - 11 = 4*k, k = 3*d - 13 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*z + 5*z - 2*z)*((-3 + 2 + 3)*(-1 + 0 + 0) + 2 - 7 - 19) as r*z + l and give r.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9659 - -202918\/21. Find the common denominator of l and (-3 - -2)*267\/(-108).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -21. Calculate the highest common factor of l and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -125 + 95 + 68 + 2*k**2 as h*k**2 + g + a*k and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 20 = -5*c. Let h(q) = 6 + 2*q**2 + 2*q**2 - q**3 - c*q**2. Determine h(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bnbn when four letters picked without replacement from wonnooopnnnbpoopwno?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7074 + 7254. What is the nearest to 10 in b, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1130*v - 7020 = -1139*v. Calculate the greatest common factor of v and 4524.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1))**(-3\/20)*(u*u**22)**(-21\/5))**(-3\/5) assuming u is positive.\nAnswer: u**(5787\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**9\/60480 - j**8\/8960 - j**7\/3360 - j**6\/2880 + j**4\/8 + 5*j**2. Let o(y) be the second derivative of i(y). Factor o(f).\nAnswer: -f*(f + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3\/5 + 174*b**2\/5 + 576*b + 7128\/5.\nAnswer: 2*(b + 3)*(b + 18)*(b + 66)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyysyyysyyys. Give prob of picking 1 s and 2 y.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 3*f**2 - f + 4. Let t be d(3). Let b be (-2 + 2)\/(0 + t). Let p = b - -2. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l**2 + 32*l + 63. Let m(s) = 4*s**2 - 118*s + 646. Let z be m(22). Calculate n(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/390 and -21\/175370?\nAnswer: 526110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 7 = -131. Solve -6*j + 5*j - z = -5*p, -2*j - 3*p + 6 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 8\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 5:45 PM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/1 - (4 + -2). Let h(u) = 2*u - 1. Let n be h(b). Let l(p) = -8 - 1 + 4*p - 5*p + 2. Calculate l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-11 + (-306)\/(-27)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9184586 to the power of 1\/2, to the nearest integer?\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 208 and 24.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 233*n**2 + 134*n - 8. Is b(-3) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -188 + 203.4. Let n = v - 13. Let c = -3 + n. Round c to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 6164?\nAnswer: -6163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*p**3 - 5*p + 5*p + (0 - 2*p + 0)*(-p**2 + p**2 - 2*p**2) - 4*p**2 + 4*p**2 - 2*p**3.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305*x - 427*x + 488 = 0. Solve -f + g = -x*g - 14, 0 = -5*f - g - 8 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 216 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ltlahnjaj. Give prob of picking 1 n and 1 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 9 - 6 = 2*c, 5*c + 12 = -4*o. Solve c - 10\/7*d**2 + 4\/7*d = 0 for d.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*l + 11 = -273*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -102.904.\nAnswer: -106.904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -230446 and -0.2?\nAnswer: 46089.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5301667ml to litres.\nAnswer: 0.0005301667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1575)\/420*8\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 16*c**7\/35 - 49*c**5\/10 + c**4\/24 - 316*c**2. What is the third derivative of n(d) wrt d?\nAnswer: 2304*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14 - 1 - -3*1. What is the remainder when 2\/8 + 44\/w is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440829 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: Solve -28179 + 28199 = -5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.9334 to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 344 and 301.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*q**4 - 80*q**3 + 854*q**2 - 1666*q.\nAnswer: -2*q*(q + 17)*(2*q - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 + 49 + 8)*(7 + 2*l - 7) + 4 - 3*l - 4 to o + c*l and give c.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 79.54997 years?\nAnswer: 0.07954997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 575*u - 235803. Determine r(410).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629511144?\nAnswer: 2, 3, 26229631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y + 48*y = -8, 4*y = 4*u - 80. Let k be 94\/u - 5 - (-32)\/18. Solve -5*r + 8*r + k*b + 9 = 0, -2*b - 6 = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*b**3 - 1008466*b**2 + 15767424*b?\nAnswer: 36*b - 2016932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhn when three letters picked without replacement from {n: 6, h: 4}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1603 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvn when three letters picked without replacement from vnnnnvnnvvvn?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 8*y - 31, 8479*y - 5*r = 8478*y - 23 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -147.7 + 384. Let p = r + -236. Let i = -1 + 1.4. Which is the third smallest value? (a) 3 (b) -3 (c) i (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -2*h - r, r + 15 = 4*h. Suppose 2*p - a - 20 = 0, p = -h*a - 8 - 4. Calculate the remainder when 21 is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174.499948 - 174.57. Let c = -0.07 - u. Round c to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 127554*t**4 + 2*t**2 + 2094759?\nAnswer: 510216*t**3 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -39, -21, 11, 63, 141?\n\"Answer: p**3 + p**2 + 8*p - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a - 4*a - 3*a)*(-3 + 1 + 0) - 2*a - 1 + 1 + 3*a - 5*a - 14 + 45 in the form i + l*a and give i.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/6 - 3297\/(-18). Let s be v\/21 + (-6)\/(-21). Suppose -4*l - l - 2*c = -11, -s = -3*c. Solve o + 8 = 4*n - l, 2*n + 4*o = -18 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -18\/67463 and 139\/6?\nAnswer: 404778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*v + 11 = 3*c, 1 = 2*c + 5*v. Let w be c*((-32)\/12 + 0). Put w, 4, 1 in ascending order.\nAnswer: w, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32 by -229.\nAnswer: 32\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 + 160 = 3*d. Suppose -650 + 730 = d*h. Let v = 4 + 1. Solve v*j - h - 9 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.529944077 to 3 dps.\nAnswer: -2.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - (-1 + 2 + -2). Let v be p + (-5)\/((-5)\/9). Let d = -8 + v. Calculate the least common multiple of 2 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*5\/((-20)\/(-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 divided by 5?\nAnswer: 53\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40706679*q**3 + 82888965 with respect to q.\nAnswer: -122120037*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4449, -4390, -4335, -4320, -4381, -4554, -4875, -5380?\nAnswer: -6105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ils when three letters picked without replacement from iflsffflffssfusf?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17528.7 and -3.\nAnswer: -17531.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 1. Let r(g) = 4*g + 7. Suppose -4*d = 5*f + 14, 0*f + 4*d + 8 = -4*f. Give f*h(o) - r(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 212 = 36. Suppose 3*g + 4*s - i = 0, 4 = g + 4*s - 16. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(68) + 3 - sqrt(68))**2 - sqrt(68) - sqrt(68)) + -5.\nAnswer: -4*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 + -363676?\nAnswer: -363666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {n: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 10:12 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 8*h**2 + 8*h. Let w(k) = 6. Let a(u) = u**2 + u - 16. Let p(i) = 3*a(i) + 8*w(i). Let g be 3\/(-6) - 22\/(-4). Determine g*q(n) - 14*p(n).\nAnswer: -2*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*m + 41*m + 36. Let h(t) = -2*t**2 + 6*t + 2. Let b(d) be the first derivative of -4*d**3\/3 + 11*d**2\/2 + 3*d + 1. Determine m*b(u) + 7*h(u).\nAnswer: 2*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35\/(-330) - (-15)\/55. Let t = 7 + -4. Which is the second biggest value? (a) -2 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -20*l - 45 + 40 - l**2 + 2 + 3*l**3 - 3*l**4 - 82*l + 4 as p*l**3 + b + d*l**4 + q*l + o*l**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 0. Suppose w = -5*n - 20, 0*n = -3*g + 4*n + 13. Let c(s) = 2*s**2 - 5*s + 1. Let j(h) = h. Let d(b) = -c(b) - 6*j(b). Determine d(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000087413011 to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -632, -1242, -1878, -2546, -3252, -4002, -4802, -5658?\n\"Answer: -d**3 - 7*d**2 - 582*d - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7, -24\/1145, 15 in ascending order.\nAnswer: -7, -24\/1145, 0, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 2*o**3\/3 - 7*o**2 + 19*o + 17. Let w be k(6). Solve 0*z - 5*p + 21 = -z, 0 = -3*z + p - w for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 400 + -395. What is the nearest to g in -2, -1, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 6 = -0*z. What are the prime factors of 20 + (4 - 0) + z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 109, 20, 5, 13 in increasing order.\nAnswer: 5, 13, 20, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 9*d**2 + d + 16. What is the lowest common multiple of b(9) and 7?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 2 + 5 + 0 - 3 + (-3 + 3 + 1)*(-3 + 2 + 2) - 2 + 0 + 4 - 1 - 2 + 4)*(-12*g - 29*g + 76*g) as w*g + x and give w.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 33*i**2 + 52*i - 523. Is a(32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 6*t + 2. Let p(b) = b + 4. Let q be p(-6). Let v be 1*(q - -3)*-5. Let k(g) = -3*g - 1. Let l(n) = v*k(n) - 3*m(n). Give l(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*q + 73 + 1 + 4*q - q.\nAnswer: -q + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 7*t - 10. Let y be a(6). Let h(n) = n + 1. Let j be h(-5). Is j bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1.2. Let y be (-126)\/104 + (-2217)\/(-2956). What is the third biggest value in l, y, 0.1, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 (base 7) in base 8?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (sqrt(68) + 1*(sqrt(68) + (sqrt(68) - -2*sqrt(68))) + sqrt(68) - sqrt(68) - sqrt(68)))\/(3*sqrt(64)).\nAnswer: 5*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 14109512 and 26336?\nAnswer: 56438048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 divided by 22?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4719940 to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**2 - 92*s - 608 = 0. What is s?\nAnswer: -38, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -407313, -813680, -1220045, -1626408, -2032769?\nAnswer: -2439128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2312 (base 5) in base 13?\nAnswer: 1c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14196.8 - -14197. Let n = 9.23 - 0.23. Let j = n + -9.4. Which is the second smallest value? (a) j (b) h (c) 1\/4 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2197*y - 16 = 2193*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32101?\nAnswer: 47, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -22, -60, -1 in descending order.\nAnswer: 3, 1, -1, -22, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**6\/480 + 29*i**5\/240 + 31*i**4\/48 - 47*i**2. Let y(h) = 0. Calculate h.\nAnswer: -2, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 209 or 189?\nAnswer: 189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 447*w. Let k(v) = 10*v**2 + 3*v + 3. Let b(f) = 13*f**2 + 4*f + 4. Let p(z) = -3*b(z) + 4*k(z). Give t(p(r)).\nAnswer: 447*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l + 7*l + 1 - 14*l)*(2*l - 2*l - 2*l**2).\nAnswer: 6*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56867?\nAnswer: 19, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 6*h**2 + 4. Let c be y(6). Let j be ((-2)\/1)\/(6\/(-741)). Let a = c + j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/731*2\/(-4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 279745787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 110\/924*(-6)\/(-10).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 83*t + 1490. Let q be i(-18). What is the closest to 0.2 in q, 2\/9, -0.47?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7016 - -28105\/4. Are 11 and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1135718, -1135709, -1135696, -1135673, -1135634, -1135573, -1135484, -1135361?\nAnswer: -1135198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -221121 + 2102120100?\nAnswer: 2101121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1173002*n**2 + 1759499*n\/3 + 2\/3 = 0. What is n?\nAnswer: -2\/1759503, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8.13 + -0.13. Let c = -0.043 + 0.143. Is a less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-8)*(-50)\/75*10710\/119?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 30. Calculate t(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 47 - 406 = 3*u, 0 = u + 2*x + 155. Let m = u - -154. Calculate the remainder when 25 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 113 - (-204 + 110 + 130).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 780*r**2 + 3950*r.\nAnswer: -2*r*(r - 5)*(r + 395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 14 - 99 = -4*w + 119, -19*m + 0*w + 20 = 2*w for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 228588 < 228588?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 16 + (-7 - (-3 + 1))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tugvtku. What is prob of picking 3 t and 1 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 140521 divided by -2802\nAnswer: -140521\/2802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Solve h - 2 = -2*v, 0 = o*v + 2*v + 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*z - 11, -2*z - 1 - 5 = 0. Let t(v) = -v**3 - 5*v**2 - 3*v - 7. What is the units digit of t(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1300))*-3.\nAnswer: -30*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -221 (b) -2\/11 (c) -1\/5 (d) 1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.2, -5, 37\/8, 3345?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -68\/75 - -6\/25. Let f = 1 - 1. Which is the nearest to 0.1? (a) f (b) 0.05 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -3*z**3 - 1620*z**2 - 354*z - 191166. What is k(-540)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.4 - -48.9. Let v = 36 - n. What is the second smallest value in 0.1, 3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -474, -472, -470, -468?\nAnswer: -466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 5*a + 6, -3*d - 3 = -0*a - 3*a. Suppose 3*i + 17 = -0*p + 2*p, -15 = i - 3*p. Let s = i + 2. Sort -3, d, s in descending order.\nAnswer: d, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnettnetent. What is prob of picking 1 e, 1 n, and 1 t?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30124719 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 0*u**3 + 0*u**3 + 5*u**3 - 35*u**3 - 10*u**3 + (0*u + 0*u - 2*u**2)*(3*u - u - u).\nAnswer: -44*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -111722 times 0.16\nAnswer: -17875.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*u - 10069 + 10079 - 35*u)*(-4 + 1 + 1).\nAnswer: 50*u - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 + 887335160516\nAnswer: 887335160522.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -28. Suppose g = -4*p + 2. Is 25 + p - 0\/5 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 15*j - 4 + 8.\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 - w + 2. Let o(a) = 9*a**2 - 12*a + 24. Let x(t) = -5*o(t) + 60*u(t). Let c(l) = l**2. What is x(c(j))?\nAnswer: 15*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*q - 63 = -v, -193*q + 4*v - 50 = -191*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 69 = -102. Let j(s) = s**3 - 8*s**2 - 2*s - 29. Let y be j(g). Calculate the highest common divisor of 39 and y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-48)\/9)\/(32\/(-1968)). What is the common denominator of 83\/10 and (8 - 4044\/504)*(1 - o)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -179, 2, 142, -4, 170 in ascending order.\nAnswer: -179, -4, 2, 142, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(156)*-5 + sqrt(156))*-6)\/((-1*4*sqrt(96) + sqrt(96) - sqrt(96))\/sqrt(8)) + -4)**2.\nAnswer: -288*sqrt(13) + 16864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -221179, -221162, -221141, -221116, -221087?\n\"Answer: 2*x**2 + 11*x - 221192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((v**2 - 4*v**2 + 5*v**2)*(v - 5*v + 3*v) + v**2 - v**2 - v**3)*(3*v - 7*v - 18*v)*(-10*v + 20*v + 7*v).\nAnswer: 1122*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 1. Let l(t) = -6*t**2 - t - 6. Let c(f) = -l(f) + 5*r(f). Is c(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 851905 minus -6?\nAnswer: 851911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 807551 is divided by 704?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 divided by 64582?\nAnswer: -65\/64582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-10)\/24)\/((-2)\/4). Let j = 20 + -16. Suppose -n - j + 3 = 0. Which is the second biggest value? (a) 0.4 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 17860984 = -r - 6750972, -55550004 = -5*r - b. Round r to the nearest one hundred thousand.\nAnswer: 11100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bxb when three letters picked without replacement from {b: 2, x: 1, y: 2, p: 6}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 166251427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 129, 133, 137?\n\"Answer: 4*m + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/4 and ((-202)\/4 - -2)\/31?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*s - 299 = s, 3*s = -5*f + 296. Let z be (-2)\/(60\/(-10)) - (-1644)\/9. What is the highest common factor of f and z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Total of -0.039107 and 0.0443.\nAnswer: 0.005193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 905989 and 535717?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:14 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458*u**3 + 293*u**3 - 84*u**3.\nAnswer: 667*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -2828\nAnswer: 13\/2828","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - n + 270, b - 188 = -3*n - 120. What is the remainder when 512 is divided by b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 3*f - 3. Suppose 3*j - 3*u + 9 = -0*j, -2*u + 10 = 0. Suppose j*x - 4*n = 2, -1 = -4*x - n + 3. Let v be x + 7 - (-4)\/(-1). Determine s(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.302, -4, -92, 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 - (50 + (-28 - 7))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 492709.23 microseconds?\nAnswer: 0.000005702653125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2458678?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 47554 and 285323\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + 0 - (116 + -95). Suppose 0*t - 2*t = 18. Are j and t unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11391000*v**5 + 2*v**3 - 18319365*v?\nAnswer: 227820000*v**3 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3179 = -194*i - 2121 + 838 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8041306 and 598?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-258)\/387)\/(2 + (-75)\/27 + 1). Sort -14, -2, 5, x, 18.\nAnswer: -14, x, -2, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y - 8*r + 669728 = 0, 5*r + 223235 = -y. Round y to the nearest one thousand.\nAnswer: -223000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1787.60769 take away 4753445?\nAnswer: -4751657.39231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13 + -5 - (40 - 33). Let k = -12\/5 + 73\/20. What is the third biggest value in k, -3, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 297 + -10358?\nAnswer: -10071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lllu when four letters picked without replacement from {u: 4, l: 13, q: 3}?\nAnswer: 286\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + (2 + -5 - -2). Let b(o) = -o**3 - 4*o**2 + 5*o - 4. Let q(v) = -v**3 - 3*v**2 + 4*v - 3. Let w = -3 + -1. Let d(l) = s*b(l) + w*q(l). Factor d(j).\nAnswer: j*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 5*a + 6 = -2*l, -4 = 2*a + l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 162072?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 19, -3\/4, -0.3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 311943, 311945, 311947?\nAnswer: 311949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2653 + 1600. Is 62 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67, -104, -151, -214, -299, -412, -559?\n\"Answer: -p**3 + p**2 - 33*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1062\/15 - (-1)\/5. Let h = -67 + p. Let l = 2.2 - 2. Which is the second biggest value? (a) h (b) l (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 15 = -9. Suppose h = -0*h - v*h. Which is bigger: 1\/9 or h?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110352955 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -11*k**2. Let j(h) = -6*h - 7. What is j(c(r))?\nAnswer: 66*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/8, 0.5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -16. Suppose 50 = -i*k - 2*k. What is the tens digit of 246\/10 + 6\/k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 685 = 685 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 7 = 17 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-8)\/(-1)*38\/(-152))\/((-86)\/2).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -13*u**4 - 3*u**2 + u - 3. Let i(g) = -39*g**4 - 8*g**2 + 3*g - 8. Let q(a) = -8*h(a) + 3*i(a). Find the second derivative of q(o) wrt o.\nAnswer: -156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(-3*3*(sqrt(147) - (sqrt(147) + 2)) + sqrt(147)*2*1 + -2*(sqrt(147) + 0))**2.\nAnswer: -1294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2376, -2330, -2246, -2118, -1940, -1706, -1410, -1046?\n\"Answer: i**3 + 13*i**2 - 2390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*l - 3136 + 2704 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*q - 129. Let h = q - -29. Solve -h*l - 5*r - 1 = -3*r, -l + 4*r + 23 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120673443.\nAnswer: 3, 11, 193, 18947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/3 (c) 1\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -923 - -36\nAnswer: -887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:12 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 921 and 25481?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 3*s - 88, -s - 8*g = -6*g - 31. Calculate the greatest common factor of 217 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 0 (c) -0.271 (d) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 5\/14, -1, -2, -1.6?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274*u + 299*u - 815*u + 278*u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(1 + 0 - 4)*(-3*k + 4*k - 2*k + (3*k - 2 + 2)*(2 + 0 + 9) + 2*k - 1 + 1).\nAnswer: -306*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17914 is divided by 407.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 798994765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 579740.23?\nAnswer: -579730.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 941133328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven fifths of a kilogram?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-2) - 38\/36. Let f = 97\/45 + u. Let o = 0.51 + -0.11. Sort o, f, 3\/10 in descending order.\nAnswer: f, o, 3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3808 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 167, 2609, 9599, 23411, 46319, 80597, 128519, 192359?\n\"Answer: 379*x**3 - 211*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -5*q**3 - 7*q - 4. Let c(w) = -14*w**3 - w**2 - 22*w - 11. Give 4*c(v) - 11*p(v).\nAnswer: -v**3 - 4*v**2 - 11*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + p + 3, -2*l + 0*p = 5*p + 1. Suppose -17 = 2*o + 5*m - 74, l*o + 3*m = 55. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -b**2\/2 + 21. Let x(h) = h**3 - 3*h**2 + h + 1. Let f be x(2). What is s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21668483 - 3?\nAnswer: -21668486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2714 + 2712. Put -4, -13, 8, w, 5 in descending order.\nAnswer: 8, 5, w, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56030 and 65.\nAnswer: 56030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03079 rounded to three decimal places?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (9 - 133)) + -28.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*c + 30 = -320 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 11:29 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -6. Let q = 4 - l. Let u = q + 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.15186081 from -0.008.\nAnswer: -0.15986081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 55*u**2 - 4*u + 4 - 57*u**2 as r*u**2 + v*u + g and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b (base 15) to base 2.\nAnswer: -1010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -17. Let i be (-8)\/t - (-8)\/3. Suppose -l = i*l. Solve l = 5*x - 3*q - 3, -20 = -4*x - 2*q - 0*q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 81.88. What is the smallest value in 0.2, w, -0.06, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 8*t - 8. Let q be f(6). Solve -q*u + 4 = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 23*m - 31. Let o be r(3). Calculate the remainder when 2445\/57 - (-4)\/o is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 1091279002.\nAnswer: 1091279002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-2) - (-6)\/(42\/(-5)). Let m be 272\/(-833)*(-14)\/4. Solve -2\/7*c**2 + m - o*c**3 + 8\/7*c = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8234472*2.\nAnswer: 16468944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/39 (b) -5 (c) -2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 560, 5, 1, -1, 730 in descending order.\nAnswer: 730, 560, 5, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 16*n + 14. Suppose -7*v + 11*v - 60 = 0. Let u be h(v). Is u less than or equal to -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 14 = -4*j + 3*i, 0 = -2*i + 18 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/7 + ((-210)\/(-882))\/((-265)\/(-30) - 8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y*(y**(-2\/19)\/y)\/y*y)))**4\/((y\/(y**(5\/8)*y*y))\/((y*(y\/(y**(-15)\/y))\/y)\/y)) assuming y is positive.\nAnswer: y**(3223\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1499\/22607?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-380))\/(-6*(-36)\/(-135))*4?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1396584806 to the nearest integer?\nAnswer: 1118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*k**3*v + 529*k**3 + 14*k**2 + 909*v wrt v?\nAnswer: -7*k**3 + 909","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 332, 3, -819 in increasing order.\nAnswer: -819, 3, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10338 and 876?\nAnswer: 1509348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/24116 and 35\/313508.\nAnswer: 313508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133)\/(-1*sqrt(7)) + sqrt(19) - sqrt(19))**2 + 4 - (5 + sqrt(19) + sqrt(19) + 1 + -5).\nAnswer: -2*sqrt(19) + 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttttttttn. What is prob of sequence ttt?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/30 - 1\/3. Let u = 0.448 - 0.228. Let p = u - 0.62. Which is the second biggest value? (a) p (b) 2\/15 (c) 2\/11 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 55, 36, -11, -98, -237, -440, -719?\n\"Answer: -2*m**3 - 2*m**2 + m + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -386 + 18527\/48. Let t = -8718.5 - -8718. Put -0.1, t, q in descending order.\nAnswer: q, -0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 25. Let o(s) = -8 + 3*s**2 + s**3 + 5*s**g + 0*s**2 + 0 + 5*s. Does 10 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-4)*10 - 0. Suppose 5*f - 20 = -q. Suppose -2*l - 34 = -4*z, 0 = -4*z - 6*l + f*l + 29. Calculate the greatest common divisor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngq when three letters picked without replacement from gqnqngqqggngnnqngng?\nAnswer: 245\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p + 5. Let o(s) = -12*s + 71. Determine -2*k(q) + o(q).\nAnswer: -10*q + 61","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 48*m**3 + 11*m**2 - 104*m + 7.\nAnswer: 288*m + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + q - 3. Let d = 6 + -5. Let m(c) = -c**3 - c. Let o(p) = d*g(p) + m(p). What is the first derivative of o(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - g + 35 = 0, -4*g + 1 + 11 = 0. Suppose s = n - 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 51 - 9)*(3*l + 6 - 6)*(3 - 4 - 1)*(3 + 3 - 4)*(1 + 0 - 4 + 3*l).\nAnswer: 2232*l**2 - 2232*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vswwfwg. Give prob of sequence vww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -259 - -493. Let p(g) = 144 - 16*g - g**2 - g + 6*g + 5*g + g. Let s be p(-14). What is the highest common factor of s and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, p: 5, y: 8, m: 2, t: 1, l: 2}. Give prob of picking 1 t, 1 m, and 1 v.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2299627 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-234)\/216 + 1\/3. Which is the biggest value? (a) q (b) 3 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1564 and 92.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294094?\nAnswer: 2, 147047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 5 - -3 - (6 - 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -130*i**3 + i**2 - 16 wrt i?\nAnswer: -780","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 14 - 27 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 2*j**2 + 8*j + 5. Let n(m) = 2*m - 25 + 19 - 2*m**2 + 3*m + 0*m**2. Let y be n(2). Let t be x(y). Sort t, 2, -2 in ascending order.\nAnswer: -2, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 84*w - 38. Let v(f) = 43*f. Determine g(v(i)).\nAnswer: 3612*i - 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1071397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 1, w: 1}. Give prob of sequence tt.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 243*t**4 + 432*t**3 + 138*t**2 - 48*t + 3 = 0?\nAnswer: -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7\/2*v**3 - 90*v**2 - 1131\/2*v + 169 = 0 for v.\nAnswer: -13, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -65 + 0?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 57999 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.1 take away 531?\nAnswer: -516.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sro when three letters picked without replacement from rrttsrksktkrko?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 476428.4 meters?\nAnswer: 476428400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -4 (b) 0.1 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 15 + 29*b + 15 + 374*b.\nAnswer: 403*b + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 238, -4\/17, -0.9, 5, 3.\nAnswer: -0.9, -4\/17, 3, 5, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g = 356 + 268. Let a(n) = -7*n**3 - 13*n - 13. Let p(s) = -s**3 - 2*s - 2. Give g*p(v) + 6*a(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-1)*(-7)\/((-42)\/(-8)). Let s(o) be the second derivative of o**3\/3 - o**2\/2 + o. What is s(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzvh when four letters picked without replacement from {h: 1, z: 2, r: 1, f: 2, k: 1, v: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -185.7 and -1?\nAnswer: 184.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.85 + 3. Let n = 0.07 - -0.01. Let b = n - o. Round b to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3026183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 18*g**2 + 58*g + 314. What is the hundreds digit of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41809619 = 41809663?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-one fifths of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -498*h**3 - 6*h**2 - h + 4. What are the prime factors of a(-1)?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 38, 120, 288, 584, 1050, 1728?\n\"Answer: 7*l**3 + l**2 + 30*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 20 in increasing order.\nAnswer: -3, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1.7 (b) 0.3 (c) -2 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 82. Let l be 23 + -18 - (-10)\/(-2). Suppose 5*i = i + 5*o + 911, l = 4*o + 12. Calculate the highest common divisor of z and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v - 5. Let d(n) be the third derivative of 0 + 0*n + 1\/24*n**4 + 0*n**3 + n**2. Let g be d(4). Determine p(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7227 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 5, u: 11}. What is prob of picking 1 u and 1 f?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**2 + 0*b**2 + 6*b**2. Let n(i) = i - 2. Let y(u) = -2*u + 5. Let d(p) = 5*n(p) + 2*y(p). Determine d(l(x)).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 904 - 12)*(-y**2 + y**2 + 2*y**2).\nAnswer: -1854*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from wwwwpp?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/11 + 126\/33 + 0. Suppose -2*o + 13 = -r, -33 = -5*o - 3*r - 17. Solve -q = q + p*z + 14, -15 = 5*q + o*z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 529*r + 19780. Give n(-31).\nAnswer: 3381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 640720783 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 + m**4 - 4*m**4)*(-2 + 2 - m) - m**3 - m**5 + m**3 + (5*m**3 - 5*m**3 - 2*m**4)*(-m - 3*m + 2*m).\nAnswer: 5*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*b + 45, -8*b + 6*b - 3*d = 3. Suppose b*s = 3*u + s + 3, -3*s + 29 = 5*u. Solve 0 = 5*i + 20, 5*w + 2 = -7*i + u*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -799*u + 806*u = 14. Let z be -4*u*2\/((-8)\/(-150)). Round z to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11542 divide 697875488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 3*g - 1. Let i(s) = 12*s + 66. Let b(v) = -2*f(v) + i(v). Let u be b(-11). Solve -2*q + 12 = -4*w - 0*w, 3*w - u*q + 10 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*a**3 - 69360*a**2 - 3609411*a - 45329687.\nAnswer: (a - 743)*(10*a + 247)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 78\/(-195) + 2*(-17)\/(-10). Let v(p) = -p**3 - 2*p - 3. Let n be v(0). Put n, 15, 5, u in increasing order.\nAnswer: n, u, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 226*m + 6. Let c be i(7). Let n be 8\/56 + c\/7. Suppose 2*r - 193 - n = 4*w, 0 = 3*w + 15. What is r rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 377.7 - 378. What is the biggest value in 356, f, 1\/4, -4?\nAnswer: 356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 12:24 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*z + 64*z - 123*z = -225360. Is 16 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1200 and 195312.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15096 and 3241866.\nAnswer: 12967464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 8\/5 of a meter?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - (-140)\/6*(-24)\/(-96). Put -1, o, 114 in descending order.\nAnswer: 114, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -6. Suppose -18 = -628*g + 622*g. Solve -g*y + d = -3*n, 2*y - 3 = -3*y - 2*n for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*x - 64962, -2*k - 3*x + 60130 = -4784. What is the ten thousands digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 67*x**2 - 61.\nAnswer: 134*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105 + -109.04. Let h = -0.04 - f. Which is the third biggest value? (a) 3\/5 (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1479*w**3\/2 - 5913*w**2 + 10305*w\/2 + 21 = 0.\nAnswer: -2\/493, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 328 a factor of 294544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 186021931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 35037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * -5.8.\nAnswer: 4.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.791 - 0.9476. Let t = j + 0.16. What is t rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.731553l to millilitres.\nAnswer: 9731.553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 475 - 25 = 0. Suppose 4*g + w = -3*k, 0 = -k + 4*k - 3. Let i = g + 112. What are the prime factors of i?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110882 is divided by 711.\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -52406051 (base 7) in base 4?\nAnswer: -100313222333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z + 3*z - 4*z + (-2 + 1 - 1)*(0*z - 4*z + 2*z) + 3*z + z - 2*z - 3 + 3 + z - 4*z + 3*z + 4*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2887, 5941, 8995?\nAnswer: 12049","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1093367345.5 rounded to the nearest ten thousand?\nAnswer: -1093370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*g - 20*g - 56*g + 9*g - 47*g.\nAnswer: -80*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25*-0.331.\nAnswer: 8.275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 3. Let o(c) = -5*c - 3. Let r(p) = 4*h(p) - 3*o(p). Let z be r(-7). Suppose z*t - 44 = 4. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198603603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16452 or -1.52?\nAnswer: 16452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9246082g?\nAnswer: 0.0000009246082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -406 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 312880256?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -60. Let u be 5616\/(-1800) + (6 + 0)\/2. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56.01 + 56. Let v = a + -17.99. Let k = v + 17. Sort k, 2\/17, 5, -3 in descending order.\nAnswer: 5, 2\/17, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -14*(-313)\/396 - 2\/(-12). Let k = y + -126\/11. Which is bigger: k or 0.24?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.6 + 66.6. Let v = -66.95 + s. Let i = v - -4.9500223. Round i to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3. Let r(o) = -1. Let x(i) = 2*q(i) - 7*r(i). Let m(a) = -a - 3. Let c(t) = -t**2 - 9*t + 8. Let p be c(-10). What is p*x(j) - m(j)?\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 17 = -6*l. Let t(h) be the second derivative of -2*h + 0 - 5\/6*h**3 - 1\/12*h**l + 3*h**2. What is t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o - 2 + 2. Let y(r) = 2*r + 3. Let g(d) = -d - 2. Let z(t) = 3*g(t) + 2*y(t). What is z(i(w))?\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3323 - 16613\/5. Let g = -64\/371 + -6\/53. Which is the closest to 0? (a) -8 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 3. Let f be z(-5). Let b be 53\/4 - f\/(-8). Let m be (-26)\/(-3)*(-75)\/(-10). What is the greatest common divisor of m and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 181 or -155?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 452577*h*t - 2*h + t + 1149682 with respect to t.\nAnswer: 452577*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2586375 by -495.\nAnswer: -5225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.176 + -0.719. Let f = -60.135 - -60. Let v = s + f. What is v rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhbjfebffhjf. Give prob of sequence hbfh.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.35 - -0.05. Let c = h + -2.4. Let s = -119 + 123. Is s <= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = -3. Let k = -205\/38 + 7\/114. Let n = -55\/12 - k. Which is bigger: q or n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -53*o**3 + 8*o**2 + 2*o + 583. Let x(b) = -4*b**3 - 2*b**2 - b - 3. Let k(u) = r(u) + 4*x(u). Find the first derivative of k(q) wrt q.\nAnswer: -207*q**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3 + 5. Let j be (11\/11)\/((-2)\/r). What is the units digit of (j + 5 - 4) + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 39726\nAnswer: -7945.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 177035.6l in millilitres?\nAnswer: 177035600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 1)*((-6*u + 2*u + 3*u)*(-3 - 1 + 2) + (-19 - 104 - 16)*(-u + u + u)) to the form h*u + y and give h.\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 2*b**3 - b**2)*(35*b**2 - 1266 + 1266).\nAnswer: 70*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 6*c**2 + 5 + c**3 + 45*c - 47*c. Is d(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -81*j + 107*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8105 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1686, 3411, 6286, 10311?\nAnswer: 15486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23012322 - 222230?\nAnswer: 22130032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -964.38 and -122.\nAnswer: -1086.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*13\/195*9.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -22. Suppose 0 = r*i + 12, -i - 11 = -3*a + i. Suppose -u + a + 16 = 0. Sort u, 2, -4 in descending order.\nAnswer: u, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*l - l**3 + 34*l + l**2 - 4*l**2 to the form y*l**2 + w*l + s + g*l**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -15 - -3 - (19 + -14 + 91)?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 260*n**3 - 95*n**2 - 106*n - 11. Calculate a(-1).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10020 and 517533?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*y - 2*j, 4*j - 28 = -y - 3*y. Solve -5*x + 3*k = -6, 3*x + k - 14 = -y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of 2*p**2 + 5. Let o(u) = -21*u**2 - 7*u - 6. Let x(c) = -18*c**2 - 6*c - 5. Let y(v) = 5*o(v) - 6*x(v). What is q(y(l))?\nAnswer: 12*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 56528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 60, 114, 156, 180, 180, 150, 84, -24?\n\"Answer: -l**3 + 61*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*s + 115 - 41*s + 86*s + 343 + 2*s**2.\nAnswer: 2*s**2 - 2*s + 458","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 15 = 5*b, -2*b = -5*b + 3*k. Sort 62, 2, b in decreasing order.\nAnswer: 62, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 - 31 - 31 + 8*r**2 + 101.\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2525 = 270*s - 15025 for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 3*y = 3*h + 10700, -4*y - 2*h = -10720. What are the prime factors of y?\nAnswer: 2, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -4, 3, 16, 35, 60, 91?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 + 62. Suppose 3*j = 5*i + y, 58 + 46 = 4*j - 4*i. Let h = -8 + j. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/5)*r)\/r**(-7\/5)*r**0*r*(r\/((r*r**(-3))\/r)*r)\/r*r*r*r*r*r*((r**(-1\/3))**37)**(7\/2) assuming r is positive.\nAnswer: r**(-881\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/((-18)\/(-184)))\/((-2)\/3). Let o be (1 + 15\/(-9))*j\/4. Let v = 35 - o. What is the smallest common multiple of 14 and v?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - -1.96. Let g = 8 - 7.8. Let r = g + -0.1. Sort 4, r, p in decreasing order.\nAnswer: 4, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, m: 9, f: 1, j: 1}. Give prob of sequence gj.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 111152 (base 6) to base 12\nAnswer: 54b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14120706, -14120700, -14120692, -14120682, -14120670, -14120656?\nAnswer: -14120640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 16, -636, 3, 94 in decreasing order.\nAnswer: 94, 16, 5, 3, -636","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 13*p + 2. What is the least common multiple of z(18) and 472?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108 + 58 + 340)*(-8 + 8 + i**2 + 5*i).\nAnswer: 506*i**2 + 2530*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 5*c, -6*r + 9*r = 8*c. Sort -5, 4, 43, r, -2 in ascending order.\nAnswer: -5, -2, r, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(45\/(-2))*3\/18?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 36*a + 2*a**2 - 7*a**2 - 73*a + 32*a + 5 + a**3. Calculate w(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2160*z + 21582. Let p(u) = -720*u + 7184. Let a(h) = -3*k(h) + 10*p(h). What is the first derivative of a(o) wrt o?\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1121, 1370, 2015, 3254, 5285, 8306?\n\"Answer: 33*f**3 + 18*f + 1070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -33 (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 - 2*k**3 + 6*k**3)*(-k - k + 0*k) + (-6*k**3 - k**3 + 2*k**3)*(-3*k + k + 3*k).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in -2, 4, -145?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20\/57 or -1\/22?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0.09187675\nAnswer: -1.09187675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus -15.2?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 97 + 61 = 2*a, 2*i = a + 110. Suppose 11*b - i = -10. Solve 0*m + 4*m + 4 = b*x, 0 = -2*x + 3*m - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2 - 8)*(0*p + 2*p - p).\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*(-1104)\/(-36). Let q = j - 30. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152)*-1)\/sqrt(8) - (sqrt(76) + sqrt(76) + sqrt(76)*1)\/sqrt(4))*-3.\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -6. Suppose 5*g - m*g = 45. Suppose 3*l = -0*l + g. Solve 0 = 2*u - 5*j + 9, u - 5*j + l + 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 488 - 464 = 0. Let t(v) = -v - 3 + 2*v - v**3 - 3*v**2 + 1. Let i be t(o). Calculate the highest common divisor of i and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132120303102 (base 4) to base 9.\nAnswer: 15881146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/2 of a meter?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 3 + 17. Suppose 451 = q*f - 653. Suppose i - f = -108. Calculate the greatest common factor of i and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110101011011100010 (base 2) in base 15?\nAnswer: -977b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 216 = 29*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10227 and -26148.\nAnswer: 267415596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2809, -2739, -2623, -2461, -2253, -1999, -1699?\nAnswer: -1353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozhuh. Give prob of sequence zh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:58 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-30)\/3)\/((-3)\/(-3)). Let d = g - -18. Calculate the greatest common factor of 8 and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) -2\/83 (c) -5 (d) -1\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 209366273 to the power of 1\/3, to the nearest integer?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -22*j - 132. Calculate the lowest common multiple of t(-8) and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/((x\/(x\/(x\/(x*x\/x**(1\/8)))))\/x*x*x*x))\/x**(1\/7))\/(x\/x**(2\/9))**(-28))**(-3\/2) assuming x is positive.\nAnswer: x**(-10841\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*a**3 + 3*a**6 + 186*a**2 + 20*a**3 + 2*a**5 + 82*a**2 - 2*a**5 wrt a.\nAnswer: 360*a**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4509 and 330994?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11710 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 10*o**5 - 5*o**2\/2 - o + 64. What is the second derivative of t(b) wrt b?\nAnswer: 600*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.1 - -14. Let m = 0 + 0.2. What is the nearest to i in -3, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - c. Let u be h(-2). Let x be u\/(-4) + (-66)\/(-644). Let j = -4\/23 + x. What is the second biggest value in 5, 2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a millennium in months?\nAnswer: 57000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 9*n - 8. Let k be i(10). Suppose -2*t + 3*q + 38 = -2*q, 2 = k*t + 4*q. Suppose 5*y = t*y - 80. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**5\/5 + 16*w**3\/3 + 15*w**2\/2 - w + 6. What is the second derivative of h(y) wrt y?\nAnswer: 12*y**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1639158 - 2?\nAnswer: 1639156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/3*90\/(-60). Let f be 15\/(p*1 - 750\/390). What is the highest common divisor of 105 and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + 0. Let v(j) = k*j - j - 8*j. Let r(b) = -18*b + 38*b - 18*b. What is r(v(c))?\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 789253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191637 to the power of 1\/2, to the nearest integer?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g**(-2\/7)\/g*g))\/g))**(-1\/5))**(-27)\/((g**4*g)\/g**(1\/2))**(10\/19) assuming g is positive.\nAnswer: g**(198\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 2, k: 1, b: 1, a: 1, h: 1}. Give prob of picking 1 h and 1 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -824.9 + 819.9. What is the nearest to 2.1 in -0.08, 1\/9, o?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-26)\/14 + 2)*92\/1426. What is the smallest value in m, 2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -61*a + 487. What is l(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*i + 23*i - 36. What is the second derivative of 4 - 4 - i*r**3 + 9*r + 29*r**3 wrt r?\nAnswer: 102*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 602.562664 + -0.560664. Let b = a + -608. Let m = -6 - b. Round m to 4 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 13. Let h be 6 - (-3)\/(-1 + b). Suppose -2*l + 6*l + 5*f = 99, h*l - 126 = -4*f. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 v, and 1 o when three letters picked without replacement from vlhhlohhovfloolh?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v. Let n(y) = -2197164421*y**2. What is c(n(u))?\nAnswer: 2197164421*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - -17?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pypq when four letters picked without replacement from ddypypydcyycqmyyy?\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y**4 - 3*y**3 + 10. Let f(r) = 4*r**4 + 2*r**3 - 9. Let m(s) = -2*c(s) - 3*f(s). Differentiate m(n) wrt n.\nAnswer: -24*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 28 = 6*a. Let m = -4 + a. Let d = -4 + 5. Sort -4, d, m in ascending order.\nAnswer: -4, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1761, -3523, -5285?\n\"Answer: -1762*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -3\/2*l**2 - 1\/6*l**3 - 2*l - 1\/8*l**4 + 0. Let g(n) be the first derivative of f(n). Differentiate g(r) wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5056 less than 11289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 914.\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 2:37 AM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*h = -59250 + 52020 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-756)\/(-84) - (913\/99 + 12\/(-27)). Find k such that -2\/3*k**2 + 2\/9*k + u*k**4 - 2\/9*k**3 + 4\/9 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) -0.194 (b) 10 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 4:01 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7253 - 6774. Suppose -4*z + 12 + 8 = 0, 4*d - 5*z - 3103 = 0. Let k = d - r. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3986?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -772\/9 + 86. Sort 3, c, 2.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -502\/201 greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3337, 7776, 12215?\nAnswer: 16654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-36)*(p*p**(2\/3)*p*p)\/p assuming p is positive.\nAnswer: p**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -9*q**2 - 6*q + 3. Let s(i) = 14*i**2 + 9*i - 4. Let h(j) = 8*d(j) + 5*s(j). Let u be (-1)\/(-2) + (-14)\/4. Determine h(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260110 and 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v - 9 + 4*v - 4*v**2 + 5*v**2 - 6. Let s(l) = -l + 1. Let w(x) = b(x) + 6*s(x). What is the units digit of w(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14949184 divided by 4\nAnswer: -3737296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*l**2\/4 + 291*l\/4 - 29\/2 = 0. Calculate l.\nAnswer: 1\/5, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14601061 + 14601057 - 29202118 + 7*f**2 + 0*f + 0*f.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-83 + 530292\/6384).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = n - 4. Suppose -2*i + 15 = i. What is the second derivative of 0 + 0 + i*q**2 + q - 2*q**n wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -340656 + 2461?\nAnswer: -336175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 20 = -5*f, 0 = l - 3*f + 2. Let n = 8 - l. Let a(p) = 3*p**3 + 2*p**2 - 2*p + 1. What is a(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4148147 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i + 9*i + 15 - 5.\nAnswer: -2*i + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -2. Let u = j - 8. Let h be 391\/(-115) + 1 + 2. Which is the second smallest value? (a) 7\/3 (b) 3\/5 (c) u (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 6*a + 3 - a)*(-3 + 1 + 3).\nAnswer: -7*a - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 640*f.\nAnswer: 4*f*(f - 160)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5925 and 663837.\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 389 a factor of 23341181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 * -71\nAnswer: 227.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p**3 - 5*p**2. Let d(f) = 2*f**3 - 3*f**3 + 3538*f**2 - 3537*f**2. Calculate -5*d(h) - j(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/(-108) - 0)*-3. Which is the second smallest value? (a) -33 (b) 0 (c) l (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -38*c + 116. Let w be u(3). Solve 3*d + 5*z = -10, 6*d + 6 = w*d - 3*z for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2*z + 18911*n*z**2 - 11*z**2 - 76*z wrt n.\nAnswer: 6*n*z + 18911*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -173*j**3*z + 12*j**2 - 11*j*z wrt j.\nAnswer: -1038*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085718 rounded to 3 decimal places?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 98*f + 2. Let d be u(3). Let x be (d\/(-56) + 2\/7)\/1. Is (x - 7)\/4 - 2*-103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b - 4*b + h - 73, 3*h - 3 = 0. What is the greatest common divisor of 624 and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -11128?\nAnswer: -4451.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 11:06 AM?\nAnswer: 5:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -27*d + 301. Let s be r(11). Let q = 17582 - 51106\/3. Let x = q - 542. Do x and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 328*v - 2012. Determine i(6).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f + 7. Let s be 1\/2 - 58\/4. Let o = s + 21. Let h be j(o). Solve h*u = -3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -15*v - 277. Determine u(-19).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*y - 276*y + 1 - 248*y - 327*y + 95*y.\nAnswer: -486*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6423 to two dps.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 406 + -434 - (-18 + -1 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1996715490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/48 + 6\/(-4)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 1, -4363, 3, -5 in increasing order.\nAnswer: -4363, -5, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*1 + 19 + 125. Let d = 253 - n. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, 0, 1.\nAnswer: -7, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z. Let q(v) be the third derivative of 0*v + 1\/24*v**4 + 0 + 9*v**2 + 0*v**3. Determine m(q(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058101251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (3 - 1)) + 1. Let d(z) = -5*z. What is the remainder when 15*12\/(-16)*8\/(-10) is divided by d(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -64 or -25?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) + sqrt(612) + -3 + -3 + sqrt(612))*4)**2.\nAnswer: -3456*sqrt(17) + 88704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 501640 minus -0.0385825446?\nAnswer: 501640.0385825446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from buuuuuub?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w**2 + 2. Suppose -2 = -4*c + 6. Let f(o) be the third derivative of o**6\/60 + o**5\/30 + 5*o**3\/6 + 7*o**2. Calculate c*f(i) - 5*n(i).\nAnswer: -i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1543?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 297*a**2*r - a*r**2 - 4*a + 606*r**2 + 3*r wrt a.\nAnswer: 594*a*r - r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/15 + -5 - (0 - -2)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**2 - 8*x - 237*x + 31*x - x**3 + 6*x**2 - 97*x.\nAnswer: -x**3 - 311*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*p + 12, -2*p + 2 = 3*a - 6. Let w = a - 0. Let d be (-1)\/(-6)*10 - 386\/579. Which is smaller: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Let s = 267 - 270.94. Let z = -0.06 + s. Which is the biggest value? (a) l (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + x + 0*x)*(2*x**2 - 3*x**2 - x**2) - 10*x**2 + 2*x**3 - 3*x**3 + 0*x**3 + 0*x**3 + 5*x**3 - 4*x**3 as j*x + t*x**3 + r*x**2 + v and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 262 + (-3 - (3 + -4)). Suppose g - 31 = a. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17508809 - 3?\nAnswer: 17508806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29861565 is divided by 1727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11692680 rounded to the nearest 100000?\nAnswer: 11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(114) + sqrt(114) + -4*sqrt(114)*2)\/sqrt(6).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 4*w. Let o be 1 + 2\/2 + 1. Let i(q) = 2 + 1 + q - o. Calculate i(t(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*0\/(20\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*n + 3*l - 68, 46 = 4*n - 5*l. Let d = 7 - n. Let m = d - -8. Solve 0 = 3*s - m + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*(sqrt(14)\/(sqrt(56)\/sqrt(8)))**2 - ((sqrt(100)\/sqrt(5))\/sqrt(10) + ((sqrt(162) + sqrt(18))**2 - sqrt(18)) + -1).\nAnswer: -279 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -29820 rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000218510881 to seven decimal places.\nAnswer: -0.0000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-2)*12\/(-36).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3*c - c - 3*c. Let r be n(-2). Let d be (-255)\/(-9) - r\/6. Calculate the greatest common factor of 70 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((20\/(-5))\/(-12)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-3)*((-16902)\/11 + 108\/198). Solve -589 = 11*l - n for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 19*k**2 + 6*k. Let x(f) = 4*f**2 + f. Suppose -5*h - 5*i = 65, 21 = -h + 3*i - 8*i. Let w(u) = h*x(u) + 2*m(u). Let t(a) = a. Give w(t(z)).\nAnswer: -6*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (7 - 5)) + 5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -70, -31, 46, 179, 386, 685?\n\"Answer: 3*d**3 + d**2 + 15*d - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000067639277 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 5*a - 82 = -4*j, -4*j - 4*a = -88. Suppose -643 + 61 = 63*b - 3228. Calculate the remainder when b is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + (-2 - (6 - 9)) + (3 - -2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1746 - 4554 = -9*m. Suppose 4*j = -2*w + 310, 2*w + j - m = -j. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-8))\/((-198)\/1848*35\/2).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000175955 to 7 dps.\nAnswer: 0.000176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 7:06 PM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 (base 13) in base 14?\nAnswer: 2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus -197191.63?\nAnswer: -197192.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -12, -89 = -0*d - 4*d + 5*j. What is the remainder when 61 is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 74\/1041 and 19\/24?\nAnswer: 8328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5890 + 1466 + 39*h**2 - 9*h**2.\nAnswer: 30*h**2 + 7356","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -148386, -298618, -448850?\n\"Answer: -150232*n + 1846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**5\/3 + 104*k**4\/3 + 1904*k**3\/3 + 12544*k**2\/3 - 10976*k\/3 - 307328\/3.\nAnswer: 2*(k - 4)*(k + 14)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -497 - -500.04. What is b rounded to 0 dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -7*t**2 + 165*t - 192. What is z(22)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 3)*(-t**2 + 2*t - 2*t)*((2 + 4 - 4)*(t - 1 + 1) + 96 - 5*t - 96).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3072518.2844 to the nearest ten thousand.\nAnswer: 3070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -3*d + 162. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p + 1. Let i(f) = -2*f + 1. Suppose 16 = 6*y - 14. Determine y*a(t) - 6*i(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1397591013*p**2 + 265013786 wrt p?\nAnswer: -2795182026*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 766299033 plus -0.2?\nAnswer: 766299032.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 870125.1 millilitres?\nAnswer: 870.1251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6*a**3 + 11*a + 9. Let p(x) = -3*x**3 - x**2 - 12*x - 8. Give -3*p(d) - 2*w(d).\nAnswer: -3*d**3 + 3*d**2 + 14*d + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8*p - 11 = 0, -3*p + 10 = 4. Sort -2, -10, v, 24 in decreasing order.\nAnswer: 24, v, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -26*v - 1246. Let i be t(-48). Calculate the highest common divisor of 1082 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 9*j. Let s(c) = 5*c. Let w(k) = -7*s(k) + 4*t(k). Let u(i) = i**2 + 3*i. Let x(g) = -12*g**2 - 34*g. Let p(b) = 68*u(b) + 6*x(b). Calculate p(w(h)).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1444 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**2 + 35*q**4 + 5*q - 4*q - 10*q**4 - q**3 - 23*q**4 + 3 as w + d*q**4 + y*q + x*q**2 + m*q**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2709 and 9891?\nAnswer: 425313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 16*u + 9*u - 10383. What is the remainder when u is divided by 74?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24514, -30, -5, 9, 1.\nAnswer: -30, -5, 1, 9, 24514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 9:34 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 197838?\nAnswer: 1582704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 725679 and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 642496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 5*m + 4. Let z = -450 + 480. Let g be 0 - (-3 + -2 + 3). Suppose 3*l = -g*l + z. Give r(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 - -41. Let h be 37\/(-18) - (-4 - -2). Which is greater: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2895016037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -363 (base 7) in base 5?\nAnswer: -1232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 9*o**3 - 36*o**2 + 3*o + 21. Let f be g(4). Calculate the highest common factor of f and 1023.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 2 - 2)*(-59*z + 74*z - 34*z) - 4*z + 0*z + 0*z to the form j + i*z and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - -1. Let g = 1\/44878 + -33659\/22439. What is the closest to -1\/3 in -1\/3, g, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-36)\/8)\/9)\/((-3)\/(-4)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a tonne in kilograms?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 3*a**2 + 7 + 0*a**3 - 1\/3*a**4 + 1\/90*a**6 - 1\/45*a**5 + 0*a. Let g(r) be the second derivative of v(r). Factor g(i).\nAnswer: 4*i*(i - 3)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 + 24*g + 25. Let t be q(7). Let u(p) = 16*p + 78. Let b be u(t). Solve 3*s = 5*f - b, -21 = 3*s - 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 10:19 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -178001 (base 11) in base 10?\nAnswer: -274187","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**2 + 3*j**2 - 3*j**2 - 5*j**2 + 2*j**5 wrt j?\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = o + 18. Is o at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5222416 and 1216?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/((-5)\/(-20)). Suppose -v + 12 = -2*x. Which is the second biggest value? (a) 4 (b) x (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 6:36 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from ggoiipoaii.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24821202?\nAnswer: 2, 3, 7, 293, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-21 - -11 - 2 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m + 115. Let z = 326 + -320. Calculate the remainder when y(z) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-19))**(-25\/3))**(-2\/19) assuming h is positive.\nAnswer: h**(-50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1514.83466 + -0.13466. Round h to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1, 86576.1, -4\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = -6. Suppose -x = x + k. Let f be 0*(-1)\/x + 2. Solve -f*i = -i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 2*j = -3*t - 18, -4*t + 0*j - 9 = -3*j + 2*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*q + 5*n, -3*q - 13 = -n + 5*n. Let w be 26\/8 - (-9)\/(-36). Let g(p) = -5 - 6*p**2 + p + 0*p**2 + 4*p**2 - p**w + 1. Give g(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i**2 + 188*i + 314. Let a be m(-61). Solve -2 = g - h, 5*g = 9*h - 5*h - a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 7:10 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(170)*1*4)\/(1*sqrt(90)*-5).\nAnswer: -8*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-15))\/((-81432)\/(-20880))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339*c**3 - 29 - 25 - 1340*c**3 + 104 - 50.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8*r + 1 - 4.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**6\/18 + 203*z**5\/180 + 95*z**4\/36 - 11*z**3\/6 + z**2 - 17*z - 181. Factor r(o).\nAnswer: -(o - 11)*(o + 1)*(20*o - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 627 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 3*r - r + (2 - 1 - 3 - 32 - 26 - 33 + 2 + 2 - 6 + (0 + 1 - 3)*(-1 + 3 + 0))*(4*r - 2*r - r) to the form a*r + q and give a.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c**3 - 13*c**2 + 8*c + 2. What is the remainder when 24 is divided by y(6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27738*r**2*t**3 + 8581517*r**2 + 48*t**2 wrt t?\nAnswer: 83214*r**2*t**2 + 96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1023.519 * 1.4\nAnswer: 1432.9266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (222\/(-148))\/((-6)\/8). Solve a*h + 4 = -2*h + 4*p, p = -h + 9 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - z + 29 = 0, z = -5*n - 3*z - 9. Let h(i) = 3*i - 8*i - 5 + 25*i - 5*i - 7*i. Let j(r) = 33*r - 21. Determine n*j(b) + 21*h(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.602 - -0.902. Put 13, 1, 1\/3, o in descending order.\nAnswer: 13, 1, 1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2998, -4043, -5784, -8221, -11354, -15183?\n\"Answer: -348*w**2 - w - 2649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643416 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1203627969?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 641792334?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45474696.\nAnswer: 2, 3, 70177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -7. Let i = u + -5.7. Let a = -4\/29 - 13\/116. Sort 1\/4, a, i in increasing order.\nAnswer: a, 1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - 5d121?\nAnswer: -5d11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - m + 2*m**3)*(-2734115*m**2 + m + 2734116*m**2 - 2*m + 511).\nAnswer: 2*m**5 - 2*m**4 + 1022*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h + 5*h + 5*h + 3*h in the form x*h + c and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 + -1 + (-1380 - -1327)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 81198*j**3 + 0*j**2 + 0*j**2 - 10 - 81044*j**3.\nAnswer: 154*j**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - -3.01. Let m = l + -3. Let c = -0.00128 - m. Round c to four dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 439, 383, 281, 127, -85, -361, -707?\nAnswer: -1129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 2*k**4 + k**2 + (-2 + 6*k**2 - 16*k - 9*k + 26*k)*(-3 - 4*k**2 + 8 + 6*k**2) to x*k**3 + c*k + b*k**4 + l*k**2 + i and give l.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0*2\/(-10))\/1. Let j be (4 - -4)*(4\/16 + l). Solve 5*p + 26 = -j*z, 4 + 3 = -5*z + 2*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -299 or -298?\nAnswer: -299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m**3 - 2*m**2 - m - 4. Let g be l(4). Suppose n = -3*n + g. Calculate the greatest common factor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of -59*y + 0*y**2 + 5\/3*y**3 + 1\/3*y**4 + 1. Let u(x) = -2*x**2. What is u(h(c))?\nAnswer: -32*c**4 - 160*c**3 - 200*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h**2 + 8*h**2 - h - 82*h**2 - 7*h**2 + h.\nAnswer: -47*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 3:39 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7273094?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - i**3 + i**3 + (4*i - 2*i - i)*(169*i**4 - 61*i**4 + 54*i**4).\nAnswer: 161*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1012010010 (base 3) to base 12\nAnswer: 11670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41bc (base 13) to base 10\nAnswer: 9112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 1)*(2 - 1 + 1)*(s + 3*s - 3*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9526*n**3 + 3*n + 2*n + 4*n - 9612*n**3.\nAnswer: -86*n**3 + 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000114111573 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/9, 0.2, 7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(13) + sqrt(1872)*3 + sqrt(208) + -5)**2.\nAnswer: -328*sqrt(13) + 21869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209498?\nAnswer: 2, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19446340, -19446349, -19446358, -19446367?\nAnswer: -19446376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -642*n**3 - 2*n**2 + 1. Suppose 5*o + 2*z = -13, -o - 1 - 12 = 3*z. Let g be j(o). Is 5\/5 + (g - 1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/(-2) - (-3)\/(-3). Let w = 70 + -67. Calculate the highest common divisor of m and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (171\/76*-4)\/7*2.\nAnswer: -18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddkugqdk. What is prob of picking 1 d and 1 q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3*y - 5 = 0, 5*p + 31 = p + 5*y. Let z(w) = w**3 + 6*w - 4*w - 2 - 4*w + 4*w**2 + 5. Calculate z(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 423*i + 4613. What is g(-23)?\nAnswer: -5116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - b = -6022 + 5998, 65 = 11*c + 3*b for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 16 = 4*r + 75, -2*r - 56 = -4*j. Let o be r\/40 + ((-39)\/(-52) - 0). Let l = -286\/9 + 32. What is the biggest value in 5, l, o, -2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/4*(-7 - (1 + -4)). Let x be -1 + (0 - 0) - -3. What is the first derivative of 4 - 8 + x*s**2 - a*s**4 - 2*s**2 wrt s?\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -4. Suppose 3*g + 3*a - 12 = -0*a, -g = -4*a - 14. Calculate the smallest common multiple of n and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8026744 divided by -212?\nAnswer: -37862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 6*g - 3*g + 726, -4*g = -i + 188. Suppose -2*j = h - 63, 0*j - 5*j = -2*h - i. What are the prime factors of j?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.201*21.768\nAnswer: 47.911368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6.94987167 and 5?\nAnswer: 11.94987167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*m**3*s**2 + 6128868*m**3 + 130316*m**2*s**2 + 33 wrt s.\nAnswer: 134*m**3*s + 260632*m**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h. Let o(a) = -a**2 + 4*a + 1. Let w be o(3). Let p(v) = v - w*v - v + v. Give p(z(t)).\nAnswer: -9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20010011 (base 3) to base 8\nAnswer: -10553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 7*k**2 + 6*k + 15. Let s be l(-10). Let h = -359 + s. What is the remainder when 50 is divided by h\/(-6) - (-1)\/(-3)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 4*s**2 + 4*s + 18. Let o be q(-4). Let u(w) = 11*w**2 - w**2 - 9*w + 2 + w**o. Let a(b) = 4*b**2 - 3*b + 1. Determine -8*a(m) + 3*u(m).\nAnswer: m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q - q**2 - 2 + 0*q + 0*q. Let b be x(-3). Let d(v) = -7*v + 47. Let s be d(6). Sort 0, b, s in ascending order.\nAnswer: 0, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1175 - -1335. Calculate the smallest common multiple of 44 and d.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j. Let o(l) be the second derivative of -l**5\/60 + 29*l**3\/6 + 23*l**2\/2 + 16*l. Let p(x) be the first derivative of o(x). Determine v(p(h)).\nAnswer: 2*h**2 - 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2180048 is divided by 369.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2705 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 25742.\nAnswer: -2\/12871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 2*z + 2153 = 2139, -z + 5 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 3. Let i be -2 - (-29 + -1 + 3). Suppose 4*u - i = -9. Let d be m(u). Solve -5*p = -10*p + d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 423093.\nAnswer: 3, 11, 12821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720 + 3*w**3 + 6*w**3 + 689 - 1407.\nAnswer: 9*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4769 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 303202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1514 - 1007. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 274585946 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -979352 + 18607872\/19. Suppose 14\/19*o**3 - 40\/19 - 158\/19*o**2 + f*o = 0. What is o?\nAnswer: 2\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 6 = -21. Let i(j) = -12*j**2 - 13*j**3 + 12 + 3*j**2 + 5*j - 5. Let g(p) = 6*p**3 + 4*p**2 - 2*p - 3. Calculate h*g(m) + 4*i(m).\nAnswer: 2*m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 38*v - 2923. Let n be 72\/(-10)*(2 - -3). What is the smallest common multiple of 1\/(-3)*n\/2 and m(77)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29851 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256.9899 months to centuries.\nAnswer: 0.21415825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 7*u + 8. Let b be t(6). Let a be b\/15*20\/3. Factor -a - 2\/9*v**2 - 8\/9*v.\nAnswer: -2*(v + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1637 and 43.\nAnswer: 70391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:33 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 241575?\nAnswer: 3, 5, 3221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 9) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a year in months?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**2*n**2 - 399546*f**2*n + 98687174*f*n**2 - f*n - n**2 - 722 wrt n.\nAnswer: -4*f**2 + 197374348*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055248 rounded to 3 decimal places?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - k**2 + 4*k**2 + 4*k**3 - 7*k**4 - 9*k**2 + k**4 + 4*k**3 in the form i*k**3 + q*k**4 + m*k + j + r*k**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 0.02, -0.14, -1\/6, 3\/67, -4, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -161\/180*t**5 - 281\/108*t**4 + 25\/42*t**7 - 2*t - 2\/9*t**2 - 32\/27*t**3 + 19\/18*t**6 + 7. Determine r so that b(r) = 0.\nAnswer: -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68.047 + 0.047. Let r = f + 67.99999813. What is r rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-8)\/18)\/((1800\/(-135))\/(-4)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2238.88 - -2289. Let r = s - 50. Which is the second smallest value? (a) 0.3 (b) -5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 1 - 0. Let z(d) = 126*d**3 - 3*d**2 + d + 1. What is the units digit of z(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/2 - (2 - 3). Suppose -16 = 4*q, 0 = -2*o + 7*o + 4*q + 1. Suppose -o*x = -3, -4*x = 8*r - 4*r - 60. Solve 5*p + 5 = 2*a + r, -l*p - 5*a = -27 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 425669.4 to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 802050 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 210\/1741169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 11:50 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - 8 - -26 - (-7 - -4) - 11?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 6*i + 31. Let g be t(-6). Let x = -40 - -70. Let b be ((-8)\/x)\/(6\/g). Which is smaller: b or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11834.33 plus -5756?\nAnswer: 6078.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 7941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.878 - 0.122. Let i = -17.43 - -17.33. What is the nearest to i in 7, -4, d, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 + -42. Let f be (-196)\/(-42)*9*w. Suppose 5*u + f = 137. Which is smaller: u or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127 and 10414889.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 4*d - 6. Let n be b(-6). Let q = n + 22. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y - 212*y = -43*y - 2*z + 5*z - 1188, 3*z - 6*z = -z - 12 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 252, 845, 1994, 3885, 6704, 10637, 15870?\nAnswer: 22589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.2 - 3.8. Let c = -7440 - -7445. What is the third biggest value in c, -39, u?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -6\/7 (c) 53\/3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*y + 15, r - 6*r = 4*y - 33. Suppose 0 = -3*w - 5*s + 9, s = -w + 5*w - 12. Solve 0 = w*t - r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + 4*sqrt(132)*-1 + sqrt(132))\/((sqrt(4) - (sqrt(4) - -2*sqrt(4)))*-3))\/(sqrt(66)\/(sqrt(42)\/sqrt(7)) + (sqrt(1584) - 3*sqrt(1584)))*-3.\nAnswer: -sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -22676200 (base 8) to base 2\nAnswer: -10010110111110010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from ggmzppmmggzppgzgp.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -24, -2, -100, 19, -4 in descending order.\nAnswer: 19, 3, -2, -3, -4, -24, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83725, 334679, 752525, 1336927, 2087549, 3004055, 4086109, 5333375?\nAnswer: 6745517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 7*h**2 + 4. Let j be f(2). Suppose 3*q = 4*p + j, 4*p + 8 = -3*q - 0*p. Solve -u - 15 = q*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q + 12, -4*c = 5*q + 11519. Which is greater: c or -2877?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 403*u - 409*u + 827*u)*(-3 - 7*u - 2 + 3).\nAnswer: -105*u**2 - 37*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*w + 0*w + 11*w**2 + 7*w**4 - 2*w + 5*w + 0*w to the form q*w**3 + c + k*w**2 + g*w + f*w**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/(y\/((y*y*y**(-26))\/y)))\/y**(-1\/4)*(y**23\/y)\/((y\/(y**(-4)*y))\/y) assuming y is positive.\nAnswer: y**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 AM and 5:09 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/4)\/(5\/10). Suppose f + 176 = 2*f. Suppose -v*h = w - 70, -f = -4*w + 2*w + 3*h. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -36 - (-2 + -12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 178 + -176. What is the derivative of 7*j**z - 9*j**2 - 6 - 4 + 6*j**2 + 10*j**4 wrt j?\nAnswer: 40*j**3 + 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 4:31 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of o**4\/4 + o**3 - 7*o**2\/2 - 8*o + 8. Let g be l(-4). Solve 16 + g = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lbbbbwsjl. What is prob of sequence wbb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express b**2 - 65*b - 64*b + 2 + 133*b in the form o + n*b + q*b**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-5100)*12*-2.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 4:29 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.2 - 9.2. Let p = 3 - q. Let n = 8 - p. Which is the nearest to -1? (a) -0.1 (b) n (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 11:11 PM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x**2 - 2*x - 2. Let g be f(3). Suppose -3*j + 5 = 5*k - g, k = 4*j - 9. Sort -5, k, 5 in increasing order.\nAnswer: -5, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*t - 17. Let b = t + 3. Calculate the least common multiple of 1\/b - 39\/(-12) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52718\/5 + 10636. Which is smaller: 91 or s?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 1 h when three letters picked without replacement from {t: 5, g: 3, v: 6, h: 1, r: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 47*v - 1107. Give n(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-155)\/(-9) + 6\/(-27). Let m = 27 - b. Solve -2*r = -4*z - m, -2*z = r - 0*r - 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.014632 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 8 = 2*c. Let v = 18 + -6. Calculate the least common multiple of v and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -41.14. Let c = 0.859946 + o. Round c to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 22, 38, 70, 124, 206?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*j - 10*j - 326*j + 14664 = 46*j for j.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000014577 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 732559 to the power of 1\/2, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 44*y + 353. Give l(-51).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 131, -0.07, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**3 + 2*y**2 - y. Calculate h(2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -104*a**5 - 3*a**3 - 36*a - 1.\nAnswer: -2080*a**3 - 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53302952499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 8776718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 o when four letters picked without replacement from {t: 2, o: 4, z: 1, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 271486641 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -0.108 (c) 6 (d) 0.1 (e) -5.43\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 408847381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 19*x + 51*x - x - 98*x - 3*x**2. Let v(n) = 16*n. What is h(v(w))?\nAnswer: -768*w**2 - 464*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5715*l**3 + 1422*l**3 + 2749*l**3.\nAnswer: -1544*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfl when three letters picked without replacement from {w: 7, y: 1, l: 4, f: 4, c: 2, p: 1}.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes before 2:31 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -155195 and -0.1.\nAnswer: 15519.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00131532 rounded to 5 decimal places?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.7459 litres to millilitres.\nAnswer: 71745.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - 10011?\nAnswer: -10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -26*p**3 + p**2 + 3*p - 3. Let v be d(2). Let a = -127 - v. Let j = 105 - a. Which is smaller: 32 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 1 + 1)*(-1 + 1 + 3) + (-2 + 1 + 0)*(2 - 1 - 2)*(-b + 0*b + 3*b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-12)*h**(4\/3)*h*((h*h*h**(2\/11)\/h)\/h)\/(h*h*h**(3\/5)*h) assuming h is positive.\nAnswer: h**(-1994\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 54016.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73724 is divided by 2442.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*0.7.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**4 + a**3 - 8*a**2 + 2 wrt a.\nAnswer: 216*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4.938+-4\nAnswer: -8.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 4 + 2 + 1161*p + 1372*p.\nAnswer: 2533*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -93, -3, 3618.\nAnswer: -93, -3, 3618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -5863, -5926, -5989, -6052?\n\"Answer: -63*g - 5800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1066 is divided by 251.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 1101 divide 2916755988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -184224 (base 10) to base 8.\nAnswer: -547640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*w**3 - w**2 - 209*w**3 + w**2.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26 - -20. Let m(s) = 3*s**3 - 6*s**2 - 6*s + 6. Let l(g) = -g**2 - g + 1. Give w*l(z) + m(z).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5859274686 minus 0.01?\nAnswer: -5859274686.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -141*w + 1141. Let h be o(8). Solve 0 = -2*d + 19 - h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9)\/(h\/(h\/h**(-2\/7))))\/(h\/h**(-5\/6)*h*h**11))**(5\/12) assuming h is positive.\nAnswer: h**(-4735\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59172049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4604138 divided by -657734\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12? (a) -3 (b) 0.04 (c) -10\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.02 - -0.02. Suppose -j - 2*j - 4*f + 289 = 0, f = -5*j + 459. Let a = 86 - j. What is the third biggest value in v, a, -2\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c**3 - 2567*c**2 - 57*c**3 - 1362*c**2.\nAnswer: -9*c**3 - 3929*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0 + 3. List the prime factors of 8\/12 - 37\/d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13265*b + 13266*b = 17*a - 208, -3*b = 5*a - 48 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, 0.16, -1.37, 5 in decreasing order.\nAnswer: 5, 0.16, -1.37, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*18\/(-36))\/(-21)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.27? (a) 354\/11 (b) 3\/2 (c) 2 (d) 199\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21600939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1932 divided by -6.\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 - 4*o + 3. Let t = 10 - 7. Let s be q(t). Suppose -4*b + s*b = 30. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -3*l - 18*w - 18, 3*w = 2*l - 7. Let t be l*1*(-57 - -57). Solve 32 = 4*f + 4*q, 0 = 2*f - t*f + 4*q - 26 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - 4*k - 5. Let b be l(-1). Solve -1 = b*q - y - 5, -4*q = -3*y - 8 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 61 = -10*f + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-732)\/(-183)*3*6\/(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - 2) + (6 - (-7 - -16)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3423 + 1006 + 88 - 1924)*(0 + 0 + h**3) to the form x*h**3 + m*h + t*h**2 + o and give x.\nAnswer: -4253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 81 - 51 = 0. What is the highest common factor of 44 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 15, -2*p + 0*g + 23 = -3*g. Suppose 4 = -p*o + 40. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 2*x - 20 = -56*o, 5*x + 55 = -5*o. Let q = 0.83 + -0.63. Let s be 4\/(-14)*14\/18. Put q, o, s in descending order.\nAnswer: q, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 78311.87nm in kilometers?\nAnswer: 0.00000007831187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1976 - -2019. Let c(h) = 2*h + 2. Let r be c(2). What are the prime factors of (-1)\/((-2)\/r) + p?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 2, h: 2, v: 10, t: 5}. Give prob of picking 1 h and 2 w.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -242 + 164. Let t = -115 - c. Let z = 36.999857 + t. What is z rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -n**6\/2 + n**3 - 1. Find the third derivative of i(o) wrt o.\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1, -0.5, -29, 8.7044 in increasing order.\nAnswer: -29, -0.5, 0.5, 1, 8.7044","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/4 + (-1 - -4). Suppose -4*p = -2*g - 2*p + 2, f*p + 3 = 3*g. What is the units digit of (-12)\/(-3) + g + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17*105\/(-2975))\/((-2)\/20)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -444.7 from -516.93.\nAnswer: -72.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/5 + 714*l + 7148\/5 = 0.\nAnswer: -2, 1787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 12*m. Let j(h) be the second derivative of h**4\/4 - 2*h - 6. What is t(j(a))?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (32\/(-1590))\/(1\/(-9)). Let b = v - -25901\/4770. Find the common denominator of 73\/6 and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/66*3\/12*4. Is v greater than or equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssssshhssssshhhh. What is prob of picking 4 h?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 405*z**4 + 13*z**4 + 362*z**4 + 37*z**2 - 2*z**3 - 34*z**2 + 546*z**4 - 17 wrt z?\nAnswer: 31824*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 411574 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21, 22, 23, 24?\n\"Answer: o + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - (-9)\/3)*2. Let m(i) = -i**3 - 3*i**2 + 5*i + 5. Calculate the lowest common multiple of (-10)\/v*112\/(-35) and m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 0*g - 1\/2*g**4 + 0*g**3 + 1\/2*g**2 + 144 + 0*g**5 + 1\/6*g**6. Factor w(b).\nAnswer: b*(b - 1)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b + 558 = 106*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38.885 + 0.085. Let b = -38.9 - z. What is the nearest to 0.2 in b, -3, -2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**7\/8820 - q**6\/315 - q**5\/28 - 161*q**4\/24 + 209*q**2. Let l(t) be the second derivative of m(t). Factor l(k).\nAnswer: -2*(k + 3)*(k + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000052882 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 3)*(4 + 1 - 1)*(3*y**4 + 4*y**3 - 4*y**3).\nAnswer: 48*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/525*84\/(-8)*8\/24.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 165747077857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*j + 55 = -17*j. Solve -j*t = 11 + 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1442?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 2*x. Let k = 10 - 9. Let z be a(k). Let g = 3 + -3. Is g not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*g + g + 16, -2*g - 5*d = -38. List the prime factors of 482\/g - (-24)\/42.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -148196 + 202287551\/1365. Find the common denominator of 53\/195 and q.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 102747*w + 342632160.\nAnswer: 3*(w - 30505)*(w - 3744)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + 1 - 1)*(4 - 5 + 2)*(-3 - 1 + 2).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 591 - 592. Let r = -2 + 2.2. Let p = r - 1.2. What is the nearest to p in 4, o, -1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-4)\/24) + -2. Let a = -5 - c. Suppose 4*q + 5*u - 211 = 0, -q + u = a*u - 49. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 454540456 and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 4)*-4 - -3. Suppose 0 = 5*k - 5, -2*b - 5*k = -5*b + 85. Suppose 16*o - b = r*o. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363721755?\nAnswer: 3, 5, 1151, 21067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 329678*x**3 + 6501*x**2 + 2.\nAnswer: 1978068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 = g, -x - 2*x + 4*g + 28 = 0. Let p be (1 - -11)*7\/(-49). Let k = -43\/21 - p. Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 - r - 6. Calculate l(3).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*n + 2*n. Let j be n\/(-5) + 30\/50. Solve j = l - 0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-1994)\/1)\/(-3 + 152\/56).\nAnswer: 7, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than or equal to 104\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1634\nAnswer: -5\/1634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -14*o + 2715. List the prime factors of h(151).\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7296 and 197448?\nAnswer: 3159168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 5*y**2 + 5*y + 5. Let q(w) be the third derivative of 0 + 0*w - 19*w**2 - 11\/24*w**4 - 11\/60*w**5 - 11\/6*w**3. Calculate -4*q(j) - 9*x(j).\nAnswer: -j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -450 - -1070. Let x be (-2 - -6)\/(4\/b). Suppose 3*r - x = -155. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55 * 4\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*((-216)\/42)\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 945350 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (224\/36)\/(-8)*3 - (-2 + 1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*-3*sqrt(99)*-2)**2.\nAnswer: 57019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 f when four letters picked without replacement from dbnbbbffz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 62963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -64*o**3 + o**2 - 6*o. Let r be y(-2). What is the greatest common divisor of 816 and r?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*r + 2*a - 17 = 324*r, 0 = 4*r - 3*a + 15 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0.3, 1, 200, 5\/4, 0.82?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g + 29. Let d(x) = 10 + 1 - 5*x + 9 - 5. Let y(q) = -11*d(q) + 6*n(q). Let b be y(-5). What is the smallest value in -2\/9, b, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 - 7. Suppose -2*o = -k*o + 3. Suppose 47*n - 129 - 12 = 0. Solve o*b - 4*t = 19, -5*t - n - 22 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/146686 and -53\/11363.\nAnswer: 1613546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19, -30, -41, -46, -39?\n\"Answer: w**3 - 6*w**2 - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, -2\/9, 9, -3.\nAnswer: -31, -3, -2\/9, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045456791 > 1045456791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -2\/105*d**5 + 1\/21*d**3 + 1\/28*d**4 + 0 + 9*d**2 + 0*d. Factor a(r).\nAnswer: -2*(r - 1)*(4*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + 6*n**2 - 5. Let h be i(-2). Solve -h*l - l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -14*v**3\/3 + v**2\/2 + v - 10. Calculate a(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 59235*p**2 - 58945*p**2 + 117828*p**2 + 4.\nAnswer: -352*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2\/(-11) - (-2679)\/33 - 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3*g = 5, -3*j + 4*g = 2*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 283 + -156. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 92*q + 7. Let i be u(1). Let x = i + -100. Which is the fourth smallest value? (a) 6\/7 (b) x (c) -12 (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23.97 + -43.\nAnswer: -19.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*n + 368*n - 1168*n + 375*n.\nAnswer: -75*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*t - 68*t + 21. Solve 3*d + 18 = -t*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**6\/360 - o**5\/60 - o**4\/8 + 17*o**3\/3 + 15*o. Let t(q) be the second derivative of j(q). Calculate t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 35\/3. Let h = -477.12 - -477. What is the closest to -1 in l, h, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 8, -5, 1.\nAnswer: -8, -5, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 61 = -13*o + 7*o, 568*j - 571*j = 4*o + 155 for j.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 a factor of 24886048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -9 - -23 - (11 + 9 + -14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25766 + 77441 - 23289 = -3895*g - 17457 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 36*n - 5. Let r(c) = 21*c - 3. Let o(m) = 3*b(m) - 5*r(m). Let a(w) = -4*w**2 + 13*w. Give o(a(h)).\nAnswer: -12*h**2 + 39*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + ((sqrt(19) - (sqrt(19) + sqrt(931))) + sqrt(19))**2 + (sqrt(171)\/(sqrt(144) + sqrt(9)) - 2*(sqrt(19)*-1 - sqrt(19))).\nAnswer: 21*sqrt(19)\/5 + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b**2*p**2 - 342853*b**2*p - 19*b**2 + 435*p**2 + 6416177 wrt p.\nAnswer: 2*b**2*p - 342853*b**2 + 870*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.87.\nAnswer: -0.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p - 24. Let w(q) = 8*q - 4. Let n be w(10). Suppose -14*v + 10*v + n = 0. Does 5 divide i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/11, 13\/10, -0.07 in ascending order.\nAnswer: -0.07, 3\/11, 13\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n**2 + 134 - 134.\nAnswer: -44*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638758917.\nAnswer: 3, 70973213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -612490354*r**2 + 1471689858 wrt r.\nAnswer: -1224980708*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 6. Let l(u) = u**3 - 2*u + 1. Let s(f) = -4 + 11*f + 2*f**2 - f**2 - 4*f - 4*f**3. Calculate k*l(m) + 2*s(m).\nAnswer: -m**3 + 2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/86657 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 21*k**5\/2 - 28485*k**4\/2 + 77061*k**3 - 72873*k**2 - 218943*k\/2 + 109431\/2 = 0.\nAnswer: -1, 3\/7, 3, 1351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2667, 3, 6 in descending order.\nAnswer: 6, 3, -5, -2667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.08, -2\/17, 1\/7?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) -4 (b) 5 (c) -0.3 (d) 15623 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*f - 46 = -341, 2*k - 111 = -3*f. Factor -22*l**2 + 15*l**5 - 14*l**2 + 6*l + k*l**3 - 51*l**4 + 3*l**2.\nAnswer: 3*l*(l - 1)**3*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/12)\/((-3)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 2*o + 4*o + 32 = 16, 0 = -2*o - 4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 151 and 2.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**2 + 3*z - 16. Let f(p) = 5*p**2 - 5*p + 31. Let o(b) = -3*f(b) - 7*w(b). Let m be o(-8). Solve -5*v + 4*t - 2 = m*t, -4*v + 2*t = -2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4098 + -0.562\nAnswer: 4097.438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67631 + 112*h**2 - 121*h**2 + 135259 - 67628.\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 196.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnnttntrnttntnrttt. Give prob of sequence trr.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v - 3*v + 7 + 1 - 4*v + 2*v to c + w*v and give w.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zlzzlzzzlzll. What is prob of sequence ll?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 239, 482, 725, 968, 1211?\n\"Answer: 243*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -90101415*f**2 - 889021216?\nAnswer: -180202830*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -22*l + 1031. Let u(t) = 40*t - 2063. Calculate 6*u(a) + 11*z(a).\nAnswer: -2*a - 1037","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 + (-91 - (-100 - 126))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(-14) + (-1)\/(-2). Let p be (-1)\/((27\/(-24))\/9). Suppose k + 1 = -z, -3*z + p*z + 9 = -4*k. Which is the nearest to 0? (a) -0.2 (b) z (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {y: 3, k: 4, q: 13}?\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*r**4 - 631*r + 151*r**4 + 115*r**4 - 600*r wrt r?\nAnswer: 3396*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 78, 119, 156, 177, 170?\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 11. What is the units digit of (-1)\/3*-3*i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272996 is divided by 1050?\nAnswer: 1046","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 233 - 501. Let v = -273 - l. Which is the smallest value? (a) -9 (b) v (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k - 20*k - 78 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from mtdettpekme?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d. Let l be z(0). Suppose l*q + 88 = 4*q. Let c = -13 + 21. What is the remainder when q is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.00326 and -3.\nAnswer: -3.00326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, 1\/5183556, -2\/5 in increasing order.\nAnswer: -2\/5, 1\/5183556, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(sqrt(72) + 0))**2 + sqrt(72)*2 + -1 - ((sqrt(200) - (sqrt(18) + 2)) + 5)**2.\nAnswer: -30*sqrt(2) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(3\/1))\/((-54)\/((-5832)\/60))*-70.\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -895 + 893. Sort 5, -71, u in increasing order.\nAnswer: -71, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 148 + 193 = 0 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 9 = -4*l + 3, 2*l - 6 = 2*q. Let m(p) be the first derivative of -2\/3*p**3 + 1\/2*p**4 + 1 + 0*p**2 + q*p. Suppose m(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 94 - 73. Suppose 5 = 5*p, p - 100 - a = -5*m. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r**2. Let d be (24\/40 - 59\/(-10))*4. Let j(q) = 0*q**2 - 18*q**2 - 4*q**2 - 7*q**2 - d*q**2. Give b(j(l)).\nAnswer: -9075*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -575\/4 (b) -27\/8 (c) 114 (d) 1.1 (e) 0.5 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 67\/6, -3\/5, 5\/3, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*v - 10 - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of 3*j**4\/8 + 79*j**3\/6 + 115*j**2. What is the first derivative of r(k) wrt k?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/35763 and -29\/1572.\nAnswer: 143052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*i + 4. Let r(a) = -2 - 3 + i*a**2 - 3*a**2 + 13*a. Is r(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 634 divide 266735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 131535183 a multiple of 436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20144033 (base 5) in base 16?\nAnswer: 27a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpprprpppprppppr. Give prob of picking 2 r.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -45*x - 415. Calculate the remainder when 2873 is divided by o(-12).\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 115*c - 360. Determine a(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 630 - -bc0?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*m + 13 = 0. Let f be 26\/10 - 6\/(-15). Suppose 3*v + 62 + 370 = f*n, n - 140 = -3*v. Calculate the highest common factor of n and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 222256*z. Let q(t) = -64*t**2. What is q(n(u))?\nAnswer: -3161454690304*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4 - 1 + 0 - t**2 - 3*t - 4*t. Calculate a(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-10)\/4)\/5. Suppose 25 + b = 5*g. Let v = 2 + -3. Put g, v, 2 in decreasing order.\nAnswer: g, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3 + 4*g**2 - 31*g - 70 = 0.\nAnswer: -7, -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 419832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15*a + 8. Let v(o) = 8*o + 5. Calculate 3*p(z) - 5*v(z).\nAnswer: 5*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246 divided by -123.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 33, 104, 293, 660, 1265?\n\"Answer: 10*j**3 - j**2 + 4*j + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 + 4*n. Let x(h) = h**3 - h. Let p(l) = -d(l) - 3*x(l). Let b be p(-1). Is 13 a factor of 26 - 2 - -1 - b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-792)\/(-16)))\/(-2).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 + 6*c - 6. Let t(a) = a**2 - a + 1. Let n(j) = q(j) + 6*t(j). Let u(h) be the first derivative of -h**2 + 4. What is u(n(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14697929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 16. Suppose p*l - 13 = 7. Suppose -z + 5*v + 29 = 0, 2*z + 2*z - l*v - 191 = 0. What is z rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -140, -277, -414, -551?\n\"Answer: -137*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2203 - -3961. Is z a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.4 + 1. Let t = -1.1 - -0.9. Which is the closest to 0? (a) 2\/7 (b) t (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202487?\nAnswer: 17, 43, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3470\/27 less than 128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(13) + -1) + -1)*2.\nAnswer: -12 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -128.36, 0.1, 2, -0.4, 0.3.\nAnswer: -128.36, -0.4, 0.1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8647 is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as -4\/267?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 4*j**2 - 240*j + 1296 = 0.\nAnswer: 6, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -18029*b**6 + 2*b**2 + b + 167 wrt b?\nAnswer: -2163480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 207 = -3*w, -2*b - 1 = 5. Solve w - 9 = -11*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 6. What is the nearest to 0 in v, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*m**5 + 74*m**4 - 11*m**2 + 267180*m.\nAnswer: -1200*m**3 + 888*m**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000668812 rounded to 7 decimal places?\nAnswer: -0.0000669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -t + 3*t - 9392, 2*c - 6261 = -t. Suppose 3*b + 0*b + 9 = 0, -5*b + c = 5*h. Let d = 1186 - h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.8 or -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - ((28 - 10) + -11 - 7)) + -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 17 = -48*v + 131. Sort 1, -25, 3, -3, v.\nAnswer: -25, -3, 1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1092 - -9685. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84128, 169551, 254976, 340403?\nAnswer: 425832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -97443, -194874, -292305, -389736, -487167?\n\"Answer: -97431*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(2 - 0\/(-1)). Let r = g + 4. Solve -4*z = -5*l - 10, -2*l - 4*z = -r*z + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 825292 divided by 118.\nAnswer: 6994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1\/a)\/a)\/a)**(3\/17)*(a*a\/(a*a*a**(-4)))\/a*a*a**(-1\/12) assuming a is positive.\nAnswer: a**(727\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -69\/41 at most -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*v - 4530 = -246. Calculate the greatest common factor of 697 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112300 (base 4) to base 9.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from sussujcsscsuj.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*a + 5*q = 9, 3*a + 4*q = 12. Find the common denominator of -49\/19 and -1*(-7)\/4*(a - 18).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 29*h - 33. What are the prime factors of g(9)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.5. Let y = 0.3163 + -9.3163. What is the third biggest value in u, 5, 4\/5, y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 33 = j - 5*i, -5*j - i + 217 = 0. What is the second derivative of 33*m - 6*m**2 - j*m + 18*m**2 wrt m?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 9, -0.78, 1, 2\/3, -11?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 3:46 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 + 83. Is -24 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1441 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**3 + 8*q**2 - 16*q - 15. Let l(t) = 2*t**3 + 3*t**2 - 6*t - 5. Let w(m) = -3*h(m) + 8*l(m). Let u(y) = -y**3 - 3. Determine 5*u(o) + 3*w(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 1. Let p(x) = -8*x**2 + x - 22. Let g(d) = -5*k(d) - p(d). What is the units digit of g(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7123176 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/5 + 2440\/50. Suppose -d = -2*z - 2. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {v: 1, h: 3, u: 1, d: 6, y: 1, p: 5}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + c - 14. Let k be p(6). Solve -4*l - 3*s - 5 = -9*l, 4*l + 4*s = -k for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9472541339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -5962 + 11936 + 23*x**4 + 4*x**3 - x + x**2 - 5972 as m + a*x + j*x**3 + u*x**2 + g*x**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -21*b + 3. Let k be t(0). Let q = -1 + 2. What is the closest to 1 in q, -9, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -50, 0, -2, 1\/8, -1\/79?\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 37*b + 26 + 31\/5*b**5 + 0*b**2 + 0*b**3 + 0*b**4. Find the first derivative of z(q) wrt q.\nAnswer: 124*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 3*w - 8. Let a be z(-6). Suppose -109 = 8*m - 133. Factor -2*o**m + 6*o + 33 - 10 - a - 9.\nAnswer: -2*(o - 2)*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 19*d**2 + 15*d - 11. Let q(l) = -9*l**2 - 7*l + 5. What is -6*a(n) - 13*q(n)?\nAnswer: 3*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -841, -1, -3, -5 in descending order.\nAnswer: 14, -1, -3, -5, -841","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -761*i**2 + 17*i**5 + 152*i**2 + 353*i**5 + 578*i**5 wrt i?\nAnswer: 56880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39103 or -2.8?\nAnswer: -39103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*t + 32*t + 168*t + 190*t.\nAnswer: 371*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13499203 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 224 or 0?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*t + 17*t = -8*i - 28, 0 = 3*i - 4*t + 2 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -2*q - 120409, -p + 3*q + 22599 + 17549 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - (-5)\/10)*-12. Calculate the highest common factor of h and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2197984 to the nearest integer?\nAnswer: 1483","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 20 - 0. Calculate the smallest common multiple of 3 + 4 + -2 + 1 and (k - 4)*12*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/1052 and 20\/11?\nAnswer: 11572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + 2 - (-7 + 9 - 5).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdccdccccdnnd. Give prob of sequence cdcn.\nAnswer: 14\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 10:08 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (-1 - -83) + 0. Suppose 4*o - 23 = i. Is 11 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(2\/3))\/n)**26*n*n**(-1\/8)*n**7 assuming n is positive.\nAnswer: n**(-227\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**5\/30 + n**4\/6 + n**3\/2 - 3*n**2. Let l(z) be the first derivative of q(z). Differentiate l(t) wrt t.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289280 is divided by 19284?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -203003202 (base 5) in base 15?\nAnswer: -11576c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 + 15*n**3 - 32)*(4 - 4 + n) - n**4 - 3*n**4 + 3*n**4.\nAnswer: 14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 185*z**2 - 2*z + 2. Calculate the remainder when a(1) is divided by 94.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25\/6, 0.1, 20, 12.9 in descending order.\nAnswer: 20, 12.9, 25\/6, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9.199825 micrograms?\nAnswer: 9199.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j - 4*c + 44 = -3*j, 2*j - 5*c - 50 = 0. What are the prime factors of (54\/j)\/(15\/3050)?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10 in 4\/7, 1, 2, -4, -212?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 660?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9798 a multiple of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*j + 68*j + 11121 = 188*j - 22*j for j.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 16115 divided by -483\nAnswer: -16115\/483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2026 - -4427. Let i = 2399.267 - f. Let y = 0.017 - i. Round y to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43 - 28. Suppose -i*t = -11*t + 28. Let o(w) = w**3 + 6*w**2 - 8*w - 4. Let q be o(t). Solve q*b - 14 = 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (2 + (-3 - 1) + 1)) + 4 + 21?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 44. Is 10 a factor of p(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(0 + -1) + 15. Let h(o) = f*o + 21*o + 17*o. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2 - 1547*c - 1 + 154*c + 2. Let v be z(-2). What is the tens digit of v\/75 - (-4)\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*3\/(-6)*0. Suppose -4*k = 2*s - 64, y = 3*s - 2*k - 42 - 30. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 5*m + 0*m + (3*m - m - m)*(5 + 1 - 4) - m - 3 + 3)*(-m**4 - m**4 + 0*m**4).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -285*a**2 + 10*a - 25. Let v be k(11). What is v rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = q - 29, -3*q + 39 = -2*v - 2*v. Let n be (152\/(-10))\/(v\/45). Suppose 2*g + 2*j + j - n = 0, -3*g = -2*j - 158. Is g a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -1681\nAnswer: -840.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 432 + 10?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4307 + 9837. Let d be (-1)\/2 - p\/44. Let k = -126 - d. Which is the closest to -2\/5? (a) 4 (b) k (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of 1\/105*i**7 + 0*i + 47\/10*i**5 + 100\/3*i**3 + 55\/3*i**4 + 11\/30*i**6 + 0 - 32*i**2. Suppose x(d) = 0. Calculate d.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2977 + -1313. Does 26 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9144049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 256790566777 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 759245.07 rounded to the nearest one hundred?\nAnswer: 759200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let g be u(-4). Find the first derivative of o**2 + 0*o - g + 0*o wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.88119294 + 0.20434632. Let f = t - -0.28447204. Let z = 1.37 - f. Round z to six dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**7\/7 + v**4\/6 - 5*v. What is the third derivative of o(l) wrt l?\nAnswer: -360*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:07 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1404 - 1204557?\nAnswer: -1206163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 3*f - 16. Let n(j) be the second derivative of j**4\/4 - 5*j**3\/6 + 12*j**2 + j. Let h(o) = 5*n(o) + 8*r(o). Determine h(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135132501 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2\/7 + 1194728*x\/7 - 356843748496\/7 = 0?\nAnswer: 597364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/(-35)*2*1 + 5. Let n(j) = -j + 7. Let p be n(3). Solve p*a = -m - 12, -a + o = -2*a + m for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0)\/((-6)\/(-39)). Let y(q) = 6 + 3*q + 0*q**2 + q**2 + 10*q. Is y(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -64749413*t - 59314811?\nAnswer: -64749413","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 31 (b) 2 (c) -0.28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6195 divided by 885?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -17*n**5\/5 + 17*n**4\/4 + 633*n + 640. What is the first derivative of l(q) wrt q?\nAnswer: -68*q**3 + 51*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 291, -5, -7, 4, 1 in decreasing order.\nAnswer: 291, 4, 1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -2*n + 1 - 3, 0 = -2*n - 6*i - 4. Solve -2*d = -n*c + 14, -22 = -2*c + d - 5*d for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7164 + 1433. Is 21 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s + s + 0*s + (-4 - 2 + 7)*(-s + 2 - 2))*(177603 - 177557 - 3*s**2 + 16*s + 2*s**2) as r*s**3 + y + b*s**2 + a*s and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t - 122. Let b(p) = 2*p + 80. Let i(w) = 8*b(w) + 5*d(w). Let y be i(-26). Factor 0 - 2\/3*o**3 - 2\/9*o**5 - 2\/9*o**2 - 2\/3*o**y + 0*o.\nAnswer: -2*o**2*(o + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (15 + -4 - (-14 - (21 + -6))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3\/8)\/(2 - 5). Suppose 0 = 3*g - 4*w + 12, -3*g - 3*w - 5 = -14. Let q = 3262 + -3261.5. What is the third biggest value in g, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 49791 = 4*j - 3888, 6*z - 3*j = -55068. Which is greater: z or -9178?\nAnswer: -9178","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 1, g: 3, l: 4, k: 1}. What is prob of picking 1 o, 1 l, 1 c, and 1 g?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q = 1608 + 1766 + 178. What is the greatest common factor of 592 and q?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*o = -2*q + 1, -2*q = 2*o + 4. Let r(p) = -p + 2. Let x be r(6). Is x > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-57)\/(-18) - (-6)\/(-36). Is 2 a factor of (-32)\/(-4) + -4 + d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 11:34 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2433 (base 9) in base 11?\nAnswer: 13a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/7 + 3968*z\/7 + 1968128\/7.\nAnswer: 2*(z + 992)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7230 is divided by 55.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 4, s: 3, b: 2}. Give prob of picking 1 e and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 74*u - 17. Is o(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229439 is divided by 32730?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.003 + 3.83. Let a = -0.127 + i. Sort -2, a, -4 in decreasing order.\nAnswer: a, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 597586?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 - 93528*m - 72815960.\nAnswer: 2*(m - 47530)*(m + 766)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 49506 rounded to the nearest one thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/876590 and -173\/11045034.\nAnswer: 55225170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**2 + 6*l - 4. Suppose m = 3*a + 2*m + 16, 3*m = 5*a + 8. Let w be ((-270)\/60)\/((-3)\/a). Let z(r) = -6*r**2 - 5*r + 3. Determine w*z(v) - 5*n(v).\nAnswer: v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 919 + -687. What is the greatest common divisor of 40 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 5, 1075, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -45*u**8\/28 - u**7\/21 - u**4\/4 + 58*u**2 + 8*u - 13. What is the third derivative of a(k) wrt k?\nAnswer: -10800*k**3 - 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and 0.1078912.\nAnswer: 0.0978912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Suppose -3*k = -0*k - 4*w + 70, -c*k + 3*w = 124. Round k to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 589135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4297 - -4295. Which is the closest to -2? (a) z (b) -0.1 (c) 2\/19 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 5\/4208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 1911660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 1007*f**3 - 12*f**2 + 14*f - 18. Let i be c(9). Let g = i - 37755. Suppose g = -5*u + 3195484. What is u rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 3 = -5*g - 3, 0 = 3*v - 12. Suppose 9*z - g = 25. Sort -5, z, 0, 0.3 in descending order.\nAnswer: z, 0.3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4 + 316*s**3 - 18576*s**2 + 480740*s - 4611406.\nAnswer: -2*(s - 43)**3*(s - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 4*n + 17 - 6, 5*n = 2*k + 16 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of -y**7\/840 + y**6\/160 - y**5\/80 + y**4\/96 + 7*y**2. Factor i(g).\nAnswer: -g*(g - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*k + 1043 = -75*k. Let h = -85 - k. Does 32 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000189794 to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.8 - 0.8. Let w = k + -2. Let o = -73\/728 + -3\/56. Which is the third biggest value? (a) w (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 3\/4 (c) -243\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28120000 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s. Suppose 4*i - b - 5 = 5*i, 3*i - b = -3. Let x(r) = -3*r**2 + 2*r - 2. Let v(q) = q**2 - q + 1. Let n(c) = i*v(c) - x(c). Calculate n(j(o)).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**5 - h**4 - 1. Let u(k) = -48*k**5 + 5*k**4 + k**2 + 11*k + 5. Let v(r) = -10*f(r) - 2*u(r). What is the third derivative of v(b) wrt b?\nAnswer: 5160*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 34*l - 87. What is u(-31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9553.034184 rounded to the nearest ten?\nAnswer: -9550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d + 2*d - 4*d - 4*d. Let u be a(3). Let q be (-33)\/1*(-2)\/u. Calculate the greatest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 207 from 307919285.\nAnswer: 307919078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207 + 515*k**3 + 399 - 192.\nAnswer: 515*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -1 + 11. Suppose -4*a = 2 - 10. Let z = 0 + 5. Sort a, c, z.\nAnswer: c, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1368 = 20*z - 17*z. Let g = 7939 + z. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3 - 6942*j**2 + 76071*j - 165816 = 0.\nAnswer: 3, 8, 2303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 2703893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 15 = 4*f - 3, -5*t + 9 = f. Suppose 58 = f*v - 2*u, -5*v - 20 + 92 = -3*u. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/8 of a millimeter?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {u: 7, l: 2, k: 6}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27.054 + 27.2. Let v = f - -0.154. Let b = -0.13 + 5.13. Sort v, 0.4, 0.1, b in ascending order.\nAnswer: 0.1, v, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -605*v - 590*v + 1195*v + 18*v**2. Let h(d) = -9*d - 2. Give p(h(w)).\nAnswer: 1458*w**2 + 648*w + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3417, 22575, 74575, 175839, 342789?\nAnswer: 591847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -2, -1261, -1, -2\/3, 23, -4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2 + 10 + 8*a - 4 + 11 wrt a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/15, -0.46, 0.013, 1, -0.3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370 = 134*c - 58 + 1028 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/4 + (-1)\/(-4). Suppose 415587 = f*r - 188845. Suppose -290020 = 5*g + 5*v, -4*g + 5*v - 80872 = r. Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 0.1 (c) 4 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 5\/((-10)\/268). What is n rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 322, 1290, 2912, 5194, 8142, 11762, 16060?\n\"Answer: r**3 + 321*r**2 - 2*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-36))\/(10\/((-6)\/3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 0, -2, -4, -6?\n\"Answer: -2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312 and 541312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2904*27\/12*2\/6. Let q be (24\/(-16))\/((-3)\/g). What is the highest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 15 = 9*i - j, 2*i + j + 3 = 0. Let k(r) = 13*r**2 + 4 - 19*r + 20*r + 2. List the prime factors of k(i).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35 - 40. Let p be ((-9)\/(-10) - (-2)\/j)*6. Find the second derivative of 6*u + 18*u**3 - 18*u**p - 11*u**3 wrt u.\nAnswer: -66*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 76 - 77 - 74 - 120*s**2.\nAnswer: -120*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15838 - 3?\nAnswer: -15842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-2 - -1) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -2\/3, -1\/6, -0.14, -184\/5 in descending order.\nAnswer: -0.14, -1\/6, -2\/3, -27, -184\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35233 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1963087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1483 - -1482.9. Which is the nearest to -11? (a) z (b) -11 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - (-4 + 5)) + 3. Suppose 77 = -11*v + c*v. Suppose 0 = -4*o - 5 + v. What is the highest common divisor of 9 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -327, -0.2, 13\/7, -0.44, 1\/2 in descending order.\nAnswer: 13\/7, 1\/2, -0.2, -0.44, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.255 in 5, -4\/3, 2\/17, 3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 6936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 899.9733 centuries?\nAnswer: 8999.733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 98457 divided by -32819\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-16) + (-31)\/20. Let f = 1 + -1. Which is the biggest value? (a) f (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 5*q**2 + 230010*q - 120957200 = 0.\nAnswer: -46522, 520","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 100\/25 - (1 + -5). Let v be ((-6)\/f)\/(5 - 138\/24). Sort v, 31, 3 in decreasing order.\nAnswer: 31, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14210 divided by -2842?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.14 - 0.09. Let i = v - -2.65. Round i to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*u - 682*u + 128*u + 123*u + 210*u + 121*u.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhh when three letters picked without replacement from {a: 3, h: 3, d: 1, t: 1, o: 2, r: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 349*g**6\/2 + 215*g**2\/2 + 386. Find the second derivative of a(t) wrt t.\nAnswer: 20940*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from hqqxswh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z - z**2 + 8 + 3 - 5*z + 0*z**2. Let y be h(-9). Suppose 0 = -0*s + 3*s - 180. Calculate the greatest common divisor of s and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 558*b**3 + 3477*b**2 - 4032*b.\nAnswer: -3*b*(b - 192)*(b - 1)*(b + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 10. Suppose -2*v + s*g - 20 = -2*g, -4*v + 5 = g. Let x(q) = 4 - 4*q**2 + q**3 + v - 3 - 6*q. Give x(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 422?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22335*x**2 - 321*x - 304*x + 625*x.\nAnswer: -22335*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1732*d - 15690 + 261872 = -10718*d - 490670 for d.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 8.12. Let c(u) = -u**3 - 9*u**2 - 15*u - 4. Let d be c(-2). Which is smaller: d or h?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201*q + 221*q - 16 - 38*q)*(1 + 1 - 1).\nAnswer: -18*q - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19627*i**5*t - i**5 + 6*i**2 - 885*i*t - 2*i + t - 14 wrt i.\nAnswer: 1177620*i**2*t - 60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, l: 7, v: 7}. What is prob of picking 1 v and 1 c?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 789 - 4*j - 800 + 3*j.\nAnswer: -j - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -9.2. Which is the fourth smallest value? (a) -1 (b) -0.5 (c) 2\/13 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100.884 - 101. Let t = 124.116 + a. Let l = 124.51 - t. Round l to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 7. Let s be 2 - 1*(0 - o). Let n(a) = a + 1. Let u be n(s). What is the second smallest value in -5, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.924 + -1.18169. Let r = a + 1.12728. Let h = r - 0.87. Round h to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14848478 to the power of 1\/2, to the nearest integer?\nAnswer: 3853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*f + 72 = -83, -5*v - 145 = 5*f. Let d be 15\/v + (-1)\/10. Sort d, 0.1, -3\/7 in descending order.\nAnswer: 0.1, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/5 of a centimeter in micrometers?\nAnswer: 38000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1145610632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2869428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/3)\/(4\/(-36)). Suppose -14 = -l*y + 10. Suppose 2*m - y = m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + k + 26. Let i = -4 - k. Solve 3*n + i = 3*w, 2*n + 0*n - 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2778*t**2 + 4*t - 4*t + 37*t**3 + 6*t**3.\nAnswer: 43*t**3 + 2778*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 260*c**2 - 3825392*c + 176556 = 0?\nAnswer: 3\/65, 14713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*t**2 + 19*t**2 + 28*t**2 + t - t.\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = -4*h. Suppose 3*l + h*l + 4*v = 95, -3*l - 2*v = -103. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008538 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(-4 + 23 + 0)*(-u**3 - 2*u + 2*u).\nAnswer: -19*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*v**3 - 121*v**3 + 17*v**3.\nAnswer: -136*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 578089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, -0.2, -2, -7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41125?\nAnswer: 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -118a - 6ea0?\nAnswer: -813a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + -4020?\nAnswer: -3400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose x = 2*x - s. Suppose 48 = x*m - 44. Is m a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**2 + 2*b**3 + 115 - 115)*(0*b - 4*b - b).\nAnswer: -10*b**4 - 25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63 or 257\/4?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1))**(1\/6)\/((a\/(a\/((((a**(2\/5)*a)\/a)\/a)\/a)*a))\/a*a*a\/(a\/(a*a**(-3)))*a) assuming a is positive.\nAnswer: a**(103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a*a*a*a**7*a)\/a)\/a)**(-27)*(a\/a**(4\/7))**(-13))**17 assuming a is positive.\nAnswer: a**(-32793\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -65\/3 - -263\/12. Find o such that 1\/2*o**2 - j*o**4 + 0*o + 0*o**3 - 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*t = -4*l + 1784, 0 = 3*t - 6. Calculate the highest common factor of l and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -712 (base 12) in base 15?\nAnswer: -482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1*sqrt(275)*-3 - -6*(sqrt(55) - -2*sqrt(4455))\/sqrt(5)) + 2.\nAnswer: 5 + 99*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 + 138 = 5*o. Let h = o - 136. Let y be (-1 - h\/10)*(-32)\/(-10). Is 24 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 79*l + 16. Calculate x(1).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1 + 4 + n - 41*n**2 + 40*n**2. Let z(p) = -p. Give -c(u) - z(u).\nAnswer: u**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/18)\/(-38*((-612)\/1071)\/(24\/(-14)))?\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (8\/(-66)*-3)\/(-2). What is the nearest to 2\/9 in -1\/2, -4, 5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 68\/(-6) + 8\/(-12). Suppose 1 = -2*p - 43. Let u = x - p. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3 = -2*s. Let i = -30 + 33. Is i greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-70)\/20) - (7 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -3.\nAnswer: 73\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2048*t**4 - 5376*t**3 - 2232*t**2 - 214*t - 6 = 0 for t.\nAnswer: -1\/4, -1\/16, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 - 3 + 13*z**2 + 45*z**3 - 13*z**2 - 40*z**3 + 20*z**3.\nAnswer: 4*z**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from yrryrrrruayyquafru?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57*((-896)\/84)\/32?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -276*k**3 - 2*k**2 + 5*k - 2. Calculate q(1).\nAnswer: -275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(2\/(-6))\/(7\/42). Suppose 2*i + c = 108, j*i - 144 = -i + 3*c. Suppose -10 + i = k. Calculate the highest common divisor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13153 + -13152.999960915. Round s to seven decimal places.\nAnswer: 0.0000391","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 89 = 133, -6*i + 3*i - 7*f + 3*f - 59 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3*y + 3. Let b be v(3). Let m = 23 - b. What is the greatest common divisor of m and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -28227 - 1\/3*k**2 - 194*k.\nAnswer: -(k + 291)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 + 19)*((2 - 0) + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 15*s + 3. Let y be r(-3). Let t be (-2)\/(-4) + 11\/(-22). Let g be y\/(-9)*(t - 12). What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-344456\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1778598*d**2 - 2*d - 264283.\nAnswer: 3557196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 4 + 4 + 0 - 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 50\/4*24\/15. Suppose 0 = a - 3*a + x. Suppose 3*c + a = 5*c. Solve -13 = 4*d - c for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.92*-1.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - w + 31. Let g be s(0). Let t = -4 + 6. Let x = 2 + t. Solve 3 = -2*a - 5, 5*o = x*a + g for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 71*d - 125*d + 65*d - 70. Calculate the remainder when k(15) is divided by 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 40986?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*d + 3*d. Suppose -2*a - 34 = -2*x, -4*a - 42 = -6*x + d*x. What is the least common multiple of 9 and x?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/(-396)*15\/(-25)*(-16)\/20*-2?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*t - 119*t + 124*t.\nAnswer: -85*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + (-24)\/64 + 273\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5860 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -7 - 0. Let k = w + 40. Suppose 2*q = k - 1. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4199409 + 4199400.999972. Let h = -8 - u. What is h rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -184*u + 94*u + 91*u. Let a(d) = -6*d - 1. Give -a(y) - 4*g(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503089683.\nAnswer: 3, 449, 373489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 22*o**2 + 29*o - 8. What is m(-1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -111212502 (base 7) in base 5?\nAnswer: -3211233231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*s - 6*s + 2*s - 26 - s to z*s + u and give u.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 55 - 122 + 64 + 2*b**2 - 4*b + b**3. Give d(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q - 11. Calculate the smallest common multiple of y(15) and (32\/20)\/(-2) - (-162)\/15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-4 - -1) - (-146 - -152).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**3*l + 2*d*l**2 + d*l - 2*l**2 - 43 wrt d?\nAnswer: -3*d**2*l + 2*l**2 + l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.37717 centuries?\nAnswer: 0.237717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 13*w = 36200. Round w to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -368 - -407. Is (74\/(-6))\/(c\/(-10413)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.254 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2188 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*m = 3*w - 23, -5*w - 5*m + 4*m - 652 = -629 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 398, 785, 1162, 1523, 1862, 2173, 2450, 2687?\nAnswer: 2878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -q**6\/30 - 3*q**5\/20 - 11*q**3\/2 - 46*q. What is the second derivative of p(t) wrt t?\nAnswer: -12*t**2 - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-144)\/30)\/6)\/(6\/(-360)*-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**3 + 1. Suppose 4*v + 8 = -3*m, -2 = v + 4*m + m. Let o = -3 - -2. Let k = v - o. Give u(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148 + -146. Let d(i) = -j - 146*i - 1 + 5. List the prime factors of d(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3a7408a6 - 2?\nAnswer: -3a7408a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-8)*(-340)\/765)\/(1\/(-39)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -24*a + 14. Let l(o) = o**3 + o**2 + o - 1. Let k be l(-2). Let f be h(k). Suppose -t - f = -5*x + 199, -t - 150 = -2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 12:21 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13893 != 11877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/61 (b) 789 (c) 0.4 (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 61*v + 8683. Let k(p) = 34*p + 4343. Give 9*k(y) - 5*x(y).\nAnswer: y - 4328","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 87, 135, 193, 261, 339, 427?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 8 = 0, 4*k - 5*j = -7*j for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -y**3\/3 - 3*y**2\/2 - 5*y. Let v be i(-3). Solve 4*q + 4*r = 2*r + 2, -v*r + 5 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002615 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -3*f - 4*k, 0 = -2*f - 0*k + 3*k + 11 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25938682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-22))\/((-2)\/(20\/3)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4660 - 4659 = -c. Sort 7, c, 3, -18 in increasing order.\nAnswer: -18, c, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453, 438, 409, 360, 285, 178, 33, -156?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 1118 (b) 2 (c) -3 (d) -2\/17 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 + c**3 + 2*c**2 - c + 3 - 7 - 3*c**2. Determine s(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j. Let s be i(-5). Let n be 2 + ((-4)\/2 - s). Which is the third smallest value? (a) n (b) -5\/4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 + -570 - (0 - 24)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-12)*3\/(-63)*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-10)\/3)\/(24\/18) - 138905\/(-26)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 521, -3\/5, -0.153885.\nAnswer: -3\/5, -0.153885, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.78 or 68683?\nAnswer: 68683","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(48) + -5 + 5)**2.\nAnswer: -52 - 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1321642 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -762 = -4*v - 2*s, 3*v - 2301*s + 2306*s - 547 = 0. What is the remainder when 2919 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-1 - 10\/(-12)). Suppose 0 = 4*c - 6 - h. Solve 2*a - 4*a - 6 = -v, -c*v - 2*a = 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 561 - -211?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 26*b**2 - 73*b - 476. Calculate the remainder when p(-15) is divided by 216.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1236*g**5 + 6531*g**4 - 1710*g**3.\nAnswer: 3*g**3*(4*g - 1)*(103*g + 570)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/18 - (-66)\/18. What is the third derivative of -70*b**2 + 74*b**2 - 39 + b**h + 36 - 7*b**5 wrt b?\nAnswer: -420*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32459*d*g*m + 23*d*g + 368*d*m**2 + 8*d + 4*g + 2*m**3 + 15469 with respect to m.\nAnswer: -32459*d*g + 736*d*m + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 44 and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/31419500 and -43\/89770.\nAnswer: 31419500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 187\/24, 5, -2 in descending order.\nAnswer: 187\/24, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*z**2 - 4*z**2 + 7*z**2 - 4*z**2.\nAnswer: -5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u + 36. What is the smallest common multiple of 1 and y(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sll when three letters picked without replacement from {l: 2, s: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4 - -89) + -1)\/2. Let d(h) = 8*h**2 - 4*h**3 + 50*h + 3*h**3 - y*h - 24. Let x be d(8). Are x and 47\/6 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 14, w: 4}. Give prob of picking 4 o.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhddddhhdhhhdddhdhh. Give prob of picking 2 h and 1 d.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 7464\/5 and 1492 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*g + g - 4*g + (-3 + 3 - 2*g)*(0 + 5 - 3) + g - 3*g + 4*g + (g + 5 - 5 + (3*g - 2 + 2)*(-4 + 3 - 1) + 47*g + 597 - 597)*(-2 + 0 + 4).\nAnswer: 83*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**2 + 2*l**2 + l**2 + 2 to w*l + q + v*l**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9 - -7bd36?\nAnswer: 7bd41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -273, -619, -1103, -1725?\nAnswer: -2485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -372 + 353 + (-214)\/(-12) and (1\/(-6))\/((-3)\/(-7)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184.771 rounded to the nearest 10?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -3*s**2\/2 - 27*s\/2 + 15 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 8, 2\/23, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111104 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 112 + 23303203?\nAnswer: 23303321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 6*t**2 + 12*t + 28. Give g(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**3 + 5*p**2. Let r(a) = -6*a**3 - 14*a**2. Let l(w) = -w - 14. Let t be l(0). What is t*o(j) - 5*r(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 371, -12 in descending order.\nAnswer: 371, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -148, -299, -450, -601?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 2 + 9 + 5 + (-3 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-54)\/729*2\/(-3)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - (-42 + 56 - (-2 + 2 + 6))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*d**2 + 62*d**2 + 88*d**2 + 0 - 2*d**2 + 0 + (-d + 0*d + 3*d)*(-2*d + 2*d - d) - 2*d**2 + 1 - 1.\nAnswer: 129*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yjyjcqjyjbppj. Give prob of sequence bqy.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + c = -1, v + 2*c + 4 - 2 = 0. Suppose -4*f + v*f + 20 = 0. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 150655984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-558 - 17*p**2 + 558)*(-13 - 6*p + 13) as v + z*p + h*p**2 + m*p**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1645)\/(-705) - ((-2 - -5) + 0))*516\/(-8).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 73835 from 29247.\nAnswer: -44588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 156\/25?\nAnswer: 156\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -7*v. Let w(c) = -42*c + 144. Let r(j) = 6*j - 20. Let n(b) = 36*r(b) + 5*w(b). What is a(n(k))?\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d + 101. Let a(f) = -4*f - 199. Calculate -2*a(s) - 5*b(s).\nAnswer: -2*s - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22 - 21 + 48 + w**4 + 3*w**2)*(2*w - 4 + 4).\nAnswer: 2*w**5 + 6*w**3 + 10*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 - 42 - (4 + -18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 8 - 3*m + 0 + 10 + 37*m**2 - 3*m**3 - 38 to the form c*m + x*m**3 + q + u*m**2 and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11190, 22177, 32750, 42699, 51814, 59885, 66702?\nAnswer: 72055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 23*c = 22 - 456, -c + 3*c - 8 = 297*l - 293*l - 64 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 17 = 5*c - 570, -20 = 5*i. Suppose 3*z - 715 = 1391. Suppose 17*y - z = -y. Calculate the remainder when c is divided by y.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7355 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 52610?\nAnswer: 1841350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 4*n + 6. Let o be w(-4). Suppose 7*a - o*a - 9 = 0. What is the highest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -25. Let g = -2 - r. Let o(l) = l**3 + 9*l**2 - 11*l - 7. Let v be o(g). Solve -2*d = -5*y + v*y + 16, 0 = 4*d + 2*y + 14 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -0.24, 1\/5, -0.3, -6\/5?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-2) + (2 - 1). Let k be 21 + 3\/(s + 0). Solve -3*m + k = 6 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2632 + 1852. Round d to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, z: 3}. What is prob of picking 2 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-41)\/(-4) - -2) + (-1)\/4. Let u = 7 - z. Let r(w) = -9*w**3 + 5. Let h(o) = -28*o**3 + 16. Let c(a) = u*h(a) + 16*r(a). Factor c(t).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 - 277296*d**2 + 2495502*d.\nAnswer: 2*d*(d - 138639)*(d - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-630)\/4)\/3*(-200)\/75. Let f be (-436)\/u + 4 - 9\/15. Sort -0.3, f, -4\/9 in decreasing order.\nAnswer: f, -0.3, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p + 12. Let c be d(-9). Suppose h - c*h = 10. What is the closest to -1 in 4, h, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 14369344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/29)*a*a**(4\/3)*a)**(5\/4)*a**(2\/5)*a\/a**1*a**5*a**(2\/7)\/a assuming a is positive.\nAnswer: a**(26693\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -3*b + 5*n + 58, 5*n - 38 = -3*b. What is the third derivative of -20*x**5 - 13*x**5 - 43*x**2 + b*x**5 - x**3 wrt x?\nAnswer: -1020*x**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3488 - 3262 + 7832)*(-3*k**2 + 0*k**2 + 2*k**2).\nAnswer: -1082*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73854 and 1232?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 12 = -3*n + 2*n, 12 = 5*n + 2*q. Suppose -2*g - 2*i = -n*g, 7 = 2*g + 5*i. Solve g = -x - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, 110, 252, 396, 542?\nAnswer: 690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 PM and 4:17 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.689 - -0.68900155. What is a rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s**3 + 10*s**2 + 9*s - 2. Let o(u) = -16*u**3 + 14*u**2 + 13*u - 3. Let l(a) = -5*o(a) + 7*r(a). Let b(z) = z**2 - z + 1. Give -2*b(p) + l(p).\nAnswer: 3*p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -269.\nAnswer: -3\/269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6948 divided by 12\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - d = 4*m - 8, 4*m - 14 = 5*d. Let c be 2\/6 + (-14)\/m. Let n be (-297)\/55 + 2 + ((-6)\/(-15) - 0). Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3386 = 3*s - 3*w - 12656, -3*w = -18. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 times 0.05611?\nAnswer: -3.9277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 10*i - 264*i**2 + 2 - 5*i + 7*i - 240*i**2.\nAnswer: -504*i**2 - 9*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3494, 3516, 3540, 3566, 3594, 3624, 3656?\nAnswer: 3690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 + 2*x**2 + 2*x - 2. Let a be w(2). Let r be -4*(-3 + 1)\/4. Differentiate -v**a + 1 - 3 - v**3 + v**r wrt v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57 - 3*v + 9*v**4 - 4*v**4 + 39 + 12 wrt v?\nAnswer: 20*v**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 = -2*a, 5*a - 15 = 17*w - 12*w. Suppose -t = n - 108, 5*t = -4*n + 2*t + 437. Suppose w = 4*h - n + 45. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.206 times -2.3?\nAnswer: -163.7738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52 + 4*r + 20 + 32 - 22*r - 12*r + 26*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (0 + 1) - 2. Let f = v + 3. Let x = -3 + 3. Which is the smallest value? (a) x (b) f (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 13.2795 and -2.\nAnswer: -26.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46900273 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13110 - 201103?\nAnswer: -121333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0 - 3*t + 3\/2*t**2 + 0*t**4 + 0*t**5 + 0*t**6 + 0*t**3 + 1\/630*t**7. Let b(d) be the first derivative of s(d). Factor b(l).\nAnswer: l**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -i - 32*s + s, -7*i - 42*s + 46*s - 43 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-74)\/(-40) + -2 - (-6)\/15.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 877092347?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from nnnlln?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -45. Suppose 9 = -3*d - 3*o, 6*d - 3*d - 4*o = j. Solve 3*f + 2*f + 25 = d for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 0*j - 1\/3*j**4 + 28*j**2 + 0 - 4*j**3. What is the first derivative of x(r) wrt r?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ippi when four letters picked without replacement from {w: 2, i: 5, p: 2}.\nAnswer: 5\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83805705 and 420?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 253648 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, -6\/11, -196.34, -4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqeqeeqeqqe. Give prob of picking 3 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*u = -10, -4*b = b + 2*u - 28. Calculate the remainder when b + 7 + 2*2 is divided by -2 + 22*1\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-1392)\/(-1160))\/((-1)\/(-10)) and 12276.\nAnswer: 12276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -z + 33, -3*b + 15*z + 105 = 20*z. Suppose b*m = 32*m - 20386. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3333 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 32 + 40*k - 3*k + 12 + k + 18*k.\nAnswer: 56*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64840 - 44439. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*a - 4. Suppose -5*g - a*v + 1067 = 0, -2*g = 3*v - 10 - 408. List the prime factors of g.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 7*x**2 - 6*x + 4. Let d be q(8). Let c(w) = 20*w - 45*w - 24 - d*w. Let p(i) = -9*i - 5. Let b(a) = 5*c(a) - 24*p(a). Determine b(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5701, 45541, 153697, 364327, 711589?\n\"Answer: 5693*h**3 - 11*h + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 4:16 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-520)\/9100*(-215)\/4 and (-49)\/4*2\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 2*l - 1. Let k(u) = 137*u - 1 - 65*u - 71*u. Suppose -2*w + 37 = -3*a, -4*w + 3*w - 9 = 4*a. Let f = -10 + w. Give f*p(h) - 3*k(h).\nAnswer: -h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pggppgpgpigpigp. What is prob of sequence ii?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19678833 a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by (54\/9 - 8*1)*-4.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2315.44171 rounded to 1 dp?\nAnswer: -2315.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s = -27 + 111. Put 10, s, 5 in descending order.\nAnswer: 10, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*g**3 + 0 - 2\/3*g + 0*g**2.\nAnswer: 2*g*(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 637 is divided by 67.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6698, -26617, -59758, -106121, -165706?\n\"Answer: -6611*n**2 - 86*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4114505 (base 6) to base 7.\nAnswer: -1446413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 20 = -3*h. What is the remainder when (8\/(-7))\/(506\/(-1771)) - -44 is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 140, 498, 1078, 1880?\nAnswer: 2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/134520 and 11\/42252732?\nAnswer: 422527320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0079629451 rounded to six dps?\nAnswer: -0.007963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 516 + -556 + (-3 + -3 + 7 - -2)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17\/78 + 2\/39. Let n = 61.3 + -61. Which is the smallest value? (a) q (b) -2\/11 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of 0*b**4 - 1\/120*b**6 - 1\/60*b**5 + 59\/6*b**3 + 9*b**2 + 0*b + 0. What is the remainder when o(0) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4983887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6*h + 4 = 0. Solve h*j = -5*t + 16, -t - 13 = -j - 4*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 22 = -14*o, -2*o = -3*o - 4*q - 13 + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 403873 divided by 131?\nAnswer: 3083","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -23, 3, -1, 2\/165?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 0*g - 16\/3*g**3 - 3\/4*g**4 - 1\/120*g**5 + 0*g**2 + 18. Let a(u) be the third derivative of m(u). Calculate a(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**2\/2 - 3*w + 6. Let k be f(-15). Solve h + 3*h = -k for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 162 - o - 28*o**3 - o**4 - 160 + 54*o**2 + 28*o**3 as h*o**2 + r*o**4 + q*o**3 + u + b*o and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1938)\/170 - -11) + 1\/(5\/(-28)). Let b(f) = -3*f + 1. Let s(m) = 7*m - 2. Give j*s(u) - 15*b(u).\nAnswer: 3*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**3 - 400*u**2 + 78*u + 7802. Let v be g(-100). Determine k so that 8\/9*k**v - 8\/9 - 2\/9*k + 2\/9*k**3 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by -8912757\nAnswer: 26\/8912757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -34 - -126. Let h = 94 - p. Let f = -1 - 2. Put h, f, -9 in descending order.\nAnswer: h, f, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*s + 19 - 19)*(-6*s + 3*s + s + (3 - 3 - s)*(-4 + 3 + 2))*(-5*s + s + 2*s).\nAnswer: 48*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201344?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 18198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 169*f - 59*f - 44*f - 57*f.\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -38*f + 17. Let v(x) = 13*x - 6. Let p(k) = -6*c(k) - 17*v(k). Let g(t) = 5602936*t + 50*t**2 - 5602936*t. What is p(g(j))?\nAnswer: 350*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 + -56c4?\nAnswer: -56c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2*f = u - 110, -410 = -4*u + 3*f. Suppose -u - 58 = -3*z. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 22*g - 115. Let j be 186\/21 + (-1)\/(-7) + 0. Let o be k(j). Solve i + 0*i + o = 0, -5*b + 3*i = -11 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241 + 66. Let h(k) = k**2 + 110*k - 4040. Let g be h(28). Which is smaller: g or z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*p + p + 3269*p**2 + 3158*p**2 - 6540*p**2 + 7986*p**3 wrt p?\nAnswer: 47916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -124.4 - 0.6. Let q = m - -129. What is the nearest to q in 1\/4, -2, -4\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94288 divided by 5\nAnswer: 94288\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -56 (base 15) to base 4\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -3, 1832 in decreasing order.\nAnswer: 1832, 2, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23 - -540027.\nAnswer: 540004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-2) - (-16989)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 266*s**3 - 1830*s**2 + 1372*s + 192.\nAnswer: 2*(s - 6)*(s - 1)*(133*s + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9749134 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3717264247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -29*s + 219. Determine r(7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 915882 is divided by 372.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - (3 + 10) - 26 - 18?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 86445589 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3299?\nAnswer: 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035549 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -12, -35, -78, -147, -248?\n\"Answer: -x**3 - x**2 + x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i. Suppose 0 = u + 4*u - 10. Suppose u*w - 4*q + 16 = 0, -3*q + 6*q - 7 = -w. Let m(l) = -4 + 1 + 4 - 2*l. What is w*m(d) - 2*c(d)?\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (57\/(-6))\/((-2)\/244).\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 27.6?\nAnswer: -27.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4641*i + 4484. Let n(a) = -4641*a + 4472. Let w(v) = 7*n(v) - 8*s(v). What is the derivative of w(h) wrt h?\nAnswer: 4641","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 10669*y + 10668*y + 10672*y - y**2 - 32009*y.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 7*w - 6. Let h be r(-8). Suppose -h*j = 3*j - 20. Let v(l) = 2*l**2 - 2*l**2 - j*l**2. Let p(u) = 2*u. What is p(v(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -228, -2\/13, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 2. Let d(h) = h**3 + 6*h**2 - h - 4. Let q be d(-6). Suppose -2*l = 3*x - 28, 7*x - 3*x - q*l = 14. Let s be v(x). Is s at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -4*p - 4*s, 436*p - 214*p - 4*s - 5 = 221*p + 37 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -73)*(-62)\/(-93). Suppose 14*x = 18*x - g. Let o = 9 - 5. Solve -2*h + o = r, -5*r - h - h = x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 - 6*n - 3. Give w(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 2:12 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 greater than -1\/5525158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (228\/10)\/(-85*(-44)\/(-3025)). Let u = -16077\/952 - n. Find the common denominator of u and -67\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-128)\/(1*(-6)\/3). Suppose 4*q - 156 = v. Suppose 3*r = 3*s - 60, 2*r - q = -5*s - 2*r. What is the remainder when 29 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9460 + -11. Is z\/66 - 1\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -26. Suppose -5*l = -d, 24 = 4*x - 3*l + l. Let h(f) = -f**2 + 4*f. Calculate the remainder when x is divided by h(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzjo when four letters picked without replacement from jjjoozxjjo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 10. What is the remainder when 12 is divided by 44\/6 + 3\/b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.74 + 1.74. Which is the second smallest value? (a) f (b) -0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*-28*118\/28084.\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 + 31341534?\nAnswer: 31341531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t\/t**(-4\/3)*t)*t)\/t*t\/t**(-23))\/(t**(-2\/23)\/t)**(1\/52) assuming t is positive.\nAnswer: t**(81403\/3588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 0)*(-4*j + 7*j - 2*j) + (-1 + 1 + 4*j)*(-6 + 1 + 3 + (4 - 1 - 4)*(2 - 3 + 2)) - j + 3*j + 2*j to l*j + w and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69 + 69. Solve 2*b - b = p for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3335219\/226116 - 2\/56529. Is -2 < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5b3552 (base 12) to base 6\nAnswer: -51403342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52.823 - 52.6. Let i = p - 0.023. What is the nearest to -0.2 in i, 0.4, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.411 plus -0.3?\nAnswer: 0.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 580992 is divided by 385.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h + 21. Let n(d) = -1908*d. What is k(n(y))?\nAnswer: -3816*y + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 872402 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11200617*-0.2\nAnswer: -2240123.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppzzzzzzzzzz. Give prob of picking 2 p.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -1737131\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-344)\/(-215)*(-5)\/(-2). Let d(v) be the first derivative of 7 - 7\/3*v**3 + 0*v + v**m + 0*v**2. What is the third derivative of d(l) wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 3140.\nAnswer: -15700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 648910421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1146, -1153, -1160, -1167, -1174, -1181?\n\"Answer: -7*s - 1139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) -2.1 (b) 4 (c) -4.2 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 188 (b) 2\/5 (c) 2 (d) 1\/106\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (385\/(-20))\/11*-8. Suppose 5*s - 3*w = 1454, -3*s - 15*w + 878 = -v*w. List the prime factors of s.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99999419.84 less than -1?\nAnswer: -99999420.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1420*q. Let y(w) = -416509*w. Calculate y(u(i)).\nAnswer: -591442780*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 280\/(-360)*(-9)\/2?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30179 or 271622\/9?\nAnswer: 271622\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m + 2. Determine j(-10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 u, and 2 n when four letters picked without replacement from nuuzsdndud.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 19*b**2 + 14*b + 10. Let m(d) = 3*d - 89. Let t(c) = -c**2 + 9*c + 49. Let q be t(11). Let g be m(q). Is f(g) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159808 is divided by 269.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -58\/3 in 5, 0.1, 2\/13, -2\/5, 24?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 3)*(10 + 9 - 13 + 3 + 2 - 4 + (4 + 1 - 1)*(-4 + 2 + 4))*(-1 + 3*i**4 + 1) + 3*i**4 - 6*i**4 + 2*i**4.\nAnswer: -91*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/1 + 2)\/2. Let o be (1\/4*w)\/2. Let g = -0.08 + 5.08. What is the nearest to 0.3 in g, -3\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.6 + 1.5. Let r be 133\/(-28) + (-36)\/(-48). Which is the fourth smallest value? (a) 2\/5 (b) h (c) 0.2 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -5.2668759261?\nAnswer: 3.2668759261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o**(2\/11)*o**(-2\/9)\/(o*o*o**(1\/5)*o*o))**(34\/5) assuming o is positive.\nAnswer: o**(-105026\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*-2*(-7)\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**12\/w)*w**11*w\/((w\/(w*w**(-8)))\/w)*w*w*w*w\/(w**(1\/3)\/w*w)*w)**(-22))**23 assuming w is positive.\nAnswer: w**(506\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2469 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6039*q**3*y**3 - q**3*y - 45*q**3 - 3*q**2*y**3 - 8*q**2 - 2607*y**3 - 7 wrt q.\nAnswer: -36234*y**3 - 6*y - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 6*g - 7. Let s be k(-7). Suppose -5*r + 5 = -5*v - s, v = 2*r - 4. Suppose 0 = -r*z - 15, 5*i + 0*z - 3*z - 40 = 0. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfhfffffffffffbffhff. Give prob of sequence fff.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7995310?\nAnswer: 2, 5, 71, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -472 - -520 - (13 + (-2 - 1))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w + 0*w)*(-3545 + 2489*w**2 + 1745 + 1800).\nAnswer: 2489*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1015*p**3 + 2*p**2 + 6*p + 175 wrt p.\nAnswer: 6090*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -708979, -709007, -709043, -709081, -709115, -709139?\n\"Answer: t**3 - 10*t**2 - 5*t - 708965","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, -15, -145, -317, -525, -763, -1025, -1305?\nAnswer: -1597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1251368196 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -1\/2 (c) -47 (d) 729\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**0*d)*d)**(-2\/5))**(-41) assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 308, 618, 928, 1238?\n\"Answer: 310*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.1 - -14. Let d = s + -0.5. Let k = -0.087 + 0.587. Which is the nearest to 1? (a) d (b) 0 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by 38\nAnswer: -46\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8)*t**(2\/17)\/t)**49\/(t*(t*t**(-12))\/t*t**(-6\/11))**(-31) assuming t is positive.\nAnswer: t**(-148318\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*p**5 - 3*p - 5*p - p**3 + p**3 wrt p.\nAnswer: 200*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(90\/5)*(-10 + -5). Suppose 4*z + 4*t = 56, -g*z + 9*t - 4*t + 120 = 0. What is the greatest common factor of 171 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -104171028*f. Let n(s) = -s**2. Determine t(n(l)).\nAnswer: 104171028*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (180\/400)\/(-9)*-2\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 25537995 and 29869.\nAnswer: 25537995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 10*h - 8*h + 30, -4*h = 3*n - 17. Solve -n*g + 2 - 13 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - 3. Let m(w) be the second derivative of -w**5\/5 - w**4\/2 + w**3\/3 + 7*w**2\/2 + 8*w. Let l(q) = q**3 + q**2 - 1. Calculate a*l(z) - m(z).\nAnswer: -2*z**3 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -1. Suppose 2*l + 2*j + 2 + 0 = 0, 4 = -4*l - w*j. Which is greater: l or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -166348277 * -0.03\nAnswer: 4990448.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -0.04, -4355, -2, -5, 0.5 in increasing order.\nAnswer: -4355, -5, -2, -0.04, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1351*y - 4296*y + 187606 + 95222 + 55992 = 0 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519334 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 141 * 0.0587.\nAnswer: 8.2767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 n, 1 o, and 1 v when four letters picked without replacement from {v: 2, w: 1, n: 6, f: 2, o: 3, r: 1}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 2*q + 0*q + (2 - 2*q - 2)*(1 - 1 + 2) + 4*q - 2*q - 4*q + (3*q - 1 + 1)*(-4 + 0 + 2).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 7 = 14. Let b = 6 + -1. Put -4, h, b in decreasing order.\nAnswer: b, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(sqrt(44)\/sqrt(4) + sqrt(11)) - sqrt(36))\/(-3*sqrt(432) + sqrt(12)))**2.\nAnswer: 3\/1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + -3 - 1)*-28 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -606 times -8398?\nAnswer: 5089188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6 - 6 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -198069803.68 rounded to the nearest 10000?\nAnswer: -198070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/88692681 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5537 times -1.07?\nAnswer: 5924.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43539 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2528 smaller than 2547?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 5*m**2 + 3. Let p(n) = 4*n**3 + n**2. Suppose 2*r = 3*r + 4*k - 13, 5*k - 20 = -5*r. Let j be p(r). List the prime factors of u(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -3*m - 5. Let r(a) = -a - 2. Let p(h) = 2*b(h) - 5*r(h). Suppose -4*d + 1 = z - 5, 5*z - 5*d = 5. Let t(s) = s + s + z*s. Calculate t(p(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5674034 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/7))\/(p**(-4\/7)\/p) assuming p is positive.\nAnswer: p**(17\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1268247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -14. Suppose -42 = x*u - 7*u. Solve w - u = 5*d + 4*w, -3*w = -2*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (1 + (-3 - (0 - -68))). Let o = 70 - y. Solve 0 = -5*c + 4*q - 14, -3*c + q - 3 = o*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -150385, -150199, -150013, -149827, -149641?\n\"Answer: 186*t - 150571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7427 - 5a23?\nAnswer: 1504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 138 (b) -2\/5 (c) 2 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -8, -2\/15, -31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 109 + 103 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*i - 37 = 0, 5*m + 6*i - 4*i = 131. Let w be 7\/3 + -3 - 302\/(-3). Suppose 3*b + 28 - w = 0. Which is bigger: b or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 9*h - 35. Let l(r) = 4*r - 17. Let q(w) = 3*a(w) - 7*l(w). Let t be q(12). Solve -t*i + 16 = -4*y, -y - 10 = -2*i - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 544.0003294 + -544. What is v rounded to 5 dps?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -5\/23, -0.2, -0.3, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 369\/54 + (3 - 92\/24). Let v(t) = -1 - 16*t + n*t + 14*t. Determine v(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - (-150 - -207)) + 163.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 496327 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -5*s - 12. Let j be (-4)\/(-7) - s*30\/(-126). Suppose -c - 3*r = -17, 0*c + 4*c - 54 = j*r. Calculate the smallest common multiple of 2 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 26*s - 6. Let t(z) = -363*z + 84. Let r(c) = -14*l(c) - t(c). Let h(y) be the third derivative of 29*y**5\/60 + y**2. Determine h(r(p)).\nAnswer: 29*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -38*c**2 - 338*c + 40. Let f be i(-9). Let b(m) be the third derivative of -1\/6*m**3 + 17*m**2 + 1\/12*m**f + 0 - 1\/30*m**5 + 0*m. Calculate b(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -199, -422, -645, -868, -1091, -1314?\n\"Answer: -223*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2495, 4881, 7219, 9509, 11751, 13945?\nAnswer: 16091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10408 is divided by 386.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1762544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 61951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*b + 0*b + 12*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0019618 to 4 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-326)\/174 + 2)\/(-1). Let r = d + 574\/29. Find the common denominator of r and (544\/56)\/(18\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6 - 4*o - 2 - 1 - o**2. Let b be j(2). Do b and -10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 14 and -0.2.\nAnswer: 13.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8800885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -53785 + 53784. Let o(u) = u**3 - 7*u**2 - u + 8. Let t be o(7). Put -4, 6, t, w in increasing order.\nAnswer: -4, w, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 485*d + t = 487*d, -3*d - 2*t + 7 = 1 - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5209*n = 5299*n - 540 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of 2*r**5\/15 - 56*r**2. Let g(c) = c - 8*c + 5*c. Give g(d(j)).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-365 - -391) + (-20 - 0) + 2\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*j = -2*j - 14 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(176) + 4 - (-5*sqrt(1100))**2) + (sqrt(110)\/sqrt(250) - -5*sqrt(176))).\nAnswer: -82488 + 363*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 563 - 562.991295. Round w to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 79, 48, 0 in decreasing order.\nAnswer: 79, 48, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 3*s**3 - 38*s**2 - 3*s + 343. Let i be b(12). Solve i = -h + 11 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/2)\/a)**7*a*a\/a**(-2)*a**(-2\/15) assuming a is positive.\nAnswer: a**(-199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -6*a**2 + 16. Let w(t) = t**2 - 3. Let f(p) = 3*i(p) + 16*w(p). Let d(r) be the first derivative of -r**3\/3 + 1. What is f(d(k))?\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43190 and 5836820.\nAnswer: 40857740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*d - 5*d + 30*d)*(0*d**2 + 2*d**2 - 3*d**2) + 15*d**3 + 12*d**3 - 34*d**3.\nAnswer: -93*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 x when four letters picked without replacement from zzzzzzxz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 15) to base 11.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 147872.\nAnswer: 29574.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2500999 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 -105, -91, -81, -87, -121, -195, -321, -511?\n\"Answer: -2*u**3 + 10*u**2 - 2*u - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 18 = 9*v. Let z = -17 - v. Let q(a) = -z - 3*a + 3*a - 3*a + 2*a. Let b(j) = j**3 + 5*j + 6. Calculate -b(x) - 5*q(x).\nAnswer: -x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3438 by -6.\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose k*f + 2*h = -3*h + 32, -4*f + 44 = 5*h. Suppose 4*z - f = 14. Calculate the greatest common divisor of 40 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -6*b**5 - 136*b**4 - 922*b**3 - 1744*b**2 + 1368*b + 1440 = 0.\nAnswer: -12, -6, -5, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 614*w + 5130 = 329*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*k**2 + 42*k - 1 + 57*k - k**4 - 97*k as f + s*k + d*k**4 + m*k**2 + w*k**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tzw when three letters picked without replacement from dtwzbad.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237391315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 440 and 740696.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/21, -2\/413, 2\/13, -0.1 in descending order.\nAnswer: 2\/13, -2\/413, -1\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3240\/(-315)*(-7 + (-18)\/(-4) + -1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6590809 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -162*b**2\/7 - 1209650*b\/7 + 29868\/7 = 0.\nAnswer: -7467, 2\/81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 5\/4, 47, -1, 2\/7, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(-y**4 - 34768 + 34768 - 39*y**5 - y**3).\nAnswer: -78*y**5 - 2*y**4 - 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2 + 12 = 4*p, p - 3 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143*o**5 - 228*o?\nAnswer: 2860*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p + 152 = 192 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148281644.\nAnswer: 2, 7, 23, 37, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -204 + 391. Let j be -22 + 2 - (0 + 2). Let x = 39 + j. What is the highest common factor of c and x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 453992 divided by -28\nAnswer: -16214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 6390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1895?\nAnswer: 3\/1895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -57963*i**4 - 24460942*i**3 + 1536474860*i**2\/3 + 14743432*i\/3 + 35360\/3 = 0.\nAnswer: -442, -2\/417, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -152289981.0000002 + 152289967. Let r = 14 + x. Round r to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11)*-1))**2 + -1 + (sqrt(22)\/sqrt(2) - sqrt(11)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45067472 times -0.5?\nAnswer: -22533736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -48, 21, 3 in increasing order.\nAnswer: -48, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4003, -5, -3 in descending order.\nAnswer: 0, -3, -5, -4003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 210204 times 1.37?\nAnswer: 287979.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (422 + 557 + 69)*(8*d**2 - d**2 - d**2 - d**2 + 2*d - 2*d - 2*d**2 - 1 + 1 + (-d**2 + 3 - 3)*(4 - 4 - 1)).\nAnswer: 4192*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6093 less than -0.5?\nAnswer: -6093.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5159 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = r - 2*w + 16, 5*r + 3*w - 20 = 0. Suppose -p + d = -d + r, -7 = p - 3*d. Solve -2*z + 7*z - 19 = -2*c, 0 = c - p for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 70\/(-15) + (-1)\/3. Let i = w - -5. Suppose -15 = -i*l - l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 - 42*s + 159. Calculate m(14).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 16 = 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498220?\nAnswer: 2, 5, 29, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99106800 and 20?\nAnswer: 99106800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2026, 938, -4 in descending order.\nAnswer: 938, -4, -2026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13547 is divided by 154?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.2071\nAnswer: 0.06213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 127, 190, 253?\nAnswer: 316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2 - 3 + 5 + 6 - 4*l + l**2. Let c = -11 - -16. Is u(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**4 + 2*w**4 - 4*w**4 + (2*w**2 + 3*w**2 - 4*w**2)*(-w**2 - 2*w**2 + 2*w**2) + 2*w**4 + 0*w**2 + 0*w**2 + (3*w**3 + w**3 - 6*w**3)*(1 + 5*w - 1).\nAnswer: -12*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 2:10 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 1496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l**3 - 6*l**2 - 9. Let t(q) = 5*q**3 - 5*q**2 - q - 7. Let v(y) = -2*o(y) + 3*t(y). Let r(x) = 5*x**3 - 2*x**2 - 2*x - 2. What is -3*r(w) + 2*v(w)?\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(180) + sqrt(180) + sqrt(180) + 0 + -2.\nAnswer: -2 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t - 40*t + 3*a = -7, 0 = 4*t + a + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -8*i**2 - 3*i - 7. Let b(n) = -n**2 - n - 1. Suppose 4*x + 3*s - s = 12, -s + 1 = x. What is x*b(g) - j(g)?\nAnswer: 3*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (14 - -14) - -14?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/5 (b) -0.7 (c) 5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the second derivative of d**5\/5 - 2*d**4\/3 + d**3\/6 - 17*d**2 + d. List the prime factors of m(6).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 1)*(11*j - 3*j + 0*j) as n + u*j and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.027 * -172\nAnswer: -4.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a meter in centimeters?\nAnswer: 1075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 321020, 321022, 321024, 321026?\n\"Answer: 2*x + 321018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -5*v + 10*v. Suppose 5*u - 1 = -r - 3, -3*r + v = 2*u. Is (-117 + r)*1\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 15*o**2 - 34*o - 18. Let b be d(12). Let v(c) = -c**3 + 7*c**2 - 5*c - 8. What is v(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**3\/3 + 5*u**2\/2 + 6*u - 6. Give o(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -132013202132 (base 4) to base 5\nAnswer: -4010121243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -369.4 * 0.4.\nAnswer: -147.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107731 is divided by 107705?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 456844975 rounded to the nearest one million?\nAnswer: 457000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**2\/2 + 7*h + 46. Determine y(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 786, 1605, 2682, 4023?\nAnswer: 5634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 + 112508134*n - 2.\nAnswer: 112508134*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 0, -256 = -w + 12*l - 15*l. Calculate the remainder when w is divided by 10\/65 + 334\/26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 3*j**3 + 0*j)*(-3 - 6 - 2)*(-1 - 2 + 0)*(3 - 6 + 1)*(-3*j + j + 3*j).\nAnswer: -198*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 2*x**6\/3 - 2*x**2 - 3. What is the second derivative of p(c) wrt c?\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -0.2 (c) -2 (d) 4\/7 (e) -8778\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 2:36 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1328?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3*t + 9, t = x + 2*t - 1. Let z(u) = 194*u - 1 - 2 + 7*u**2 - 15*u - u**3 - 184*u. Determine z(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4271 * -107.\nAnswer: 456997","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 8:02 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 6:57 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -519 + 12*l**3 - 2*l**3 + 518 as m*l**2 + b + f*l + w*l**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 85808 = -27413. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d (base 15) in base 8?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3*h - 438*d**3 - d*h + 111*d - 3*h wrt d.\nAnswer: -6*d*h - 2628*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**2\/2 - 24520*g + 60123040 = 0. Calculate g.\nAnswer: 4904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of k**4\/7 + 40*k**3\/21 + 66*k**2\/7 + 144*k\/7 + 6. Factor t(v).\nAnswer: 4*(v + 3)**2*(v + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - d - 2. Let c be p(2). Let m(i) = -5 + 79 - 18 + 181*i - 16 - 11. Is m(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -23*j + 8881*j**3 - 4 + 2 + 12*j**2 - 8868*j**3. Let i(z) = -28*z**3 - 24*z**2 + 47*z + 5. Let c(t) = -5*a(t) - 2*i(t). Factor c(y).\nAnswer: -3*y*(y - 1)*(3*y + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 - g. Suppose 2*o = 4*o - 20. Suppose 3 = -a + 5*b - 6, -o = -5*b. Let y(d) = -d**2 - 6*d**2 + 2*d**2 + 8*d**2 - 3*d. Give a*y(u) - 4*t(u).\nAnswer: -u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20947*s**2 - 4865*s?\nAnswer: 41894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o - 2*o - 4*o)*(-4 + 4 + 1)*((-5 + 3 + 3)*(2*o + 2*o - 5*o) - o + 0 + 0 + 4 - 2*o + 0 - 5).\nAnswer: 8*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1678 + 1707. Suppose -a - 269 = -4*i - 38, -15 = 5*a. Calculate the remainder when i is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7895.685 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -208, 44, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/21 (b) -80 (c) 165.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*u - 1080 = 2357, -4*l + 5*u + 4585 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63170?\nAnswer: 2, 5, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**2 + 321*s - 1590. What is t(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + 40 + -28 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2912 and 672?\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455505 + 455505 - 5*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -401 + 6017\/15. Suppose 25 = z + 5*r, 3*r = -4*z + 4*r - 5. Let x(f) = -f**2 + 12*f - 8. Let a be x(11). Put z, m, a in descending order.\nAnswer: a, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-23)\/10)\/(2\/(-4)). Let v = t - 179\/40. Is v greater than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -39*k - 7. What is the remainder when c(-4) is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 4*l - 2*i, -5 + 14 = -3*i. Is l smaller than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sevenths of a week?\nAnswer: 24480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.65*0.08751.\nAnswer: 0.0568815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*o - 0. Suppose 1 = o*k + 5*w, 2*k + 2*k = -3*w + 9. Suppose -x + 8 = k*x. Which is the nearest to x? (a) -3 (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12620 - 399*m + 15181 - 1298*m wrt m?\nAnswer: -1697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -p**4\/12 + 3*p**3 + 39*p**2. Let b be d(7). Differentiate w - 25*w**4 - 24 + 26*w**b - w with respect to w.\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in -874, 2\/17, -11, -3\/2, -0.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 383 + 217 - t**3 + 169 + 3*t**2 - 5*t to the form d + l*t**2 + q*t + x*t**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - a - 217 = 4*q, 0 = -5*a - 10. Suppose 0 = 4*u - 29 - q. Let y = u - 11. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10841.\nAnswer: 37, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2211704 is divided by 276392?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.18 + -0.22. Let m = z + 0.04000009. Round m to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 - -27. Let u = -31 - -31. What is the third biggest value in p, u, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4672 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - -2?\nAnswer: -2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v\/(v\/(v**(4\/19)*v))*v**(2\/21)*(v*v*v*v\/v**(-22)*v*v)**11 assuming v is positive.\nAnswer: v**(123812\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 4:13 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 6 = -0*b, 1551*b = a + 1553*b - 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3 + 88*m + 18*m**4 - 88*m - 15 wrt m?\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-50)\/(-6))*30\/(-4).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -15874?\nAnswer: -15876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1761105 to the power of 1\/2, to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17412 and 253752?\nAnswer: 368194152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1908)\/(-189) - (-2)\/(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 3*o**2 - 10*o + 24. Let c = 119 + -82. What is the remainder when c is divided by x(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 + 0. Let s be (-2)\/4 - h\/4. Let z be -2 + 6 + -6 - -29. What is the highest common factor of z and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -2. Let c = -31 - m. Let y be (-1960014)\/c + 2\/(-7). What is y rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3631 = 168*q - 9511. Solve -2*m + q = 5*g, 3*g + 5*m = 6*m + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3*m + 30 = 1, -5*n - 67 = -2*m. Which is the smallest value? (a) 1\/5 (b) -0.2 (c) 13 (d) -1 (e) n\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -3, 12171, -1, 209.\nAnswer: -5, -3, -1, 2, 209, 12171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27 - 23. Let o(q) = 1. Let l(z) = -2*z + 4. Calculate w*o(u) - l(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3440 and 18602144?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 4. Let i be w(0). Let o = -3 - -13. Suppose i*n = -5*t + 11, -t = t + o. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.717069 to 0 dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-14))\/((-97)\/679). Let c(x) = -7*x**3 + 13*x**2 + 11*x - 9. Let r(g) = -3*g**3 + 6*g**2 + 5*g - 4. Give s*c(h) - 13*r(h).\nAnswer: -3*h**3 + h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1124225 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10122*x + 4518 = 9620*x for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 100121213310320?\nAnswer: -100121213310322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23.9 + -20.9. Let w = 1.5 - 2. Let p = w + 1. Which is the third biggest value? (a) p (b) 0.1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -181\/294 - -22\/49. Which is the nearest to -1\/2? (a) 0.1 (b) -6.57 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of 97*l**4\/24 - 2*l**3 - 18*l**2. Let g be v(4). What is the tens digit of g\/11 + 2\/(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 9307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (38 - 2) + (-10)\/(-5). Let m = h + -38. Let g = -158\/5 - -31. Which is the nearest to 0? (a) m (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, d: 1, f: 1, j: 7, k: 2, e: 2}. Give prob of sequence efkd.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 3167?\nAnswer: -3166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20012022010 (base 3) to base 10.\nAnswer: -121962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5768 is divided by 801.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 681 (b) -0.5 (c) -5 (d) 21.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*k = 3*z - 29*k + 31, -4*z = 5*k for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j + 2*j - 6*j)*(2*j**4 + 2*j**4 - 2*j**4) - 2*j**5 + 2*j**5 + j**5 + 16*j**2 - 7*j**2 + 4*j**5 - 10*j**2 + 4*j**4 - 4*j**4 - 2*j**5.\nAnswer: j**5 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74*w - 3*w**3 - 74*w + 3)*(w + 4*w - 4*w).\nAnswer: -3*w**4 + 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-363)\/(-12))\/(6\/(-296)). Let x = q + 44437\/30. What is the common denominator of -43 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -314 in -2, 2.1, -5\/4, -0.3, 0.09?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c, 1 r, and 1 p when four letters picked without replacement from {y: 1, p: 1, c: 2, r: 2, h: 1, d: 11}.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*h - 4 = -245*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 1484*z - 1488.\nAnswer: 4*(z - 1)*(z + 372)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161598330 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -5466 bigger than -5331?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -296?\nAnswer: -7\/296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m**3 - 1 - 5*m**3 + 16*m**3 + 2.\nAnswer: 8*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 224504154.\nAnswer: 2, 3, 7, 1781779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**4\/6 - 5*a + 2. Let z(b) = 22*b**2 - 2*b. Determine z(g(f)).\nAnswer: 88*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233 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: Simplify (sqrt(7) + (sqrt(63))**2)*-4 + (sqrt(7)*-2*2 - sqrt(7)).\nAnswer: -252 - 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 6*n - 3 = 0. Let w = n - 1. Suppose w*z - 288 + 58 = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**0)**(3\/47))**(3\/26)*h**2\/(h**5*h)*(h\/h**(-5)*h)\/h**7 assuming h is positive.\nAnswer: h**(-2435\/611)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -2. Let k(p) = -638*p - 633. Let i be k(-1). Sort a, i, 4 in decreasing order.\nAnswer: i, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**3 - 2*u**3 - u**3 + (4*u**2 - 2*u**2 - 3*u**2)*(0*u - 4*u + 5*u) + 5561*u**3 - 617*u**3 - 702*u**3 - u**3 + 5*u**3 - u**3.\nAnswer: 4245*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 111 - 102111212010022?\nAnswer: -102111212002211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(2 + ((sqrt(1053) - (sqrt(1053) - (2 + sqrt(1053) + sqrt(1053) - sqrt(1053)))) + 0)*4) + 5)**2.\nAnswer: -340085 - 18000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44568893 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17.7528*-23.6.\nAnswer: 418.96608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 508, 1019, 1702, 2557, 3584?\nAnswer: 4783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 4*l + 36. Let c be r(-6). Let j = 123 - c. Solve -6*v + 9*v = j for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/((-270)\/48) + (-8)\/(-6). Determine i, given that -28*i + 48 + 5*i**2 - 4*i**2 + 7*i**2 - x*i**2 = 0.\nAnswer: 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16\/4 - 1 - -1 and 9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3824?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -75 + 12 + 7 + 7 + -24 - 3.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 24. Let o be (-2)\/j + (-12453)\/63. Round o to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6\/5*h**5 + 24\/5*h**3 + 0*h + 0*h**2 + 0 + 74\/5*h**4 = 0.\nAnswer: -12, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -38.214 to 1 dp.\nAnswer: -38.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/399)\/((-144)\/252).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:11 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3208*u - 16043. Give h(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert b3 (base 13) to base 4.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -183488 in ascending order.\nAnswer: -183488, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -35*y - 178. Let g be u(-5). What is the closest to 0.1 in 0.4, -5, 6, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51988 and 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11418632 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-54 - 59) - (-21 + 24)?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 109*k**4 + 16804*k**3 + k + 129399010 wrt k.\nAnswer: 436*k**3 + 50412*k**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-6080)\/(-912)*(-234)\/24*-6*83?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6282 and 3636.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -54723*q - 108. Let r be l(4). What is r rounded to the nearest 10000?\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-268)\/(-18) + 3 + -3 - 18.\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13*w**2. Let s be (2 - 0\/(-3))*2. Let z(i) = 0*i + s*i - 5*i. Determine x(z(b)).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -41*n + 3. Let b(v) = 14*v - 1. Let i(m) = -8*b(m) - 3*f(m). Let o be i(1). What are the prime factors of ((-96)\/(-20))\/(3\/o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kko when three letters picked without replacement from obakbbbakoabaka?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41 - 248. Let y = 259 + l. What is the closest to y in -2, -4, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/14 + (-68772)\/(-189644)?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21297425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4 = o, -o + v - 3*v = -10. Suppose 3*p = -g - 0*g + 7, 4*g - o = -p. Factor -f - 1\/4*f**4 + 1\/2*f**3 - 1 + 3\/4*f**p.\nAnswer: -(f - 2)**2*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 - 7*t**2 + 0*t + 0*t + 2*t**2.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -395*g + 1. Let o(k) = -2*k**2. Calculate o(a(m)).\nAnswer: -312050*m**2 + 1580*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - n**3 + n**3)*(1 + 0 - 4)*(2 - 4 + 0).\nAnswer: 12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61431659?\nAnswer: 17, 113, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.09 + -1.09. Let v = -3.5 + 3. Put o, 0.2, v in decreasing order.\nAnswer: 0.2, v, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 36.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95*h**4 + 645 - 645 + 41*h**2 wrt h?\nAnswer: -2280*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 3*v, 5*o + 21 = 2*o + v - 4*v for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73219 is divided by 4881.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2298\/1015 + -64\/29. Let j be (-16)\/40 - (-3)\/5. Let u = j - s. What is the second smallest value in u, 5, -2\/11?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425885586 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 4*o = -3*o, -4*o = o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -261\/26 - -653\/78. Which is the nearest to -9\/2? (a) -0.3 (b) 0.5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4 - 4)*(-1 + 2 + 0)*(-3 + s + 3 + (1 + 0 - 3)*(0*s + 3*s - 4*s) - 11*s - 3*s - 7*s - 2*s - 1 + 1).\nAnswer: -20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*y**3 - 12930*y**2 + 25959*y - 12996 = 0. Calculate y.\nAnswer: -4332\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4812 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 3*n - 2. Let u be d(-6). Suppose -2*y = -t + u, 0*y + 41 = 3*t + y. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3093619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 12*g**2 - 3*g + 2. Suppose -3*k - 5 = -y + 50, y - 47 = k. Let j = -42 + y. What is the units digit of v(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4, -10, -18, -28, -40, -54, -70?\n\"Answer: -a**2 - 3*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -17*h - 9*h + 43. Solve h = 65*b - 126 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**2 + 775*o - 5670.\nAnswer: 5*(o - 7)*(o + 162)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 196731.4 millennia?\nAnswer: 19673140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 15*u - 4. Let t be z(6). Suppose 5*l + 3*s - t = 144, s = -2*l + 91. What is l rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Suppose -5 = 2*x + 7. Let b(u) = -u**2 + 61526*u**3 - 30778*u**3 - 7 - 30740*u**3 - 6*u. Let v(g) = -g**3 + g + 1. Give l*b(q) + x*v(q).\nAnswer: -2*q**3 + q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = 92. Let m(a) = a**3 + 14*a**2 + 22*a - 22. Let p be m(-12). Suppose 52 = -p*v - 2*k, 126 = 3*v - 8*v - 3*k. Is v at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 363858 is divided by 3007.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 p when two letters picked without replacement from {u: 3, l: 1, p: 2, j: 4}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -1\/300*z**6 + 1\/150*z**5 + 0*z + 0 + 1\/60*z**4 - z**2 - 1\/15*z**3. Factor d(w).\nAnswer: -2*(w - 1)**2*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -2\/55, -5, -3, 2?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 6*u. Suppose -2*z + 44 = -u*z. Does 14 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddp when three letters picked without replacement from ddyyhkhkpkpzdk?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of 1\/80*u**5 + 9\/8*u**3 + 27\/8*u**2 - 34*u + 0 + 3\/16*u**4. Factor y(x).\nAnswer: (x + 3)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -894*s - 877. Determine p(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319731*q + 159990*q + 160334*q.\nAnswer: 593*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -470 - -753. Let i = y - 172. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36, -32, -32, -36, -44, -56?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 57 = 21. Suppose -4*n - 493 + 2105 = 0. Let c = n + -393. Calculate the remainder when f is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4022\/1005 - -13\/201. Calculate the common denominator of -28\/33 and g.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -143*b**2 + 2*b - 6. Let q(u) = -3860*u**2 + 55*u - 165. Let p(m) = -110*f(m) + 4*q(m). Let o(s) = -s. Give p(o(l)).\nAnswer: 290*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-14) + 78\/21. Let r(a) = -a**2 + 0 + 0 + 2*a**2. Let i be r(g). Solve -w = 3*w - i for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292552800 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1130023301 (base 4) in base 8?\nAnswer: -1341361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuoyooxuuxx. What is prob of sequence xy?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-2)\/1 - 0). Let b = 5 + -3. Suppose -z - b = -s + 3*s, 2*z + 3*s = -1. Put -4, f, z in decreasing order.\nAnswer: z, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -31934259.2 to the nearest 1000.\nAnswer: -31934000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s = -5. Let p be (6\/56*4)\/s. Let j be (-140)\/165 + (-2)\/(-11). What is the nearest to 1 in j, 2, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2388.59 years to months.\nAnswer: 28663.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -0.07 (c) 0.11 (d) 2\/11 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 25*c - 1300. Let a be m(52). Find r such that -2\/19*r**4 + 8\/19*r**3 + a*r - 8\/19*r**2 + 0 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 3*s**2 + 13*s + 18. Let v be b(-5). What is the second derivative of 66*d - 2 + 47*d**v + 68*d - 148*d wrt d?\nAnswer: 282*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8505, -16457, -24417, -32385, -40361, -48345, -56337?\nAnswer: -64337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11021020222 (base 3) to base 2\nAnswer: 10100100000110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -3, 8 in ascending order.\nAnswer: -3, -1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -4\/53?\nAnswer: -4\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5120162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cppccjcpc. What is prob of picking 1 j and 3 p?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 79*k - 40*k - 29*k = 35, 5*n - 5*k - 175 = 0 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 28 = -32. Let q be (-21)\/28*16\/h. Which is the smallest value? (a) -0.4 (b) -1 (c) -4 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 23 = -25. Is 17 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41798 less than or equal to -42120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 116. Let q(n) = 15*n**3 - 3*n**2 + 3*n - 1. Calculate the remainder when q(w) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 245910 to the nearest ten thousand.\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 4 + 4)*(-215 + 213 - 149) + 0*n + 0*n - n + (-3*n + 3*n - n)*(-2 + 4 + 0) - 6*n + n + 3*n.\nAnswer: -156*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108.1 - 17.4807724686.\nAnswer: -125.5807724686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/1 + 45 + 6. Solve g**3 - b*g**5 + 2*g**2 + 2*g**3 - 10*g**4 - g**3 + 54*g**5 = 0 for g.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 620807 - 41?\nAnswer: 620766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + c + 8*c. Let d(m) be the third derivative of m**2 + 1\/8*m**4 + 0*m**3 + 0 - 3\/20*m**5 - 1\/10*m**6 + c*m. Factor d(u).\nAnswer: -3*u*(u + 1)*(4*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)\/(sqrt(7)*2) - (-5 + sqrt(117) + sqrt(13) + sqrt(13)))**2 - ((sqrt(52)\/sqrt(4))**2*3 + 0).\nAnswer: -45*sqrt(13) + 997\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 41979936 and 1809480.\nAnswer: 209899680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 139 (c) -0.3 (d) 1 (e) 15 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (19 + (1 - 9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 + -8 - 19) + (-262)\/(-38).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 4:16 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 334*x + 2374. Give r(-7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1002\/37 + 60157\/2220. Let z(l) be the third derivative of 4\/15*l**5 + 0*l + 0 - 7\/12*l**4 - q*l**6 - 13*l**2 + 0*l**3. Let z(w) = 0. Calculate w.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297 is divided by 295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 56358 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/(-144))\/((-8)\/(-120)) - (-2)\/12. Sort m, -4, 5 in ascending order.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04 and 15.04.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*t - 320 = -339*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54a8 (base 15) to base 16.\nAnswer: 460d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**6\/24 + a**4\/24 + a**3\/6 - 11*a**2. Let t be c(-1). Is 0 + 131 + 10\/t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, -6, -10, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88378 (base 10) in base 11?\nAnswer: -60444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 47401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/976 and -23\/53073616?\nAnswer: 3237490576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203112 and 29270696.\nAnswer: 263436264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 84955047 greater than or equal to 84955046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4 - 4 - 32*g**2 + 3*g - 4*g. Let w(r) be the first derivative of r**2\/2 - 2266. Determine o(w(b)).\nAnswer: -32*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(3\/(-7)*7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 12:36 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57696 and 1280?\nAnswer: 2307840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/6)\/((-5)\/(-15)). Suppose 176 = y*m - 284. Suppose -3*i + m = -62. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2139524 times -0.2?\nAnswer: -427904.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 653?\nAnswer: -652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbqbxbusqbxbq. What is prob of picking 1 q and 2 x?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -4 - (19 + -7 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/60 + 3*f**4\/2 - 77*f**3\/6 - 150*f**2 + 8*f. Give j(-38).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a = -6*a - 4*h + 7, -2*a + 3*h - 6 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1202)\/(-18) + (-10)\/(-45) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1022010202 (base 3) to base 13\nAnswer: b876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(2\/21)*p)*p*p\/(((p*p**(1\/3))\/p)\/p))**(9\/8) assuming p is positive.\nAnswer: p**(99\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20120320 - -14?\nAnswer: 20120334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -1 (b) 3 (c) -4 (d) 33\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 334? (a) -4 (b) -9\/34 (c) 2 (d) -0.5 (e) -3\/2 (f) -10.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 184 = -2*n, -2*l + 28 = -0*n - 2*n - 70 for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/80 + 3\/(-10)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 6, 34*b + n = 30*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 5) + ((-144)\/63 - -9).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/21 and -1\/5080203?\nAnswer: 35561421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*f**3 - 2 + 2*f**3 + 2*f + 105*f**2 + 1 + 2 + 4*f**3 to the form u*f**2 + q*f**3 + n*f + o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7999984 + -0.8. Round j to 7 dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 2 + 0*t + 7\/6*t**3 - 7\/20*t**5 - 7\/24*t**4 + 45*t**2. Let u(y) = 10*y**2 + 3*y - 3. Give 3*f(d) + 7*u(d).\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 + 26*a + 2. Let h(n) = -9*n - 1139 + 6*n + 2277 - 24*n - 1139 + 3*n**2. What is 3*h(g) + 2*v(g)?\nAnswer: g**2 - 29*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 58*z**2 - 55*z - 128. Let m be o(-2). What is the highest common divisor of m and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -22*l**3 - 378*l**2 - 74*l - 97. What is k(-17)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 2:21 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2324)\/(-83) - (2 + 2166\/84)\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000746 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of b**9\/3024 + b**7\/630 + b**4\/24 - b**2. Let n(f) be the second derivative of l(f). Find the third derivative of n(x) wrt x.\nAnswer: 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 65 = 91. Let d = v + -11. Is d a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340644 is divided by 1852.\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1524766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 60. What is the closest to -1\/6 in -1, 0.2, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1462815*c**2 - 1462814*c**2 + 2925622*c**2.\nAnswer: -7*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134.8 + 135. Let l = -13 - -10. What is the closest to -2 in i, l, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12110 or 36332\/3?\nAnswer: 36332\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1856*f**2 - 53801*f + 606. Determine i(-29).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1312 times -4\nAnswer: 5248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*u - 195 = -35. Solve u*s - 3 = -8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 5. Let j(n) = -w - 2*n + 3. Let z(o) = -o**2 - o**2 + o**2. Calculate z(j(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.91684 kilometers in millimeters?\nAnswer: 13916840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 5*h**2 - 3*h + 3. Let k(c) = 2*c**3 - 10*c**2 + 7*c - 7. Let i(q) = -7*b(q) - 3*k(q). What is the third derivative of i(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-4)\/(-16))\/((-6)\/4)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161*a**3\/6 + 55*a**2\/2 + 4*a\/3 - 2 = 0 for a.\nAnswer: -6\/23, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -202, -191, -184, -181, -182, -187, -196?\n\"Answer: -2*k**2 + 17*k - 217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + -2 - (-993)\/38. Let q = -12\/19 + y. Let d = -28368\/11 + 2581. Find the common denominator of q and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - k - 6*k**2 - 5*k - 3 + 2*k. Let u(t) = 17*t**2 + 19*t + 8. Let d(p) = -3*u(p) - 8*y(p). Factor d(f).\nAnswer: -3*f*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -15*g**2 - 11*g**2 + 37*g**2 - 6*g**2. Let i(v) = -14*v. Give r(i(h)).\nAnswer: 980*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38 - (10 - (32 - 85))\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a + 2. What is the remainder when x(11) is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -3*v - 9. Let q be p(-9). Let a = -19 + 28. What is the highest common divisor of a and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2689952897 to the power of 1\/3, to the nearest integer?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-9) - (-4)\/(-18). Suppose -3*h + 3 = v, 29 = 5*r + 5*h - h. Suppose -r*o + 5*s + 9 = -6, -3*o + 9 = 5*s. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.10152588 + -80?\nAnswer: -78.89847412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 19588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9747058, 19494122, 29241186, 38988250, 48735314?\nAnswer: 58482378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 15 = 0, -344 = -4*h + 3*o + o. Suppose -2*s + h = s. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in -1\/2, 1, 0, -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4. Let o = -3\/80 + 113\/880. Is o equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 46430 in -4\/5, -1\/8, 3\/10, -4\/9?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**4\/5 + 1856*z**3 + 10755516*z**2\/5 - 4307776*z + 10774082\/5 = 0?\nAnswer: -2321, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 37*o**4 + 3570*o**3 + 2*o**2 + 1185538 wrt o?\nAnswer: 148*o**3 + 10710*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4175541*s**2 + 8351115*s + 66 = 0.\nAnswer: -2, -11\/1391847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -26 + 0 + 23 + 3587 + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-729)\/10 + ((-20)\/(-160))\/((-30)\/24)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 51*x**2 - 55*x + 160. Determine g(52).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -3\/8 (b) -0.03 (c) -1\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63379.7 - -63350.6999. Let u = -29 - o. What is u rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 18*b**2 - 20*b + 20. Let g be s(19). Solve 2*v + 5*d - g = -0, -3*d = 5*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 23.9. Let i = 0.1 + f. Let y = -1229 - -1240. Which is the nearest to i? (a) 2\/3 (b) 1\/7 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-45)*(-45)\/205*(-3)\/(-18).\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 182290825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 7306\/3 (b) -0.37 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, n: 2, u: 4, r: 1, d: 1}. What is prob of picking 3 u and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 30 = 3*c. Let n be (-1 + -4)*18\/(-2). Suppose 3*t - n = 33. What is the remainder when t is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (403 + -362 - (8 + 2 - 2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(68) + 0 + 2 + (sqrt(68)*-2 - sqrt(68)) + 3*((sqrt(68) + 1 - sqrt(68)) + sqrt(68) - sqrt(68)) + -4*(sqrt(68) + 1 + sqrt(68)) + 5)**2*1.\nAnswer: -280*sqrt(17) + 6849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that k**5\/3 - 517*k**4 + 70153*k**3 - 7487245*k**2\/3 = 0.\nAnswer: 0, 73, 1405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2594*i = -2*u + 5147*i - 2600*i - 179, u + 53 = -u - 5*i for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5))**(-1\/7)\/(p*p\/p**3*p)**(1\/16) assuming p is positive.\nAnswer: p**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269495 is divided by 662?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of a**7\/63 - a**5\/30 + 2*a + 1. Let w(d) be the first derivative of f(d). What is l in w(l) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - q**2 + 2*q + 1. Let n(h) = 539*h - 18055*h - 1296*h - 338*h**2 - 351230. Let c(o) = -2*g(o) + n(o). Find v such that c(v) = 0.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 56\/(-20) - -1 - 3162\/(-2040). Which is the closest to 3? (a) -1 (b) p (c) -26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 26*m + 172. Suppose 7*u - 3*u = 28. What is the remainder when r(5) is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -255.2 + 289. Let h = v + -34. Which is the fourth biggest value? (a) 2 (b) h (c) 0.3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 4:28 PM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.121 times -0.0049?\nAnswer: 0.0887929","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 208358916?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3518261?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 510?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7119*f + 2669616. Calculate j(-375).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 887608684 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.882 + -0.152. Let w = -0.01 + m. Let p = w - 3.72. Which is bigger: p or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 > 20610569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1240*w**3 + 223453 - 223105 - 1267*w**3 with respect to w.\nAnswer: -7521*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25554 (base 6) to base 10\nAnswer: 3886","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-329)\/(-42) + -13 + -5 + 10\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -46 - -50. Suppose -n + 4 = -r. Put -49, r, -5 in descending order.\nAnswer: r, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 20. What is the tens digit of f(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17053 and -81?\nAnswer: 16972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/6 and (1\/21)\/(2\/177).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14656214 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 0)*2\/4*-8. Solve m = 2*c + 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376 + 99*y**2 + 376.\nAnswer: 99*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -2\/17, -8, 5, -39?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*n + 162*n - 329*n - 3*n**2 - 147*n**3.\nAnswer: -147*n**3 - 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -0.73 (c) 0.3 (d) 0.05 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 2.5. Let f = -31 + 23.8. Let i = 7 + f. Put i, y, 5 in increasing order.\nAnswer: i, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**3 - 4*h**2 - 81*h - 531. Let u be b(-6). Is u < -1.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 26*p**2 - 6*p + 77. Let m be f(26). Let j = m + 82. Solve 5*b - j*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -15*o**3 - o**2 - 2*o - 1. Let d = -1 + 0. Let l be v(d). Calculate the greatest common divisor of l and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/8 and 41\/3216.\nAnswer: 3216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 2*k, 2*o + 4*k = o - 5. Let z be ((-5)\/(-10))\/(o\/(-6)). Solve z*p + 4 + 2 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spqpqppqqp. What is prob of picking 1 q and 1 s?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -49376 (base 11) to base 5\nAnswer: -4232424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 54*w - 37*w - 34. Let q(d) = 5*d - 1. Let f(x) = x. What is w*f(v) + q(v)?\nAnswer: 7*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 87*u - 47 - 25*u - 23*u - 30*u.\nAnswer: -u - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 3*u + 28, -25*u + 28*u + 11*p + 181 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 42243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.27663l in millilitres?\nAnswer: 55276.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v. Let z(c) = -4*c + 3. Calculate z(u(h)).\nAnswer: 12*h + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/300 and -113\/6500.\nAnswer: 19500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 1907*z**2 - 57*z - 221. Is o(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(1700) + 1) + sqrt(1700) + sqrt(1700))*6 - (-1 + -2 + (sqrt(1700) + 0 - sqrt(1700))))**2.\nAnswer: 27720*sqrt(17) + 2999889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t - 2. Let i be o(9). Suppose 3 = -2*x + i. Solve 1 - x = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 192558127 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 4*p + 28, -m - 6 = p - 2*m. Let i be -1*(1 + p)*-4. Let h = i + 7. Solve 2*u + 3*v + 9 = 28, -h*v + 24 = 3*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 1110 = 8*h. Calculate the remainder when h is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 1, q: 4, a: 1, w: 1}. What is prob of sequence wvq?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/4 + 377\/174)*(-1 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + (-8 - -14) - 17 - (-5 + -2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7081 + -6952. Calculate the remainder when 557 is divided by s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/13 + 8*s**3\/13 - 114*s**2\/13 - 144*s\/13 + 648\/13 = 0. What is s?\nAnswer: -9, -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 261108 and 1692?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, j: 9, s: 10}. What is prob of sequence sjss?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -8*s - 1. Suppose -3*l + 6459 = -165. Let v(d) = -2208 + l - d. Give v(f(b)).\nAnswer: 8*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 37*d**2 - 7*d - 21. Let t(j) = 13*j**2 - 3*j - 7. Let y(b) = 6*n(b) - 17*t(b). Let m = 16 + -9. What is the remainder when y(m) is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-960)\/(-54) + 4\/18. Let f be 5\/2*t\/30*4. Suppose 9*h = f*h + 174. Is 34 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/2)\/((-2)\/(-136)). Let i = 10478\/5 - 42597\/20. Let s = d + i. Find the common denominator of s and -93\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3798733.56 to the nearest 10000.\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*q - 0*q - 258, -2*z + 472 = -5*q. Let a = z + -228. Put -2, a, -3 in decreasing order.\nAnswer: a, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -4 + 1 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 147 - 26. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 5 + 1 - 1 + 2 - 9*u. Let b(c) = -c**3 - 13*c**2 + 13*c - 18. Let f be b(-14). What are the prime factors of p(f)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81 + -46. Suppose j - 12 = 7. Let d = s - j. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -13*s**2 + 496*s + 66. Give n(37).\nAnswer: 621","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4254 + -1014. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 21*p - 6. Let h be i(1). Solve m + h = -2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1179333594 a multiple of 1923?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2701555 divided by -629?\nAnswer: 4295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from gfgggggggfgg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5307133 to the power of 1\/3, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -17, 31, 119, 253, 439, 683, 991?\n\"Answer: u**3 + 14*u**2 - u - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -222655 divided by -44531\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194700452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, 2\/11, 749, 8.93, 6?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 22*o**2 - 3*o + 45. Let t be f(22). Let s = 23 - t. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j - 40 = -16*j. Let t be 35 - -6*5\/j. Calculate the highest common divisor of 19 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 0.3 (c) 1\/4 (d) 5 (e) 1\/6 (f) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2 - 5)*(-4 - 6 - 10)*(5 - 3 - 1)*(1 - 2*c - 1) as a + f*c and give f.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -1. Let z(i) = -2*i - 127. Let w(u) = u + 70. Let s(l) = 11*w(l) + 6*z(l). Determine -21*n(q) - 3*s(q).\nAnswer: 3*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107900 divided by -650.\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4352136, -4352139, -4352142, -4352145, -4352148, -4352151?\n\"Answer: -3*t - 4352133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -301 (base 5) to base 10\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -45*k - 50. Let i be z(-20). Suppose 8 = -4*s, -x + 8*s = 4*s - i. Does 48 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2474197, -4948424, -7422659, -9896908, -12371177, -14845472?\nAnswer: -17319799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ugu when three letters picked without replacement from {g: 5, u: 3}.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:58 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, -0.3, 0, 15026, -4 in increasing order.\nAnswer: -4, -3\/2, -0.3, 0, 15026","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + 2*c**2 + 2*c)*(-1 + 0 + 3) + 205*c + 48*c**2 + 1 - 205*c.\nAnswer: 52*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1882*t - 34956 = -4795*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 30 + 10 = 0, 0 = -5*h - 2*d for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -5. Suppose -5*d - 1 = 4. Let s(p) = 4*p**2 + p + 1. Let c be s(d). Solve -j*h - 14 = -c*y, h - 4 = 5*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -43186 - 1171?\nAnswer: -44337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44331926?\nAnswer: 2, 22165963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -150824 rounded to the nearest 1000?\nAnswer: -151000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1782) - (sqrt(1782) - (sqrt(1782)*2 - sqrt(1782)) - sqrt(1782) - sqrt(1782)))\/sqrt(11) - -2*4*(sqrt(2) + -1)) + -1.\nAnswer: -12 + 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*f**4 + 243*f**2*t**3 - 6*t**3 + 16*t**2 wrt f.\nAnswer: 20*f**3 + 486*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 7*m - 149. Let y be h(24). Let k = -47 - -48. Suppose -16 = -5*j + 4. Solve y + k = -j*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 7, m: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(2) - sqrt(14)\/sqrt(7))*5 - sqrt(2))*4.\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -907151 = -3*n + 1276*m - 1275*m, -2*n + 4*m = -604774. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f. Let t(q) = q - 3*q**2 + q**2 - 2*q - q**2 + 2*q. Determine t(k(j)).\nAnswer: -12*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*m*q**3 - 23*m*q + q**3 + 4*q**2 wrt q?\nAnswer: -96*m + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 220 = 8*b + 220 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tve when three letters picked without replacement from ttettetvetett.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(1250)\/sqrt(10)) - sqrt(21)\/((sqrt(7) + sqrt(175))*2).\nAnswer: 7*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 11. Let t be u(-9). Let z be (-5)\/(-25) + 1056\/t. Let w = 180 - z. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9221359 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1784429167 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 k(s) = 10*s**3 - 11*s**2 - 2*s - 11. Let i = -2082 - -2084. Let z(t) = t**3 - t**2 - 1. Determine i*k(d) - 22*z(d).\nAnswer: -2*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g. Suppose -u - p + 52 = -5*p, 47 = u - 3*p. Suppose 58 + u = 3*q. Let y(t) = 19*t + 20*t - q*t. Give y(h(w)).\nAnswer: -18*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:13 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -2 + 0*m + m**4 + 32*m**2 - 32\/3*m**3. Factor k(o).\nAnswer: 4*o*(o - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of v**6\/180 - 31*v**5\/30 + 961*v**4\/12 - 29791*v**3\/9 + 5*v**2 - 1. Factor g(p).\nAnswer: 2*(p - 31)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -46*c**2 + 276*c. Let d(q) = -q. Suppose -l + 42*r - 43*r - 272 = 0, 2*r = 8. Let p(w) = l*d(w) - a(w). Let x(j) = 2*j. Calculate x(p(y)).\nAnswer: 92*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*a = -302 + 974 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**3 - 65305*c**2 - 326504*c - 261200 = 0.\nAnswer: -65300, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j + 10*w = -20*j - 60, 2*j = -7*w - 21 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 7. Let s be ((-128)\/24)\/((-4)\/6). Calculate the remainder when q(s) is divided by 6\/(-4)*20\/(-15) - -13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -713 - -712.6. Is x greater than or equal to -1073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from fzhbz?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -319579 + 2281402. Let o = j + -1961824.4999928. Let m = 1.5 + o. Round m to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 720663 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 53968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -36 - 71 + 5*c + 90 - 7. Let x(n) = -4*n + 24. Give -3*o(z) - 4*x(z).\nAnswer: z - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(((-1)\/4)\/((-11)\/44)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123 - 6*h**2 - 123.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 295*p**2 + 17*p - 11. List the prime factors of w(3).\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(68) - (1 + -1 + sqrt(68))**2 - (3 + sqrt(68) + 1)**2).\nAnswer: -154 - 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3 - l - l + 1. Suppose -5*h = -3*o + 8, -3*h = o - 13 + 1. Suppose -o*z + 10*z = -20. What is r(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -13*f**2 - 2*f + 5. Let j(w) = 37*w**2 + 6*w - 15. Let g(b) = 6*j(b) + 17*n(b). Let c(y) = y**2 + 2*y - 4. Determine 3*c(q) - 2*g(q).\nAnswer: q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -5, 7, 9 in increasing order.\nAnswer: -5, -3, 3, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.892 + 110.008. Let o = g + -75. What is o rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = g - 4. Which is the third smallest value? (a) g (b) -4 (c) -0.5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14b4 (base 12) in base 9?\nAnswer: 3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + 2*t - t + (-5*t - t + 5*t)*(-6 + 2 + 3) + 2*t + 2 - 2 + t - t + 2*t + (-3 + 4 - 4)*(-2*t + 0*t - t).\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i + 3, 4*r + 4*i - 44 = 0. What is the highest common factor of r and 276?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138566357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43*b**5 + 43043*b**4 + 3*b**3 - 8327181*b + 2 wrt b?\nAnswer: -860*b**3 + 516516*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*d - 572 = -122*d + 1183 for d.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 12138210, 24276421, 36414632, 48552843, 60691054?\n\"Answer: 12138211*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/23750 and 131\/6150.\nAnswer: 2921250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 11*t - 18. Let v be k(-9). Suppose 4*q + 38 = 2*r, -3*q + 4*q + r + 8 = 0. Let h be (2 - 1)*(-4 - q). Solve v*y = -h*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 21, -0.15662, -1.03 in decreasing order.\nAnswer: 21, -0.15662, -1.03, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -26. Let v be 3\/6 - 3\/u. Solve -y = -v - 4 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 PM and 4:33 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -28 - 37*a + 67*a - 19*a - a**2 = 0.\nAnswer: 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1214 is divided by 1206.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 571*m + 772*m - 6 + 4 + 3 as w + v*m and give v.\nAnswer: 1343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5241461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 - 5*u + 4. Let f be r(9). Suppose 18*p + f = -1220. Let n = -88 - p. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3 - -6) + -7)*(-9294)\/24. Suppose j + 5*g = a, -4*j - 27*g + 6196 = -24*g. Is j 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 -33523, -36072, -38633, -41212, -43815, -46448, -49117, -51828?\nAnswer: -54587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*s - 515 = 0, 5*o + 3*s + 809 = -s. Let n be o\/10*(-34)\/3. Suppose 1684*h + 425 = 1709*h. Calculate the greatest common factor of h and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 8*q - 6. Let x = 20 + 0. Let v = x + -8. What is the units digit of b(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -p**4\/12 - p**3 - p**2\/2 + 998*p. Let i be (-26)\/4 - 1\/(-2). What is l(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 32. Suppose j + p = 4*j. Suppose 1 = -j*h + r + 16, 10 = 2*h - 3*r. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16222 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -22214314 (base 5) in base 16?\nAnswer: -2f98f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -684\/23 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wddddiddwidi. Give prob of sequence idii.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -9. Let b(n) be the second derivative of n**4\/6 + n**3\/3 - n**2 - 3*n. Let v be b(-2). Sort j, -3, v in increasing order.\nAnswer: -3, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as 1224\/4483?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 511904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -619 (base 10) to base 15.\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 24 = -4*s, 8*p - 3*s - 22 = 4*p. Is (4\/p)\/((-2)\/(-22)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.54 or 950?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 12:20 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.03 - -2.53. Let k(h) = 14*h + 5. Let d be k(5). Let q be (-1)\/(-2)*12\/d. Which is the biggest value? (a) q (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45 - 76. Let c(z) = 3*z**2 - 2*z - 1. Let d be c(-1). Let t = d - g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25619 + -922363\/36. Calculate the common denominator of -29\/12 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**6*q)**(-37)*(q**(-5))**(2\/37) assuming q is positive.\nAnswer: q**(-10962\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (-6 - -5) - -9. Suppose j*z - 402 = -l, -z = -4*z + 3*l + 234. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15187*y - 30505*y + 15226*y.\nAnswer: -92*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-4)*(z*z\/z**(-1\/4))\/z*z*z**(-3\/5)*z*z**(-1\/2) assuming z is positive.\nAnswer: z**(-37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 3 - 2)*(4 - 4 + u**2) + 3*u**2 + 2*u**2 - 3*u**2 - u**2 - 8 + 8)*(0*u - 73*u + 35*u) in the form q*u**2 + t*u + n*u**3 + p and give n.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 - 0.1. Suppose 0 = -5*n - 204 + 14. Let h = n - -39. What is the closest to h in z, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - k + 2 - 1)*(k**2 + 0*k**2 - 5*k**2 + (3*k + 2*k - 3*k)*(4*k - 16*k - 12*k)).\nAnswer: 52*k**3 - 104*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (6 + -1) - (39 + -54)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 395.45 - 2.45. Let l = 392.9999602 - i. What is l rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 23200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2629150898?\nAnswer: 2, 11, 10321, 11579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 824, 22, 9 in descending order.\nAnswer: 824, 22, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/252 and -61\/40698.\nAnswer: 81396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3227a2 (base 14) to base 8\nAnswer: 6363032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 408 divide 3593256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 3*g + 2 = 4*k, 8 = 4*k. Suppose -16*b - 16 = -18*b. Solve g*p - 3*f - 3 = 0, 3*p - 4*f + b*f + 25 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -15 - 37 - -30\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23694?\nAnswer: 2, 3, 11, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1275814 millilitres in litres?\nAnswer: 0.0001275814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2314243 (base 5) to base 12\nAnswer: -20253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**2 + 11*x**4 - 4 + 2*x + 3 + 39*x**4 + 19*x**4 - 7*x**4 as i*x**4 + o*x + u + m*x**2 + q*x**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*h = -6, -2*h + 8 = -x + 1. Suppose x*n + 33 = 6*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2219*q + 1080*q + 1142*q. Let g(n) = 43*n + 3. Determine r(g(o)).\nAnswer: 129*o + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -11. Suppose s - 17 = -a. Suppose 4*c + 5*m = -2 + s, -5*c = -5*m - 45. Solve -2 = 2*i - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2240 (base 5) to base 10.\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 43343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.31, -43, 2\/19 in decreasing order.\nAnswer: 0.31, 2\/19, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/(-45) + (-4)\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-20))\/((-116)\/1160)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.48 - 0.58. What is the nearest to -1 in -0.3, d, 2\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3765229877?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(30) - -5*(1*sqrt(30) - sqrt(30)))\/(sqrt(120)\/sqrt(108))*-2*-3)**2.\nAnswer: 24300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m = 11*n + 55, -5*n + 9*n - 8*n = 10*m - 7*m + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -719*f**5\/5 + 6*f**2 + 23*f - 579. What is the second derivative of x(k) wrt k?\nAnswer: -8628*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -22*m + 8. Let x be p(-1). Solve -x*g**2 - 7 - 126*g**2 + 148*g + 9 + 6 = 0 for g.\nAnswer: -2\/39, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 - -113. Suppose 1797 = 3*f - 2*g, 0 = -9*f + p*f - 2*g + 1198. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:32 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 168817*a**3 - a**2 - 52*a - 11 wrt a.\nAnswer: 1012902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61689937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 514473 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of p**8\/6720 - p**7\/2520 + p**6\/720 - 7*p**5\/120 - p**4\/4 - p. Let z(t) be the third derivative of n(t). Determine z(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110000110001100 - -100100?\nAnswer: 10110000110110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence al when two letters picked without replacement from {a: 8, z: 3, t: 6, l: 2}.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00018538144 to six decimal places.\nAnswer: 0.000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (-1127)\/(-4 + 11). Suppose 2*q - y = -r + 354, 2*r - 2*q - 1066 = 0. Does 24 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 - 1025658 + 512844 + 512814.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1518 divided by 846.\nAnswer: -253\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 8992 - 7108. Suppose x - 626 = 6*v. Calculate the greatest common factor of v and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*d - 0*d, -15 = 4*o - d. Let a = o - -12. Solve -l - 3*l + q + a = 0, -15 = -3*q for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3156*x**3 + 2143*x**3 + 2009*x**3 - 258 + 1312 with respect to x.\nAnswer: 2988*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30941*v**2 + 10315*v**2 + 10316*v**2 - 1390*v + 10308*v**2.\nAnswer: -2*v**2 - 1390*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 1:15 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) -0.18 (c) 2\/11 (d) 0.13 (e) 0.0604 (f) -5 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 equal to 668\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/14 - (-26)\/4. Let j be 2\/6 + z\/(-3). What is the nearest to 2\/9 in -2\/7, j, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 101 = -4*v - 3*n, 0 = -3*v + n + 71. Suppose 0 = -7*d + v + 11. What is the second derivative of 25*b**5 + 19*b**5 + 12*b - 42*b**d wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4381*k + 2*q = -4376*k - 8031508, 2*q + 8 = 0. What is k rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -3*k + 2126*k**2 - 4237*k**2 + 2055*k**2. Let h(n) = 8*n. Give h(q(x)).\nAnswer: -448*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 4*x = -0*z - 23, 3*z = 4*x + 1. Suppose 0 = -k - z*k + 4. Suppose -k = u, -2*y + 5*u - u + 48 = 0. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1194 by -6.\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 576\nAnswer: -5\/576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of k**4\/6 + k. Let p(o) = -5*o. Give p(v(n)).\nAnswer: -10*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/2 - (-74)\/222*4*9?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of o**8\/50400 - o**7\/4200 + o**6\/900 + o**5\/30 - 2*o**2. Let m(x) be the third derivative of b(x). Factor m(l).\nAnswer: 2*(l - 2)*(l - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand q**2 - q**2 - q**2 + (1 + 1 - 1)*(0 + 1 + 2)*(-3*q + q**2 + 3*q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**7\/350 + 17*n**5\/50 - 12*n**4\/5 + 63*n**3\/10 + 213*n**2. Find p, given that u(p) = 0.\nAnswer: -7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*q = 17*q - 39 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k + 294 = 61*k. Calculate the remainder when 914 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-153)\/21 + (-4)\/(-14). Let i(v) = v + 10. Let z be i(w). Differentiate -2 + 2 + 7*l + 0 - z with respect to l.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/5 - 4) + 4. Let f be ((-2)\/(-9))\/(m\/(-6)). Let s be 5\/(-2)*8\/30. Is s greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 15*r + 10. Let c be o(-8). Suppose 0 = -c*l + n + 1 - 5, 3*l + 13 = -2*n. What are the prime factors of l*8\/60 + (-4510)\/(-25)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 235 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/8)\/((-4)\/16). Suppose -j*x - 2*x = 40. Let z be x\/14*(-4)\/(-8). Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707454 divided by 64314?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.5 + 6. Let a = i + -0.8. What is the nearest to 0 in -0.4, 1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22222002230 - -1?\nAnswer: -22222002223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 7*d**4\/5 - 858*d**3\/5 + 1332*d**2\/5 - 118*d\/5 - 363\/5 = 0?\nAnswer: -3\/7, 1, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1260)*1*6)\/(-6*(sqrt(405) - 3*(sqrt(405) + sqrt(405) + 2*sqrt(405) + sqrt(405) + sqrt(405)))).\nAnswer: 8*sqrt(7)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 294867.3 weeks in hours?\nAnswer: 49537706.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1384\/35 (b) 2\/5 (c) -0.3 (d) -4\/45 (e) -4 (f) 1\/3 (g) -1\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3045 - 83*v**3 - 3045)*(-v + 36*v - 80*v).\nAnswer: 3735*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*f**2*w + 14*f**2 + 48*f - 123952*w - 29 wrt w.\nAnswer: 4*f**2 - 123952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - 30. Let b be m\/150*(1 + -6). Suppose 5*l = -2*d - 0*l - 7, 4*d + 3*l + 7 = 0. Which is smaller: b or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2062925*-1\nAnswer: 2062925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -8*f**2 - 3*f + 3. Let y(z) be the first derivative of 7*z**3\/3 + 2*z**2 - 3*z - 5. Let m(i) = -5*u(i) - 4*y(i). What is the tens digit of m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175796685 is divided by 135541?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170786 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(6\/6)*((-40)\/5)\/(-8). Let b be (-27)\/(-12)*(-16)\/(-6). Suppose -8*k + 6*k + b = i. Solve 4*h + k = 3*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 7*a + 2*a = 2, 0 = -3*m - 3*a + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 607 + -425. Let n = 181 - r. What is the second smallest value in -4, -6\/7, n, 0.4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*w - 5*u + 3, 5*u - 16 = w. Factor -7*d**4 - 3*d**w - 6*d**3 - 14*d**2 - 4*d - 5*d**5 - 12*d**3 + 3*d**5.\nAnswer: -2*d*(d + 1)**3*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2 - 1348*a + 217616 = 0.\nAnswer: 268, 406","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.97 + -60. Put -3, -4, y in increasing order.\nAnswer: -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-1) - (13 - 19). Suppose -5*i + y*i + 34 = 4*t, -4*i + 46 = 5*t. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x**2 - 3*x + 1. Let v(j) = -7*j**2 - 2*j + 1. What is -3*p(h) + 4*v(h)?\nAnswer: -4*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1781, -5, -19, 0 in descending order.\nAnswer: 4, 0, -5, -19, -1781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 3*g + 2. Let h be g\/8 + (-69)\/(-12). Suppose -h*q = -q. Is -1\/33 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17453.99966627 + -17454. Round a to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 6:11 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - 4*(sqrt(49) - sqrt(784)))\/sqrt(7) + 2 + 1*sqrt(7) + (sqrt(7) - (sqrt(1008) - (-1 + sqrt(1008) - sqrt(1008)))).\nAnswer: 1 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 0. Let v = 8 + c. Suppose -3*b + 8 = v. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6360 + 6365. Which is the nearest to 1? (a) h (b) -2\/19 (c) 4\/7 (d) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from pkaccvv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i - 6*i + 5*i + 22*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 74*s**2 + 208*s + 8097. Give c(78).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 2)*12\/9. Suppose o = -v*n - 10, -5*o + 2*n - 4*n + 4 = 0. Determine g, given that -11*g - 46*g - 35*g - 16*g + 12 + 243*g**o = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = -4*i. Suppose 1513 = i*d + v, 297 = 5*d - 4*d + 3*v. What are the prime factors of d*(-7 - -8) + (0 - -1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -64.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 684*u - 55047 - 37540 = 75677. Let q = -48 + 79. Calculate the remainder when u is divided by q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/16)\/(27\/12). Let s = -22 + 57. Let v be 10\/s + 4\/35. Which is the smallest value? (a) v (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*h - 15*h = -76*h + 1566 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120220 - -10001110?\nAnswer: 2110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11284453 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/30 - 5*o**4\/24 + o**3 - o**2. What is the remainder when 61 is divided by i(5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(10)\/sqrt(8))*-2.\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.291 - 0.009. Which is the nearest to -1\/2? (a) l (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3696.9777 nanoseconds to days.\nAnswer: 0.00000000004278909375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1065603\/40 - 26642. Let n be 1\/3 - (-220)\/150. Let u = n + l. Calculate the common denominator of u and -101\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/5 - (-4 + (-192)\/(-20)). Let p be (-3 - 0)\/(1 - (6 + f)). Sort 10, p, 0, 2 in decreasing order.\nAnswer: 10, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2072, 4142, 6212?\n\"Answer: 2070*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a + 2172. What is the tens digit of d(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26\/7 - -319\/84. Let v(w) be the second derivative of -w**2 + 1\/2*w**3 - u*w**4 - 3*w + 0. Factor v(x).\nAnswer: -(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2035583614 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.16. Let b = h + -0.06. Let d = -2 + 1.7. What is the closest to -1 in 2\/13, d, b?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7029068 divided by -5.\nAnswer: 7029068\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - 8*w**2 + 4*w + 23. Let n be a(7). Suppose -105 = n*m + 21. Let i be (-18)\/m - (-116)\/(-14). Let o(s) = -s - 4. Give o(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 108 = -3*v - 150 + 24, 5*g + 579 = -10*v - 196 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) - (-1 - 11\/(-6)). Let i = 2.84 - 2.94. Which is the nearest to t? (a) i (b) -1 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*t - 448 - 802 = -333 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 337.5427t?\nAnswer: 337542.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -764642 - -764642.799882. Let o = -2 + 2.8. Let g = b - o. What is g rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 8. Solve -z = -s*z - 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 7 (c) 6\/5 (d) 1 (e) -0.02965 (f) -1\/32 (g) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 807*x**2 - 456*x**2 - x - 22*x**2 + 865*x**2 to the form k*x**2 + o + w*x and give k.\nAnswer: 1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*q + 3, -12*q + 45 = -9*q + 138*l - 148*l for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and -121.6.\nAnswer: -118.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1312 and 85143224?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + u + 0*u)*(40 - 12 + 15)*(4*u - u + 4*u)*(4 - 3 + 0).\nAnswer: 301*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -16 - 1 - 19) + 13?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3180398085 to the nearest integer?\nAnswer: 56395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -483*w**2 - w - 2154. Let p(k) = 42*k**2 + k - 1. Let z(s) = -d(s) - p(s). Differentiate z(g) with respect to g.\nAnswer: 882*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -5*b - 36, 4*s + 3*b - 54 = s. Calculate the greatest common factor of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 1:29 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oqq. What is prob of sequence qqo?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/9)\/(61\/(-183))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -442 + 442. Let y = -0.3 - -0.8. Let b = y + -3.5. What is the closest to -1 in m, 2, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3329\/3 - 1109. What is the smallest value in w, 2, 2.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(833))**2.\nAnswer: -28*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 326 + -330. Let w(y) = -20*y - 59. Let a be w(u). Solve 5*t - a = 4 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 + -4)\/(1 + 0). Calculate the remainder when (-2 + u)*(2 + -16) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 15*y**2 + 32*y - 32. Let s be a(-17). Suppose 0 = 5*w - 17 - 18. Solve -19 = 2*r - 5*m, -9 = -2*r - s*m + w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**2 - o + 4. Let g be ((-32)\/40)\/(4\/10). Let y be c(g). Let m = y + 13. What is the highest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/1*(-11)\/(33\/207). Let f be (1 + 2\/1)*(-23)\/g. Let k(v) = v**3 - v**2 - v. Let l(o) = 3*o**3 - o**2 - o + 1. Calculate f*l(q) - k(q).\nAnswer: 2*q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (-568)\/204 + 2\/17?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 23*r**2 - 31*r - 124. Give m(-4).\nAnswer: 368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -1639*m**5\/5 + 1187*m**3 - 3578. Find the third derivative of t(p) wrt p.\nAnswer: -39336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 501.259?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 17 * 39214\nAnswer: 666638","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 9 (b) -3\/13 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1123, 4, -2, 5 in decreasing order.\nAnswer: 1123, 5, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 622911 by 156.\nAnswer: 207637\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -89\/44 - -1611\/220. Calculate the common denominator of v and -21\/73.\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, z: 5, h: 1}. What is prob of sequence hzrz?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.02 + 2?\nAnswer: 0.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*f**4*x - 8276*f*x**2 - 88929*x**2 wrt f?\nAnswer: 20*f**3*x - 8276*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 189*c. Let t(l) = -l. Calculate w(t(g)).\nAnswer: -189*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*z + 3*z - 4*x, 4*z + x - 5 = 0. Let q = 13 + z. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 2. Let l(x) = x**3 + 14*x**2 + 2. Calculate the least common multiple of p(-6) and l(-14).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 0 - 8. Suppose -v = 4, 3*z - 5*v - 35 = -0*z. Suppose 4*d = 5*f + 5, 2*d = 6*f - f + z. Put 5, b, d in decreasing order.\nAnswer: 5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 5*r**2 + 4*r + 2. Let u = 22 + -18. Let a be m(u). Let b(v) = -v**3 + 2*v**2 - v + 2. Let i be b(a). Solve 5*w - w + 12 = i for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135? (a) 5 (b) -3 (c) 2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3170 + -2071?\nAnswer: -5241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -155369949 divided by 51789983\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 1 - 2 - (161 - 167)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 5\/31, -4, 3\/2, -41, -0.3?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - ((-74)\/15 - (-12)\/(-18)))\/((-68)\/4080)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 - 11 + 2*c - 74*c**2 + 74*c**2 to the form s*c + w*c**2 + g*c**3 + v and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1975*t + 243438 = -822*t - 324*t for t.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 16. Solve 4*j - 5 = m for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 3969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i*(i**2\/i)\/i*i**(-20)*(i*i**(-2\/39))\/(i*i*i*i**0*i) assuming i is positive.\nAnswer: i**(-821\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 27. Let l = -58 - z. What is the units digit of l\/((-4)\/(-6)*(-12)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6169.9 less than -3.82?\nAnswer: -6173.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 394*q + 7764. Let z be j(-44). What is z rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -0*p - 4*p. Let v be 1010 + -23 + (-6)\/(-2). Calculate the greatest common divisor of v and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 1:46 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/30 - 26*s**4 - 1232*s**3\/3 - 13*s**2 + 39. Factor a(o).\nAnswer: -2*(o + 4)*(o + 308)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s**4 - 2*s**3 + 8318*s**2 - 16645*s**2 + 8333*s**2 - 35*s in the form l*s**2 + y + q*s**3 + n*s**4 + t*s and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 399*n + 3590. Give c(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**5 + 103650*k**4 + 207285*k**3 + 103640*k**2.\nAnswer: 5*k**2*(k + 1)**2*(k + 20728)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72517347?\nAnswer: 3, 7, 1151069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5769\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 7*m. Let n(l) = -l. Let c(t) = -f(t) - 2*n(t). Let z(k) = 5*k - 4. Let x(u) = u + 1. Let w(b) = 4*x(b) + z(b). Determine -5*c(g) - 3*w(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Suppose -117 = -f*h + 3. Does 15 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 4 = -5*s. Suppose 2*x = s*x - 6. List the prime factors of 26\/x - 2\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x + 4*h, -4*x + 1 = -0*h + 3*h. Let r be 2*(x\/8 - (-66)\/(-4)). Let o = 33 + r. What is the closest to o in -2\/7, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2616 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 57640228 to the nearest 10000.\nAnswer: 57640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -1 (c) -0.3 (d) 1\/2 (e) 34\/11 (f) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iysffjsjywjyfsj. What is prob of picking 1 i and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/60 + 369*r**5\/5 + 5*r**4\/12 - 229*r**3\/6 + 64*r**2 - 2*r + 21. Find the second derivative of q(b) wrt b.\nAnswer: -12*b + 8856","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 44.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.30102 + 3.3. Round h to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 + 11*z - 10*z - 6 + 3*z**3 as f*z**3 + q*z**2 + y + d*z and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 34527 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcqqcqq. Give prob of picking 2 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in nine tenths of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 10:00 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/4)\/((-81)\/(-24))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(90)\/(sqrt(6)\/sqrt(2)))\/(2*sqrt(24))*-1)**2.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 9 = -0*l + 4*l, -3 = -4*l - 5*i. Let c = 0.8 - -3.2. Let x = -4 + 4. What is the closest to x in 3, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-16)*20\/255.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/23)*j)\/j*j**7*j*j**(-13)*j*j**(-10)*j assuming j is positive.\nAnswer: j**(-297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 955008?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(12)\/sqrt(4)*2)**2*5 + 0 + -2.\nAnswer: -60*sqrt(3) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4)*z*z**(10\/7))\/((z\/((z\/z**1)\/z*z)*z)\/z*z*z*z**(2\/33)*z) assuming z is positive.\nAnswer: z**(-1301\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/119859 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**3 + 2*c**2 - 4*c - 6. What is the tens digit of r(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, g: 6}. What is prob of sequence ggg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 951583 < 951582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 183*0.3075957\nAnswer: 56.2900131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/3601 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2984928 divided by -21948\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -174 (b) 5 (c) -14.73\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11986 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-6)\/((-720)\/5)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 - 30fe?\nAnswer: -3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.061? (a) -51\/4 (b) 0 (c) -0.6 (d) -3 (e) -1 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 259672 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 8. Let b(w) = 3*w - 25. Calculate -2*b(n) + 7*s(n).\nAnswer: n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.04 + 1. Let i = w + -0.06. Let h = -2083\/15 + 139. What is the third smallest value in 0.3, i, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 10 = 8*x. Let q be 7\/x*(-12)\/21. Solve -2*k = -l + 6, -2*l = l + q*k + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10403 bigger than 10403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -7035*z + 2. Let h(t) = -22*t. Calculate w(h(r)).\nAnswer: 154770*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -98*y**2 - 14249008*y - 581592.\nAnswer: -2*(y + 145398)*(49*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3146.97 - -3147. Let i be ((-1)\/(-7)*-2)\/(-1). Which is the closest to -1? (a) i (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9917 in 1\/5, 0.8, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**4\/8 - 139*p**2 - 6*p. Let c(h) = 8*h. Calculate 2*c(d) - 7*l(d).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12\/215 (b) 0.5 (c) -0.2 (d) -0.4 (e) 291 (f) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 49*x + 43*x + 45 as j*x + w and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20573246579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -s - 155. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + -2. Let x(y) = -4*y**3 + y**3 + c*y**3 - 5*y - 5*y**2. Does 4 divide x(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 AM and 5:57 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 + 12*b + 13. Let m(d) = 3*d**2 + 24*d + 25. Let l(p) = 5*k(p) - 2*m(p). Let s be l(13). Solve 5*o - 4*u = 1, s*o + 3*u = 3*o + 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 703 + -0.04.\nAnswer: 702.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.175582 rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 451585.8l to millilitres.\nAnswer: 451585800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1*12\/(-8))\/((-54)\/(-8)). Let x = 25 + -25.1. Which is the closest to x? (a) l (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -7 - 4 + 3 - 3*u + 0*u. Let a be g(-7). Suppose -p = -25 - a. What is the remainder when p is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1148 + 565 + 583 + 1644*g to the form r*g + w and give r.\nAnswer: 1644","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5841*d + 34065*d**2 + 5841*d - 1033*d**2 to i*d**2 + u + w*d and give i.\nAnswer: 33032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*v - v - 4, 0 = -3*v - 5*g - 1. Calculate the lowest common multiple of 4 and (v - 2\/(4\/(-14))) + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 8554 = 2*a + 14222, -11391 = c + 4*a. Is -11387 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5baaa + -3?\nAnswer: -5baad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 337351302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c33 + -2d8b5?\nAnswer: -33708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3906*y - 170182 + 41284 = 0 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45052.32 millilitres to litres.\nAnswer: 45.05232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 297578 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {s: 1, b: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42569514 is divided by 5321189.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.0111 and 3.\nAnswer: 2.9889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 2*r + 0*r)*(152 + 1027 + 450 - 232).\nAnswer: -1397*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwnwbnwnbbbwbwb. Give prob of picking 2 w.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 1210001000011?\nAnswer: 1210001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 11, l: 2, s: 2}. What is prob of picking 2 q, 1 l, and 1 s?\nAnswer: 44\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = g + 4*g, -3*i + 4*g - 23 = 0. Let v = -31\/3 - -10. What is the nearest to -1\/4 in i, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -v + 39, -3*v + v = 5*b - 82. Let h(s) = s**3 + 11*s**2 - 7*s + 3. Let k be h(-11). Let c = k - v. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -601010 - 1247003. Let s = 2666249 + y. Let m = 1308236 - s. What is m rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.527 - -1.627. What is the third smallest value in -5, z, -2\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -21\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 673?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353310.\nAnswer: 2, 3, 5, 11777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 24. Let f be (1\/(-3))\/((-1)\/q). Let c = -5 + f. Solve -5 = -5*l - 5*d, 5*l + 4*d - c = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14740 divided by 1084?\nAnswer: 3685\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59*o**5 + 1769*o**4 + 509668*o**2.\nAnswer: -3540*o**2 + 42456*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164586?\nAnswer: 2, 3, 27431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (75\/(-6) + 4)*-2. Let p = h - 20. Put p, -4, -2 in decreasing order.\nAnswer: -2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 2*w - 2. Let l(s) = s + 5. Let g be l(-5). Suppose m = -g*m + 4. Let u(p) = -1. Give m*u(h) - t(h).\nAnswer: -h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360 is divided by 100.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-20)*(-3242)\/(-207488)\nAnswer: -1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 346591\/2 or 173297?\nAnswer: 346591\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11277*f*x**2 + 7654*f*x + 8*x**3 - 17*x wrt x?\nAnswer: -22554*f + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88354.3532785 + 11.6501215. Let n = 88348 - r. Let l = n - -18. Round l to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(162)*1*-2)**2 + -5).\nAnswer: 3858","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4 - 7\/8*s - 9\/8*s**2.\nAnswer: -(s + 1)*(9*s - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -587, 1, 0, 8\/7, -24, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -44, -61, -80, -101, -124?\n\"Answer: -n**2 - 14*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 5. Let w = 11 - -2. Let b = w + -9. What is the second biggest value in -2\/3, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 11940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 544084175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 613, 1230, 1851, 2476, 3105?\nAnswer: 3738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(98\/14) - 17*1?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/5 or 0.0779?\nAnswer: 0.0779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a. Let n(z) = 7*z**3 - z**2 - 2*z + 1. Determine -4*c(r) - 2*n(r).\nAnswer: -14*r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8519, -16872, -25219, -33554, -41871?\n\"Answer: y**3 - 3*y**2 - 8351*y - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10\/3*l**2 + 0 + 10\/3*l**4 + 5\/3*l**5 + 0*l**3 - 5\/3*l.\nAnswer: 5*l*(l - 1)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g. Let b = -4 - -7. Suppose b*o + 6 = -3*u, 0*u - 2*u + 2 = 5*o. Let k(q) = -o*q + q + 0*q. Give k(h(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30) - sqrt(120)) + sqrt(30))\/sqrt(10) - (sqrt(6)\/sqrt(2) + 5) - (sqrt(81)\/sqrt(3) - sqrt(3) - sqrt(3) - (3 + sqrt(192))))**2.\nAnswer: -24*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -2*f, -14 = -2*f + l - 2. What is the smallest common multiple of f\/12 - (-130)\/6 and (-47)\/(-3) - (-1)\/3?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 42, -3, -919 in increasing order.\nAnswer: -919, -4, -3, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10001000100110001101 (base 2) to base 4\nAnswer: 2020212031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -0.04, 1\/5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 283*d = 265*d + 1008. Calculate the remainder when d is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 771*t**2 - 24*t + 44. Let r be d(2). Suppose -61*f + 81*f - r = 0. Calculate the greatest common factor of f and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, w: 3}. What is prob of sequence waaw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1695*s**2*z**3 - 84*s**2*z**2 + 3*s**2 - 2033*s*z**3 - 236*s*z**2 - 24*s*z + 4*z**3 wrt z.\nAnswer: 10170*s**2 - 12198*s + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -182, -350, -496, -608, -674, -682?\n\"Answer: 2*b**3 - b**2 - 179*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60538 + 118801 - 65649)*(-2*o**5 + 4*o**5 - o**5).\nAnswer: -7386*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 482.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*c**2*f**3 + 504*c**2*f - 5*c**2 - 433*f**3 + 23*f wrt f?\nAnswer: 90*c**2*f - 2598*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3042 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -3. Let j(k) = -6*k**2 + 3*k. Let v be j(1). Let b be (-8 - -3)*(6\/10)\/v. Is x less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 257044 divided by -5.\nAnswer: -257044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 854\/(-2135)*(114 - -1)\/((-38)\/19).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -884*n + 81 = -883*n. Suppose -101 + n = -2*w. What is the greatest common factor of w and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54185 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -11.4, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 44. Let w be (-2)\/(5\/(-10) - p). List the prime factors of 114 - 0\/w - (0 + 3).\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.38121 and -14?\nAnswer: -5.33694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 80279 + -23352. List the prime factors of u.\nAnswer: 13, 29, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -19, -25, 0, 2.\nAnswer: -25, -19, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 26 = 13*o. What is the hundreds digit of -1*(-314)\/3*o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -0.95. Let y = k + -2.95. Let c = 10897.1 - 10897. What is the closest to 0.2 in y, c, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -50*u + 8*u**4 - u**2 + 104*u - 52*u + 2*u**2 + 61*u**4 in the form c*u**4 + r*u**3 + m*u**2 + n + j*u and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*o + b - 195 - 59 = 64 - 54, 2 = -5*o - 4*b - 28 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9379 divided by -1\nAnswer: 9379","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037 to four dps.\nAnswer: -0.0037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -953\/9 - -106. Let n = -86 - -84. What is the second biggest value in n, 3, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/3762*(-183)\/366.\nAnswer: 1\/209","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 88 - 87.9999999. What is o rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.8*26667684\nAnswer: 21334147.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 9*v + 11. Let a be n(8). Solve a*h - 4 - 14 = 2*c, 0 = -3*c - 5*h + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13562766 to the power of 1\/2, to the nearest integer?\nAnswer: 3683","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + 49. Let c = -55 + t. Calculate the remainder when c is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3331247 to the power of 1\/2, to the nearest integer?\nAnswer: 1825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94329167?\nAnswer: 19, 107, 46399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 179 and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 5*w - 5*c, -5*c + 74 = w + 2*w. Calculate the highest common factor of 45 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**3\/6 + 7*b**2 - 20*b. Let l be g(-9). Suppose 0 = -2*w - l*k + 120, -3*k + 4*k = 0. List the prime factors of w.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:57 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -924814, -1849789, -2774764, -3699739?\n\"Answer: -924975*t + 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*m - 2*m - 160 + 272 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -574.6 - -513.4. What is t rounded to 0 decimal places?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times 3902\nAnswer: 273.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/17 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 12. Let r be (v - 1 - -2)\/2. Let m = 0.2 - 0. Is m equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) - sqrt(1728)*-3)*4 - (3*(sqrt(1728) + 0 + sqrt(1728) - sqrt(1728) - sqrt(1728)))**2.\nAnswer: 384*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = 6, -5*v - 4*p = 8. Suppose -h - 4 = -3*h + 2*i, 10 = 5*h + 3*i. What is u in -1\/2*u**3 + v*u + 1\/2*u**h + 0 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzpzzzzzzzzzpzzz. What is prob of picking 3 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 24*o**2 + 627*o + 6510. Give k(-10).\nAnswer: 2640","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of m**8\/28 + m**4\/4 - m - 3. Let t(f) be the first derivative of i(f). Find the third derivative of t(v) wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 22795 in -2, 2, 0.2, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbhjjtbhccjbbjjtjjjb. What is prob of picking 2 c?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3*-7.6\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 10. Let x = -7 - v. Is (-8)\/12*327\/x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 5*o**2 + 10*o + 12. Determine j(6).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19, 38, 69, 112, 167, 234?\n\"Answer: 6*k**2 + k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87 + 84. Let a be (-1815)\/(-484) - 1*q. What is w in 225*w**2 + 250*w**3 + a + 135\/2*w = 0?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -450*b + 452*b + 6, 2 = -3*l + 2*b. Suppose 0 = 3*u - 6, 58 = -2*q + 4*u - 0*u. Sort -4, l, q.\nAnswer: q, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 4307?\nAnswer: 4315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, -4.\nAnswer: -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 40505404?\nAnswer: 40505411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(288)*4 - ((5 + -1*sqrt(288))**2 - sqrt(288))) + ((sqrt(64)*5)\/((sqrt(72)\/sqrt(3))\/sqrt(3)))**2 + 4.\nAnswer: -109 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 12. Suppose -21*j - b = -22*j. Solve -s - s - j = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + n + 456 = 507, 0 = 13*h + n - 86 + 35 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - (3 - 1) - -39. Suppose 2*o - 6 = -2*v, -5*v - 3*o = -v - 7. Put v, f, -1 in decreasing order.\nAnswer: f, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 5. Let t be o(0). Let k(v) = -35 + 35 + 6*v. Let f(l) = 11 + 1 + 8*l - 3*l - 12. What is t*f(j) - 4*k(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/5*t**5 - 7396\/5*t**2 - 636\/5*t**3 + 15232*t + 116\/5*t**4 - 35280 = 0 for t.\nAnswer: -9, 5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -195*q**3\/2 - 3*q**2 = 0.\nAnswer: -2\/65, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/44 + -39\/220. Is -1 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226.9 + 0.130648787798?\nAnswer: -226.769351212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -27. Let d be 42\/(-3)*(-2)\/x. Find the second derivative of 537 - 537 - 4*q + d*q**2 wrt q.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 766606\/6165 + 66\/685. Let h = w + -124. Suppose 2*c = 2*l - 306 + 296, 5*c + 3*l - 23 = 0. Which is smaller: h or c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 32)*(3 - -3). Find the common denominator of -103\/58 and (-24)\/b - (-4053)\/990.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26220.\nAnswer: 2, 3, 5, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 5:27 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 13*o + 3. Let x(t) = -13*t - 4. Let n(a) = -3*h(a) - 4*x(a). Let z be n(-3). Let y = z + 44. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 99421700 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 - 401560*v**3 - 20157107304*v**2 - 80623610560*v - 80622004352 = 0. What is v?\nAnswer: -100388, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 264 and 2024.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2853, 2839, 2827, 2817, 2809, 2803, 2799?\n\"Answer: k**2 - 17*k + 2869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -81.5. Let u = 23 - t. What is the second smallest value in 8, u, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -717426 divided by -6\nAnswer: 119571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 16 = 5*z + y, 0 = y + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 12*h**2 + h + 16. Let j be d(-12). Suppose j*k - 163 = -23. Suppose 0 = -4*i + 52 - 4. What is the remainder when k is divided by i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 528*h**2 - 523*h**2 + 0*h**3 + 15*h - 4*h + h**3. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -152 - -680. Let p be (76 + -75)\/((-1)\/(-3)) + 45. Calculate the highest common divisor of c and p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 11*u**5\/20 - 3*u**3\/2 - 10*u. Find the second derivative of z(p) wrt p.\nAnswer: 66*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**2\/5 + 246376*c\/5 + 15650848 = 0.\nAnswer: -316, 61910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 1, -5, -428, 4.\nAnswer: -428, -5, 1, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4282794, -17131162, -38545106, -68524626?\nAnswer: -107069722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -6 + 4 + (-4 - -5 - -3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 1:54 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2619 and 9666.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142223 = -31*k - 22594. Suppose -3152 = -41*n + k. What is the remainder when n is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of a**4\/12 + 11*a**3\/6 + 5*a + 118. Let q(z) be the first derivative of g(z). Let q(l) = 0. Calculate l.\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 71 = -2*q - 297, -4*m - 4*q + 164 = 0. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*s + 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*z - 124 = 132 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -638*m*u**2 - 9958847*m - 4146*u**2 with respect to u.\nAnswer: -1276*m*u - 8292*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - u**2 + u + 11. Let y be z(0). Let l = 28 + -6. What is the greatest common factor of l and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 0)*(-q + 0*q - q) + (2504 - 1187 - 1088)*(-3*q - 3*q + 5*q) to v + y*q and give y.\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 53*g**3 - 5*g**2 - 18*g + 15. Let p(l) = 80*l**3 - 7*l**2 - 27*l + 21. Calculate 7*f(c) - 5*p(c).\nAnswer: -29*c**3 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-36 - 2)*(-3 - -1*308). Round s to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Suppose 5*q = -33 - 27. List the prime factors of q*i*(-4)\/32.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**3 - v - 1. Let b be a(-1). Suppose 5*o = -b*u + 2600, -o + 1044 = -3*u + 5*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**6\/6 + 11*k**5\/60 - 4*k**3\/3 + 3789*k**2. Let i(r) = -7*r**3 + 4*r**2 - 3. What is -11*i(z) + 4*m(z)?\nAnswer: -3*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4032, -2706, -494, 2604?\nAnswer: 6588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 24.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + t - 1. What is h(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 78.69294 to 1 decimal place.\nAnswer: 78.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 + 0)*(0*j + 3*j + 3*j)*(-91331*j + 53*j**2 + 91331*j) as q*j**2 + m*j + p*j**3 + t and give p.\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q + 14. Let p be a(-10). Let n be 8\/p*(-2*1 + 0). Suppose -n = -b - 0*b. What is the smallest value in 0, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -3 (c) -71\/28 (d) 2315 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11113241 + 23?\nAnswer: 11113314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/7 - 3704206*c\/7.\nAnswer: 2*c*(c - 1852103)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37*23.\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 560727 or 559709?\nAnswer: 560727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*v = -125*v - 840. Calculate the greatest common factor of v and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9352 - -5860937.\nAnswer: 5851585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/5)\/(6\/(-5)). Let y = 147\/4 + -36. Let p = 3 + -2.9. What is the nearest to 1 in v, y, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4882988 or -4882941?\nAnswer: -4882941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w + 18. Let a(q) = -3*q**2 - 143*q - 823. Let l be a(-41). Determine f(l).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796800 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -1\/2*j**4 + 0*j - 1\/3*j**3 - 52 - 1\/5*j**5 + 9*j**2. Find the third derivative of g(y) wrt y.\nAnswer: -24*y - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.877 to two decimal places.\nAnswer: 0.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 - 345*r**4 + 8*r**3 + 9332*r?\nAnswer: -40*r**3 - 4140*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-63 - -62) + (-1 - (0 + -2)). Let q(x) = -x + 7. Let z be q(5). Solve v = 3, 4*m - z*v - 14 = -w*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003452686 rounded to five decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1420)\/(-213) - (-1)\/(-6)) + 340\/(-52).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/6 - w**2\/2 + 662*w. Let r(m) = 2*m + 2. Let b = -6 + 12. Determine b*r(j) + 14*t(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28482, -28490, -28498, -28506?\nAnswer: -28514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28.1 - 30. Let v = d - -2.8. Let h = 2.9 - v. Sort h, 0.1, -0.4 in decreasing order.\nAnswer: h, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-3 + (-4 - -6))) + -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(-12) + -1)\/((-385)\/(-154))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.7 - 4.5. Which is the second smallest value? (a) o (b) 1\/2 (c) -26 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -154.56 rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 b when three letters picked without replacement from {k: 2, x: 1, u: 2, b: 1, o: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-25)\/(-2)) + 0\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2886881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6 + 46.6. Let m = h + -44.05. Let x = 42.55 + m. Round x to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/9)\/((-20)\/30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 + 203*u**4 + u**2 - 202*u**4 - 2*u**2 - u.\nAnswer: u*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15772*h + 3*h**3 - 7886*h - 7886*h + 5*h**3 - 26*h**3.\nAnswer: -18*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4507*s - 375*s = 2873*s - 411015 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7ac (base 16) in base 7?\nAnswer: 5504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 4*a + 97 = 0, -w = 202*a - 205*a - 44 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -56.5299991706 + 56.53. Round r to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9392494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 6. Suppose u*a - 5*a + 80 = 0. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 10 - 2 + 6. Calculate t(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 7. Let p be k(-5). Suppose -y - j - p*j - 24 = 0, -65 = 5*y + 4*j. Let v(d) = d**3 + 8*d**2 - 9*d + 4. List the prime factors of v(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(605))*-4 + sqrt(605) + (sqrt(605) + 1 - sqrt(605)) + -5)**2*-3 - (0 + -1 + -1 + sqrt(605) + (0 + sqrt(605))*6)**2)*4.\nAnswer: -184128 - 1936*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f - 232 = 4*o - 4*f, -95 = 2*o - 5*f. Let y = 80 + o. Suppose -3*w + 0*w + 13 = 2*x, 5*w = -4*x + y. Let u(a) = a**3 - 6*a**2 + 4*a. Calculate u(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -282, -4 in increasing order.\nAnswer: -282, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/188230 and 123\/12799640.\nAnswer: 12799640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 61.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-16 - (-33963 + -22)) + (-8)\/1.\nAnswer: 33961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3011 + -1411341?\nAnswer: -1403330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 - 2.14. Let f = -128 - -642\/5. Let m be (-8)\/((-6)\/(-3))*-1. Which is the nearest to f? (a) m (b) -0.3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minus 0.2552?\nAnswer: 66.7448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k - 4. Let l(q) = -56*q + 21. Let v(p) = 21*c(p) + 4*l(p). Let i(t) = t. Calculate i(v(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6*(-20)\/(-4050))\/(((-6)\/20)\/((-6)\/(-8)))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -4*o + 24115, 4*o + 1532 = -3*k + 15993. List the prime factors of k.\nAnswer: 3, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 - 9. Let b = a - 100.05. Is 3 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1) + (-105648)\/3. Suppose 3*k - 234324 - 314722 = -30688. Let z = k - x. What is z rounded to the nearest ten thousand?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -133 + 138 + (-2)\/2 + 1. Which is the third biggest value? (a) d (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*a + 99. Suppose -2*d - 5*s + a = 0, -d = d + 2*s - 74. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22222102 (base 3) in base 8?\nAnswer: 14621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + 51. List the prime factors of x.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) -1\/4 (c) -6\/85 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-2)*(2 + -6). Suppose -m = v*m + 12, 3*o + 2*m + 20 = 0. Which is the nearest to -0.1? (a) o (b) 2\/13 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-773*(-90)\/24)\/(4\/(-32)*-2). Is o at least 11596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 35 = -25. Let j be (-44)\/f + (-5)\/75*-6. Let s = 3 + j. What is the closest to s in -4, -0.3, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*x**4 - 84*x**3 + 9*x - 11972.\nAnswer: -32*x**3 - 252*x**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*l**3 + 4*l**4 + 7*l - 5*l + 20*l**3 - 26*l**3 to the form q*l**4 + y*l + i*l**3 + a*l**2 + d and give i.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10552 is divided by 941.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 3042*b**3 + 9144*b**2 + 9150*b + 3051.\nAnswer: -3*(b - 1017)*(b + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324 - -611. Suppose -2*r + 49 = -b. Suppose -33*u = -31*u - r. What is the remainder when u is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/15 + 3*a**2. Let k(t) be the second derivative of t**4\/12 - 1232*t. Determine x(k(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 2*u**3\/3 + 7*u**2 - 11*u - 5. Let t be v(-12). Suppose -r + 4*x + t = 26, -r + 5*x = -83. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 46*i - 101. Let v(m) = m**3 - 36*m**2 + 33*m + 74. Let g be v(35). Calculate the remainder when q(g) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 44268126\nAnswer: -13\/44268126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14913, -29824, -44735, -59646, -74557, -89468?\nAnswer: -104379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c. Let p = -2 - 1. Let d(n) = -3*n. Let t(f) = p*q(f) + 2*d(f). Let v(b) = -7*b**2 - 3*b**2 + 16*b**2. Determine t(v(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 853 and 1123401?\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654140659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -346 = -3*u - 364 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 5*t**3\/3 - 167*t**2\/2 - t + 66. Calculate s(13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 549 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3598*-1.08.\nAnswer: 0.388584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 - 18297*c - 14713*c.\nAnswer: -33010*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-4)\/5)\/4). Let m(h) = -h**3 + 5*h**2 + h - 5. Let s be m(x). Which is the nearest to s? (a) -1 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -125*g**3 - 72425*g**2 - 7347655*g + 970958765 = 0.\nAnswer: -1631\/5, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 u, and 1 z when four letters picked without replacement from {t: 1, b: 1, u: 2, z: 2, c: 8}?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 3*w**3 - 5*w**2 + 5*w. Let x(n) = -n**3 + 2*n**2 - 2*n. Suppose -75 = -0*u - 5*u. Calculate u*x(j) + 6*o(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/6 and -13\/1964?\nAnswer: 5892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3) + 11 + 31 + -13 - -4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20*(8631\/(-105) - -85)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 41. Sort -5, i, 2 in decreasing order.\nAnswer: 2, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -0 + 6, -o = 5*k + 7. Find the first derivative of 40 - 20 - o + 188*g - 11 wrt g.\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/3 - (-1)\/(-3). Suppose -4*w + 31 - 7 = h. What is the smallest common multiple of 10 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b - 2*b**4 + (-2 + 3 + 1)*(2*b**4 + 3*b**3 + b**3 - 5*b**3).\nAnswer: 2*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 - (-29 + (33 - -34))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dshdddsdhssdhdhds. Give prob of sequence hds.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5 + 7 = 0, -4*y - l = 57. Let g be (63\/y)\/(5\/25). Put 0, g, 3 in increasing order.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 899350649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 152 - 1102 = -10*f. Let z = -55 + f. Which is smaller: 42 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-18)*2\/(32\/(-3)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2618*q - 2363*q + 6885 = 0 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -30*s + 1267. Let n be q(42). Solve n*w + 3*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 742 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 49. What is u(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/90010 or 1?\nAnswer: -1\/90010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11838 plus 0.4?\nAnswer: 0.28162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-3) - -23 - -2. Suppose -181 + 67 = -4*j + 5*z, -6 = 3*z. Let v = o - j. Solve 0*q - 2 = -v*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2381152.\nAnswer: 2, 74411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617503 is divided by 338.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 8)\/((-3)\/(-2)). Suppose -2*m - 9 = -4*d - 3*m, 5*m = -n*d + 13. Suppose 0 = 3*g + l - 7 - 1, l - d = 0. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566708 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2995755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -4.94. Let b be 1\/(-2)*-4*(-11)\/(-22). What is the closest to -1\/3 in b, u, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -3*b**2\/2 + 2. Let v(n) be the third derivative of -n**5\/20 - 7*n**2. What is v(a(z))?\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*f + 136*f - 384 = 0. Suppose f = 8*j - 80. What is the smallest common multiple of j and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**3\/4 - 123*p**2\/4 + 3843*p\/4 - 3721\/4 = 0.\nAnswer: 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20121?\nAnswer: 3, 19, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -46. Suppose 4*s = 3*f - 98, 168 = 2*f + 2*f + 4*s. Let d = f - c. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(-5*sqrt(6)*-2))**2.\nAnswer: 11\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-42) - -215288*(-1017461)\/533859018. Let d = s + -1\/6207663. Let w = d - -410. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -495199 (b) 0.1 (c) 0.5 (d) -1\/30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2188 = -c - 2185, -2*u + 66 = -13*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14102202432 + 10?\nAnswer: 14102202442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -527.9669 - -528. Let k = 0.033106 - f. What is k rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8)*(1 + 33) - 3. Which is bigger: -19 or g?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -697 = 2*u - 7*u + 4*r, -3*r + 147 = u. What is the remainder when u is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-36))\/(((-30)\/(-40))\/1)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 5:01 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9242 is divided by 2093.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) 0.2 (b) -4 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 338 = 4*u, -4*q + 420*u - 416*u + 696 = 0. Calculate the remainder when q is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-49)\/(-21) + -2 + (-16)\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -15*c**3 - 9*c**2 + 4*c - 4. Let m(a) = a**3 - a + 1. Let h(y) = 4*m(y) + n(y). What is the third derivative of h(g) wrt g?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472754 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7923 divided by 3?\nAnswer: -2641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 113646199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15789 and 208304.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven sixths of a hour?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7130921 is divided by 3565456.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/8)*g*g**(4\/37))**(-25) assuming g is positive.\nAnswer: g**(-5425\/296)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/143? (a) 0.1 (b) 1790 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**4\/12 - 7*u**3\/6 - 2*u**2 + 107*u. Calculate r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 11. Let t = n - -4. Solve -p + 2*p + o - 1 = 0, 3*p = 4*o - t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16\/4855 + 1208543\/106810. Let f = 240\/11 - j. Let k = 794\/69 - 50\/23. What is the common denominator of k and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 9*t - 8. Suppose 0 = -5*v - 45 - 20. What are the prime factors of z(v)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*2\/40*3\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 992708700*o**2 - 496354422*o**2 - 496354280*o**2.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453*m**2 - 148*m**2 - 163*m**2 - 163*m**2.\nAnswer: -21*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2 + h + 1. Suppose -5 + 65 = 10*k. Let c(i) = -i**2. What is k*c(j) - 2*b(j)?\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 889, 7011, 23633, 56005, 109377, 188999?\n\"Answer: 875*c**3 - 3*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*k**2 - 6*k + 179?\nAnswer: 20*k - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 91 = -65. Suppose -129*b = -132*b + 9. Suppose -b*a - 397 + 454 = 0. Calculate the remainder when i is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000923 rounded to 7 decimal places?\nAnswer: 0.0000092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 3:29 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -185\/26, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nbf when three letters picked without replacement from {b: 1, f: 4, n: 2, i: 2, g: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 326826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -49?\nAnswer: 6\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5706424659?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 44\/3?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*3\/(-6))\/(2\/12). Suppose -x*i + 12 + 12 = 3*d, -d + 8 = 2*i. Calculate the remainder when 54 is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/2 of a millennium?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 6*p**2 + 4*p + 6. Let s be y(-2). Suppose 0 = 8*x - 19*x + s. Solve -x*a = a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51135 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4860) + sqrt(4860) + sqrt(4860) + sqrt(4860) + sqrt(4860) + (sqrt(4860) - 3*sqrt(4860)*-1) + sqrt(4860))\/((sqrt(12) - sqrt(84)\/(sqrt(7)*-2))*-4).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, -417, 89.\nAnswer: -417, 0.03, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1963 is divided by 1941.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1254682 and 5577?\nAnswer: 48932598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and -65.82?\nAnswer: 65.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 115281115 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + -3.9. Let b = -3.06 + 0.06. What is the second smallest value in b, -2\/7, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7424.582 millimeters to meters.\nAnswer: 7.424582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7760 and 1649?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13480770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p - 256. Let d(l) be the first derivative of l**2\/2 - 755. Give w(d(s)).\nAnswer: 2*s - 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 11) to base 2\nAnswer: -10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r\/((r**(-5)*r*r)\/r*r*r))\/r*r*r**(2\/5))**(3\/26) assuming r is positive.\nAnswer: r**(33\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 444328483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -5 (b) 5 (c) -3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6213107\/763 - 8143. Is 1 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - ((-4)\/5 + (-396)\/55).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o. Let h(y) be the second derivative of -y**3\/3 - 6*y. Let c = -7 - -12. Let t(d) = c*h(d) + 3*l(d). Let j(u) = -2*u. What is t(j(q))?\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11757024091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 7*j**2 - 8*j - 3. Let i = 29 + -26. Suppose -5*h + 3*l - 45 = 4, 5*l - 39 = i*h. Let y be n(h). What is the nearest to 0 in y, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/60 - 3*b**4\/4 + 25*b**3\/3 - 119*b**2. Determine r(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 208\/456773 or -1?\nAnswer: 208\/456773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -106, -4, -5, 177, 2, 18, -2 in increasing order.\nAnswer: -106, -5, -4, -2, 2, 18, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*g - 10 - 10, -3*g + 5*r + 1 = 0. Let i be (1 - g\/(-1)) + 2. Suppose i = 4*y - 0*y - 208. Calculate the remainder when y is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 357267, 357239, 357211, 357183, 357155?\n\"Answer: -28*a + 357295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15488, 15498, 15522, 15566, 15636, 15738, 15878, 16062?\nAnswer: 16296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/7 and (-6105)\/363 + (-3)\/((-33)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101101010 (base 2) to base 11\nAnswer: -2aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/6)\/((33\/77)\/(-10*(-90)\/1400))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 19 - -24 - (21 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k = 4. Is k > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + r. Let k be (-2 + 1)\/(4\/(-8)). Let o(j) = j**k - 9*j**2 + 1 + j**2 + j**2. Let y(w) = -4*m(w) - o(w). What is y(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -192798*t + 36. What is b(0)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 5*c**3\/3 + 20*c**2\/3 - 35*c\/3 - 50\/3 = 0.\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 180 + -343. Is (-1 + 0)\/(1\/r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3846*d**3*f - 2*d*f - 22925*d - 220*f + 4341 wrt d.\nAnswer: 11538*d**2*f - 2*f - 22925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 2, j: 3, d: 1}. What is prob of picking 2 j?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 908 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**3*r**2 + 125*p**3 + 11*p*r wrt r.\nAnswer: -2*p**3*r + 11*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 8:16 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 329255 or 4280308\/13?\nAnswer: 4280308\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuuuuuutuutuuuutu.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - -6409356405.\nAnswer: 6409356396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*f - 10, -2*h = -f - 18 + 3. Let y be (-152)\/(-6) + h\/(-15). Solve -4*q - 9 = -y for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 656840886.\nAnswer: 2, 3, 13, 47, 139, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.240508 + 0.2346. What is z rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/9 + 29 + 341320\/(-12402)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -1.7. Let s = -11 + 10. Let n = 11567\/28 - 2890\/7. Which is the nearest to n? (a) -2 (b) s (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -592, -1\/5, 4, 122\/11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -318.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(1\/6))*i*(i*i*i**(2\/7)*i*i)\/i)**37\/((i**(-1\/4)*i\/i**(-1\/4))\/(i**0)**(-5\/7)) assuming i is positive.\nAnswer: i**(6877\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 6:20 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162537, 162462, 162391, 162324, 162261, 162202, 162147?\nAnswer: 162096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5951*b = 5952*b - 4*n - 5, -3*b + n = 7 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b - 20. Let h be g(-8). Solve 4*x = h*i + 8, 4*i + 4*x + 5 = 5*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -107*m + 36*m + 82*m. Let c(g) be the first derivative of 2*g**3\/3 + 1. Give u(c(k)).\nAnswer: 22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - a - 13 = 0, 4*z + 5*a = 2*z - 11. Suppose 4*w = z*w + 36. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2 - 14*d - 5717. What is g(57)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29 + 33. Suppose 0 = v*f + 2427 - 11147. What is f rounded to the nearest 100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -105*w - 11*w - 1 - 168*w - 2 as s + m*w and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 + -79?\nAnswer: -78.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 244833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 2*v - 5*v)*(-4*v - v + 2*v - v + 0*v + 0*v + v + 0*v + v + (4*v + 3*v - 5*v)*(-3 + 4 - 3) - v - 2 + 2).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -318 - -318.2. What is the closest to 1\/5 in -6, 2\/7, g, 0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7276 - -7362.47. Let t = -86 + n. What is t rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 529 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 39*o**2 + 9*o + 240. What is the tens digit of a(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -16*z**3 + 105*z**2 + 562*z - 61. Determine j(10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6, 3, 24, 63, 126, 219, 348, 519?\n\"Answer: m**3 + 2*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m - 8. Let c(w) = -w + 1. What is 4*c(g) + i(g)?\nAnswer: g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -7*l**3 - 5*l**2 - 6*l - 9. Let c be v(-3). Let w = c + -4. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -13 - (-1 - -2) - -13 - 39.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 18)*14*1. Let d be (-2)\/(-10) + x\/35. Solve 3*r - 4*n = d, -n + 3 = 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.77, 0.1, -2\/7, 964 in ascending order.\nAnswer: -13.77, -2\/7, 0.1, 964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(156))\/(sqrt(12) + 5*sqrt(24)\/sqrt(2)).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + i**2 + 1 + (i + 1 - 1)*(-4 + 4 - i) - 5*i**2 + 4*i**2 + 0*i**2 + 2*i**2 - i - i + i**2 to the form u*i**2 + t + g*i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3608666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 841 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**2 - 3*z**3 + 3 + 5*z**3 + 4*z**2 - z as h*z + y*z**3 + n + x*z**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 436 and 2?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-8)*q))\/((q*q**(-1\/11))\/q)*(((q**7\/q*q)\/q)\/q)\/(q\/(q*q\/(q\/(q*q**(-7\/3))))))**(-31) assuming q is positive.\nAnswer: q**(-12028\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1156233?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 489 - 312 = 0. Let v = 615 + m. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**3\/6 - 7*x**2\/2 - x. Let t be h(-9). Suppose 8*i - n - 45 = 3*i, -9 = -i + t*n. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -879335200 rounded to the nearest 1000000?\nAnswer: -879000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-108)\/184)*((-232)\/16 - -16).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -15 + 4 + -1 + 3. Let s be (0 - -1) + -4 + b. What are the prime factors of (-4 - -1)*2\/(s\/22)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625 smaller than 625?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 112, 188, 264, 340, 416?\n\"Answer: 76*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 537450031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00914549 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2532 - -2659. Calculate the remainder when 211 is divided by o.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89421936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 12) in base 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13320002 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 r when three letters picked without replacement from {p: 8, r: 2}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 34.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 11*l**2. Let p(w) = -9*w**2. What is p(i(j))?\nAnswer: -1089*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 9*a - 4*a**2 + 3*a**2 + 14*a + 6*a - 142. Calculate the remainder when 81 is divided by h(21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385e (base 16) in base 3?\nAnswer: 21101120222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*r = 51*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 - 3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of b**4\/6 + b**3\/6 - 11*b**2\/2 + 10*b. What are the prime factors of x(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -144*g**3 + 144*g**3 + 22*g**4 + (0*g + 0*g + g**2)*(2*g**2 - 2*g**2 - g**2) - 4 - g**4 + 4 - 157 - 10*g**4 + 157.\nAnswer: 10*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 less than -19.8?\nAnswer: -18.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 493 is divided by 4\/12 + -2 + (-4)\/(-6) + 247?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-305)\/(-2) + (-5)\/(-10). Does 17 divide (s\/5)\/((-1)\/(-15))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -4. What is the nearest to 1\/3 in t, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = 2*j - 21, 0 = -2*x + 5*j + 676 - 682 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16900*p**3 - 14626560*p**2 - 6972861*p - 831265.\nAnswer: -(p + 865)*(130*p + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - 3)*3\/(-4). What is the common denominator of 71\/10 and q + (-717)\/120 - 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 - (-4)\/8)*24\/(-20). Differentiate p**z + 35*p + 77 + 5 - 14 + 64 wrt p.\nAnswer: 3*p**2 + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -186*(-13)\/(91\/7) is divided by 111?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16411.63 (b) -51 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(40)\/(sqrt(8)*1) + 3 - (-3*(sqrt(5) + -5*sqrt(5)*-3))**2).\nAnswer: -6*sqrt(5) + 69102","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -505*v**2 - 512*v**2 - 8 + 1013*v**2 - 4*v**3 to b*v**2 + p*v + i + o*v**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235321*b - 235330*b + 252 = 0, 5*q + 64 = 3*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 + 1)*(1 + 0 - 2)*(-2 + 3 - 3) + (28 - 9 + 21)*(0 + 1 + 0))*(-1 + 2 - 2)*(-5*g + 3*g + g)*(-1 - 2 + 0) in the form h*g + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c - 13. Let i be g(-4). Let x = -27 - -42. Let z = x + -11. Solve 2*m - f = -i, -3*m + z*m = -4*f + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzbzbzz. Give prob of sequence bzbz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Suppose -61 - 84 = -j*t. Suppose 0 = -2*r + 4*d, -r + d - 25 = -3*r. What is the remainder when t is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (22 - 1909\/92) + (-97)\/4. Sort 2, -5, h in descending order.\nAnswer: 2, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31126330.\nAnswer: 2, 5, 97, 32089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 389191 - 16?\nAnswer: 389179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -303*((-104)\/12 - (2 + -2)). Suppose 0 = 2*p + 5*k - x, -4*k + 5122 = 5*p - 1460. Suppose -6*r + p = -4916. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -86, -167, -254, -353, -470, -611?\n\"Answer: -f**3 + 3*f**2 - 83*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1300 + 1300. Is p less than -36\/59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 254210 = 9*q + q. What is q rounded to the nearest 100?\nAnswer: 25400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/3 of a millennium?\nAnswer: 92000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8535 = -11*k + 342. Calculate the remainder when k is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35 and 0.15.\nAnswer: 35.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.749 rounded to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3034537 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-53 + 62)*(-452)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 316 = -3*x, -5*x - 3*k = 599 - 75. Let l = -51 - x. List the prime factors of l + (-2)\/2 + -1.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - -2)\/70*(-5)\/4?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 839004.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -44601 or -44604?\nAnswer: -44604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -152*b**5 + 884*b**4 = 0. What is b?\nAnswer: 0, 221\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111*c + 1131 = 10*c - 1168 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*g**3 + 18*g**3 - 2*g**2 - 14 + 12 - 7*g to the form f*g**3 + k + c*g**2 + a*g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/4 - (-1)\/4. Let p be 2\/g + 1293\/(-12). Let o = p + 161. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 33*x + 42. Let g(q) = -2*q**2 - 32*q + 40. Let m(c) = 7*g(c) - 6*y(c). Factor m(i).\nAnswer: -2*(i - 1)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:10 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/7)\/((v\/v**(-7))\/v))\/((v\/(v*(v**6*v)\/v))\/(v*(v**(-6)\/v)\/v*v*v))*v\/v**(6\/5)*v*v\/v**(-4\/7)*v**(-4)\/(v**(3\/7)*v) assuming v is positive.\nAnswer: v**(-312\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*k = 221 - 58, -5*w = 5*k + 210. Let r = 52 + w. Solve 4*q - 5*i = -7, 2*q + r = 5*i - 4*i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2151.81?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 31*q**3 - 3*q + 3. What is w(1)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 + -1 + -8 + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14327 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 32, 52, 76, 104, 136?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2040\/(-442) + (-47 - -51).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -97, 0, -38, -5 in ascending order.\nAnswer: -97, -38, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-240)\/72*-5*9\/375?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 12070.\nAnswer: 1\/12070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 25*j**3 + 24*j - 19. Let c(o) = 49*o**3 + o**2 + 40*o - 40. What is -5*a(l) + 3*c(l)?\nAnswer: 22*l**3 + 3*l**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 0.02755715075.\nAnswer: 3.02755715075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 3*u - 2. Let b = -2 + -2. Let d = b + 10. Calculate the remainder when m(-3) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 10.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(23\/(-6)))\/2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -13. Let m be 7 - (-5 - (0 + x)). Solve 0*t = -2*t + m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Let a = -2 + t. What is the second smallest value in 2\/7, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389253 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t + 12. Calculate s(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 5*p + 44. Suppose 4*n = p*n + 124. Let i = -56 - n. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03446 and -0.3.\nAnswer: -0.010338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 69 = 3*i - 30. Solve -31*f - i - 155 = 0 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r + 1. Let i be v(1). Suppose 8*d = 10*d - 6. Suppose o + 3 - 2 = 3*y, -i*y + o + d = 0. Solve w - y - 1 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 295784 = 2*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 588\/30 - 2\/(-5). Suppose r = 2*z + 4*o, -18 = -5*o + 7. Suppose 0*u - u + 11 = z. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 + 5*w + 50. Let n(v) = -4*v**2 - 7*v - 49. Determine -5*a(m) - 4*n(m).\nAnswer: m**2 + 3*m - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9341\/5 - -1) + -2. Let x = z + -1858. Suppose 3*t - w - 4*w + 76 = 0, -3*t + 4*w - 80 = 0. Calculate the common denominator of x and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 205 divide 511643305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -4*f**5\/5 + 248*f**4\/5 + 252*f**3\/5 = 0.\nAnswer: -1, 0, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + 2*h + 2, -2 = -h + 3. Suppose 0 = -5*s + l*g + 30, -s + 17 = -5*s - 5*g. What is the second derivative of 5*o + 10*o**s + 44 - 44 wrt o?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -103, -162?\n\"Answer: -59*l + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**2 - 1603*h + 1603*h + 1203*h**3.\nAnswer: 1203*h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 - 3*y - 32. Let h be p(4). Let z be 3\/(3 + -4 - -2). Sort -39, h, z in ascending order.\nAnswer: -39, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -816*x**2 - 9*x + 32. Let g(k) = -3265*k**2 - 36*k + 132. Let t(u) = -9*b(u) + 2*g(u). Find the second derivative of t(d) wrt d.\nAnswer: 1628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 237873286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(-18*143\/(-468))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 479.75 and -570955?\nAnswer: 571434.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m - m)*(-m**3 - m + m) + m**5 - 4*m**4 + 4*m**4 + 160*m**2 - 34*m**5 - 160*m**2.\nAnswer: -35*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12701*d**2*i**3 - 20*d**2 + 17*i**3 + 8294 wrt d.\nAnswer: -25402*d*i**3 - 40*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 8. Which is greater: s or -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208114, -416204, -624280, -832336, -1040366, -1248364, -1456324?\nAnswer: -1664240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*f + (0 + 3 - 1)*(-2*f + 3*f - 3*f) + (4 - 3 - 2)*(1 - 1 - 3*f))*(-104 - 97 + 216).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 <= 49\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbrrrrbrbbbrbrbnr. Give prob of sequence rb.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-3)\/1888) - -1. Let h(i) = 12*i**2 + 221*i + 79. Let t be h(-20). Let v = g - t. Round v to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2315014104 + -2.\nAnswer: 2315014102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 194 = -17*d + 21*d, 4*l = -3*d - 196 - 51 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(((n\/(n*n*n**(-12))*n)\/n)\/n)\/n*n*n**17*n*n)\/(n\/(n\/(((n**12\/n*n)\/n)\/n))*(n*n*(n\/(n**(-24)\/n)*n*n)\/n*n)\/n) assuming n is positive.\nAnswer: n**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0 = -5. Let y = 1 + w. Suppose 4*m - 8*m = 4*t - 68, 5*m - 79 = t. Solve 5*b - k = -m, -y = -k - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36330 + 51373. What is the highest common factor of 49 and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**4)**(-40)\/(m\/(m*m*m*(m*m**(-10)\/m*m*m)\/m)*m*m**(-1\/2)))**5 assuming m is positive.\nAnswer: m**(-1675\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10620, -10598, -10572, -10542, -10508, -10470?\n\"Answer: 2*t**2 + 16*t - 10638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -3, -1, 4, 26.\nAnswer: -48, -3, -1, 4, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -2*y - 7, 0 = -6*a - 9598*y + 9597*y - 26 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878365?\nAnswer: 5, 175673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 35*n**2 - 10*n - 6. Let c be b(8). Is c\/((-1)\/2*-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56826, -56823, -56820, -56817, -56814, -56811?\nAnswer: -56808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 377, 2\/11, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 14) to base 7\nAnswer: -401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes after 3:44 AM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -37.8 (b) -3\/7 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6)*4\/(-6). Let y(w) = -4*w - 4*w + 42 + 9*w - 43. Let f be -2 + -2 + (-2)\/(-1). Let r(m) = -m**2 + 2*m - 2. What is f*y(k) + t*r(k)?\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40128, 40125, 40122?\nAnswer: 40119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-78)\/(-2))\/(((-164)\/3608)\/(2\/(-44))). Suppose 0 = 4*h + 12, -504 = -3*w - 4*h + 3*h. What is the highest common factor of d and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = s - 4*d, 2*d = 0. Suppose s = y - 2864398 - 1845602. What is y rounded to the nearest 100000?\nAnswer: 4700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 113980 and 18949175.\nAnswer: 75796700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -5, -0.56, 107.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 + -48. Let d(l) = -l**2 + 14*l + 31. What is the units digit of d(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -128 in decreasing order.\nAnswer: 12, 1, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*f**2 + 45*f + 38*f - 83*f.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.106 + 2939517.\nAnswer: 2939516.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2334*g**4 - 67683*g**3 - 359349*g**2 + 462*g = 0.\nAnswer: -22, -7, 0, 1\/778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(132)\/sqrt(4))\/(4*sqrt(12)\/sqrt(4)).\nAnswer: -5*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 10. Suppose -19 = -6*x + 35. Suppose k - u - 4 = 0, -1 = 2*u - 3. Put a, x, k in increasing order.\nAnswer: a, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/144 and -79\/128.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 PM and 8:09 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(136)*6*-6)\/(sqrt(968)*-2 - (1*sqrt(64))\/sqrt(8)))**2.\nAnswer: 22032\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.34 - -1.1. Let d = v + 0.2399977. Round d to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 74 + -70. Suppose 3*t + 5*l - 74 = 29, k*t = l + 122. What is the remainder when t is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (639 + 6593 + 3020 + 17*y - 15*y)*(-1 + 4 + 0)*(4 - 4 - 2) in the form d*y + x and give x.\nAnswer: -61512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p + 3*p + p. Let b(m) = 15 + m**2 - 15. Let y(i) = 5*i**2. Let s(c) = -6*b(c) + y(c). Give k(s(u)).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 223200.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/16)\/((-979)\/(-356))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1\/8, 2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(4*(4 + (-51)\/12))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/76 and -69\/866596?\nAnswer: 16465324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63387721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 408 = -2*k + 398 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = 5*u - 187. Let a = -16 + u. Solve 11 - a = -5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3054901013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 13*s**2 + 14*s - 15. Let t(c) = c**3 + 5*c**2 + 3*c + 27. Let l be t(-5). Let m be n(l). Solve -m*b + 8*b = 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*j + 129 - 97 = 0 for j.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -3\/2*u**2 + 8*u - 8\/3*u**3 - 1\/4*u**4 + 83. What is d(-7)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/11, 0.4, 424156?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1006150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4418 is divided by 4296?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 52 + -48. Suppose 5*m = -0*m + a*r - 76, r - 4 = 0. Let q = m + 54. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 312\/(-195)*(-30)\/(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 3 = 2, 20 = -4*r - 4*b. Let o = -1 - 1. What is the biggest value in r, o, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 4 (c) -1 (d) -0.1 (e) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a century in years?\nAnswer: 1140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*m - 29 = 3*b, 5*m = b - 11. Let t = -31 + 10. Let v = t - -20. Which is bigger: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -23*d**2 - 14*d + 12. Let h(r) = 24*r**2 + 12*r - 10. Calculate -7*h(b) - 6*t(b).\nAnswer: -30*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*40\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6888)\/(-8610))\/(2\/(-80))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 2*r + 10. Let b be y(0). Find the second derivative of 7*x - 148*x**4 - x + 148*x**4 + b*x**5 wrt x.\nAnswer: 200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*k**2 + 6*k**3 - 4*k**3 + 66369*k**4 - 3*k - 4*k**3 - 66370*k**4 as i*k + u*k**4 + y + t*k**3 + a*k**2 and give a.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3292018 a multiple of 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + (-5844)\/(-8) - (-1)\/2. Suppose t = 5*w + 34. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -baeed (base 15) in base 8?\nAnswer: -2210116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 17 = 5*n, -2*n = 5*t + 14 + 2. Let s be (-3*n\/18)\/(-1). What is the third biggest value in s, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/3 (b) -0.4 (c) 1\/61 (d) -1.2 (e) -5 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 13*j**2 - 4. What is f(-13)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.9 times -13.46?\nAnswer: 106.334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.854888016 to five decimal places.\nAnswer: -0.85489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*a + 30*a - 57. Let z be ((-3)\/(-2))\/(-3)*(-418)\/a. Is z bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 1. Suppose 25 = -5*a, -2*y + 0*y + 3 = -a. Determine x(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13147678 or 13147672?\nAnswer: 13147672","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*k - 100000. What is k rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 205 + -191. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23151*z - 10591?\nAnswer: -23151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*y - 42. Let z = y + 10. Let x(o) = o + 8. What is the units digit of x(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77 times 0.018\nAnswer: 1.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 - 4*c**2)*(3 + 16 - 20).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2804 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 683\/5 + -137. Suppose 0 = -73*h + 70*h + 9. Suppose h*t = -t + 7*t. Which is the third biggest value? (a) 4 (b) m (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:27 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 996 + -1001. Let i(j) = 5*j + 11. Calculate i(m).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -2464 (base 14) in base 11?\nAnswer: -4862","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 4*v**2\/7 - 149672*v\/7 + 149668\/7 = 0.\nAnswer: 1, 37417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 139458 divided by -69729.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 15 - 9. Let o be 1\/(j*3\/162). Let c be (-6)\/o + (-47)\/9. Sort 2, c, 13.\nAnswer: c, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-1)*11 - (-17 - (-50 - -27)). Let z(k) = k**3 + 30*k**2 + 55*k - 4. What is z(f)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in 6, 2\/5, -9175?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = z + 60. Suppose -3*x = -3*v - z, 0 = -0*v - 2*v - x + 4. Put v, -3, 1 in increasing order.\nAnswer: -3, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 115673 to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4 = -6, -2*m + r + 200 = 0. Let s be m - -2 - (-3 - -4). Suppose -s = -5*v + 165. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.359152 times -21.7\nAnswer: 7.7935984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - a - 1. Let r(n) = -3*n**2 - 2*n - 2. Let l(k) = -3*k**2 - k - 1. Let c(i) = -4*l(i) + 3*r(i). Let y = -38 - -41. Determine y*c(b) - 6*h(b).\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -3*d + 9, 3*d + 2*m - 8 = 2*d. Let j(l) = 7*l**3 - l**2 - 6*l - 6. Let w(u) = 3*u**3 - 3*u - 3. Let s(b) = -2*j(b) + 5*w(b). Give s(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 9*l = m + 7, -5*m = 5*l - 5. Let 3*t**2 + t**3 - 30*t**2 - 8*t**3 + 4*t**m = 0. What is t?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29c84d - -5?\nAnswer: -29c848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 4*(3 + sqrt(98)) + 1)*-6)**2.\nAnswer: 36288*sqrt(2) + 68112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - -12. What is the greatest common divisor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 3*w**2 + 6*w. Let h be n(-5). Let t = 35 - h. Calculate the remainder when t is divided by 2*((-14)\/(-35))\/(2\/20).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecch when four letters picked without replacement from {e: 1, c: 8, h: 11}?\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a + 23 + 67. Let p be ((-86)\/18 - -5)\/((-4)\/a). Let g = -19 - -17. Sort 2\/3, 6, p, g in increasing order.\nAnswer: g, p, 2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/3 + 9081*d - 27240.\nAnswer: -(d - 27240)*(d - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 68, -5\/9, 1\/13, 2\/5, -16\/19 in descending order.\nAnswer: 68, 2\/5, 1\/13, -5\/9, -16\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2852 or 2847?\nAnswer: 2847","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 0.2. Let c be (1 + 4\/(-12))*2\/8. Sort 4, p, -1\/3, c.\nAnswer: p, -1\/3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 - -108. Calculate the greatest common factor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = 2*f + 15, 5 = 5*q - f. Suppose q = 6*y + y - 56. Suppose -3*t + t + y = 0. Which is smaller: 12 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*a**2*f*i + 31*a**2*f - 2*a**2*y - 2*a**2 - 2*a*f*y + 272*a*i*y - a*y wrt f?\nAnswer: -3*a**2*i + 31*a**2 - 2*a*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or -976\/89?\nAnswer: -976\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 11)*-15*(-2)\/(-50) + 12. Solve -5*g = -n*j + 10*j - 41, -4*g - 3*j + 32 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 - -81. What is the highest common factor of 9 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28841616641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-169)\/3 - 1)*51\/(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 59 + -58.6. Let o = -2.03 - -0.03. Let c = -3 - o. What is the closest to 1 in c, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 957*u + 12720. Determine a(-12).\nAnswer: 1236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 - -12. Let b = -11\/1191 - 96317\/16674. What is the common denominator of (k\/2*327)\/(-9) and b?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 204 + 50 + 42 - 82 + 91 + 134*j. Let n(g) = -27*g - 61. Let u(r) = -2*d(r) - 11*n(r). What is the derivative of u(f) wrt f?\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.375, 0.1, 9 in descending order.\nAnswer: 9, 3.375, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 118*l - 2004. Determine k(17).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23151b - -212?\nAnswer: 231731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 + -48. Let p(w) = 13*w**2 + 2*w - 3. Let z be p(n). Let v be (7*2\/(-4))\/(6\/z). Which is smaller: v or -6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 5, -4, -3, 3 in descending order.\nAnswer: 5, 3, -3, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7728*k - 13258*k - 6934*k - 10297*k to the form v + z*k and give z.\nAnswer: -22761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2833, 2818, 2807, 2800, 2797, 2798?\nAnswer: 2803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 49?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -343*v + 49. Let f be x(-8). Calculate the common denominator of -53\/70 and (-1)\/3*f\/(-76).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 - 19. Let v(u) = -u**3 + 8*u**2 + u - 5. Let p be v(l). Suppose -p*r - 385 = -8*r. Calculate the greatest common divisor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 - 36*n**3 - 160*n**2 + 36*n + 162.\nAnswer: -2*(n - 1)*(n + 1)*(n + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2984.1063 to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218181 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1890799 is divided by 10276?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 1962 = 203*w - 8250, -w = 3*w - 79 - 45 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -13*v - 5. Let n be z(-5). Suppose -3*b - 70 = -2*g, 6*b - 2*b + g + 75 = 0. Let m = n + b. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 7, c: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1474, -2928, -4362, -5770, -7146?\n\"Answer: m**3 + 4*m**2 - 1473*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*v**5 - 6*v**5 + 0*v**5 + 4*v**2 wrt v?\nAnswer: 180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.738 - -1.8. Let m = n + 0.938. Let y = 0.1 - 0.1. Which is the second biggest value? (a) 2 (b) y (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 18*x. Let r be u(-14). What is r rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/9)*i*i**(-2)*i)\/(i**8*i**(-4\/3)))\/((i**(-2))**30\/(i*i\/i**(-4)*i*i**7\/i)) assuming i is positive.\nAnswer: i**(605\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 25. Let c = y + -17. What is the highest common factor of 275 and c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**2\/4 - 7441*w\/4 - 705405\/2 = 0.\nAnswer: -185, 7626","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/1158 and 49\/1158.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 times 0.9?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert a672 (base 15) to base 2.\nAnswer: 1000100110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z**(-4\/5)*z*(z*z**(3\/4))\/z*z**(2\/49)\/(z*z*z**18) assuming z is positive.\nAnswer: z**(-17649\/980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 8*r**2 + 2*r - 12. Suppose -19 = -3*m + 5. Let n be a(m). Suppose 11*x - 30 = -4*x. Calculate the highest common divisor of n and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 + -11?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -24, 0.9, 15?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2560134 is divided by 319998?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 2\/3 (c) 100 (d) -4\/83 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((2*sqrt(91) - sqrt(91))*-3 - sqrt(91)))\/(-2*sqrt(77)\/sqrt(44)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9331*x - 9336*x = -31620. Is x a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*a - 4, -5*a = -2*b - 0*b - 6. Let m be ((-1)\/2)\/(b\/(-24)). Suppose 2*x - 19 = 5*h + 2, h - m = -3*x. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 289a220?\nAnswer: 289a223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 4 - 3 + 9. Let r be t(0). Suppose -r*b - b = -6. Solve 0 = -6*j + b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lxggggggxggxgxxggxg. Give prob of sequence gxlg.\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 15. Suppose -3*v + 60 = v. Let w be t(v). Let u(i) = -4*i**3 - i**2 - i - 1. Let l be u(-1). Solve l*m + 12 = w, -3*k - 10 = -k + m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 + 14*w - 44. Let n be r(-17). Solve -n = -g - 4*c - 20, 10 = 2*g - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*k*p**4 + k*p**2 - 4*k*p*s + 4*k*p + 2*k*s - p**3*s + 5*p*s wrt p.\nAnswer: 168*k*p**2 + 2*k - 6*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxxx when four letters picked without replacement from {x: 4, h: 4, v: 1, b: 1, r: 7}?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000073485 rounded to 7 decimal places?\nAnswer: 0.0000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/7 + 13670152*w\/7 - 41010447\/7.\nAnswer: -(w - 13670149)*(w - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (2 - ((2 - 4) + 8)) + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -365 - -491. Calculate the remainder when g is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53546320511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**10*f)\/(f*f\/(f\/(f*(f*f**(2\/25)\/f)\/f))*f*f*f))**(-9\/2)\/(f*f**(-1\/12)*f*f**(-7)*f**(2\/5)*f*f*f\/f**6) assuming f is positive.\nAnswer: f**(-8387\/300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 8698, 1, -5 in descending order.\nAnswer: 8698, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -5*b**2 + 4*b - 7. Let z(u) = 2*u**2 - u + 2. Determine -2*x(t) - 7*z(t).\nAnswer: -4*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3665647 to the nearest integer?\nAnswer: 1915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1374 = 2*z + 4*s, 4*s - 5420 = -5*z - 2009. Calculate the smallest common multiple of 21 and z.\nAnswer: 2037","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22680319.09377 + -22680195. Let o = 124.1 - v. Round o to 4 decimal places.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**2\/7 + 545091*h\/7 - 35989074\/7 = 0. What is h?\nAnswer: -181763, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*q**4 - 3*q**4 - 2*q**4 + (-6*q**4 + 4*q**4 + q**4)*(-3 - 2 + 3).\nAnswer: -14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooyqeeeoqwoc. What is prob of sequence ooc?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20400 divided by 50\nAnswer: -408","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 2*m = 8, 3*h = 8*h - m for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300)\/(sqrt(6) + sqrt(54)\/sqrt(9)) + sqrt(50))\/(-5*sqrt(1000)))**2.\nAnswer: 9\/2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*g**3*j**2 - 2*g**3*j*k + 9000058*j**2*k - 5001*j**2 + 7*j wrt k.\nAnswer: -2*g**3*j + 9000058*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 652027.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*(3 + 0 - 5)*(-7*p**3 + 10*p**3 + 7*p**3).\nAnswer: 40*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1386)\/(-1078)*2\/6\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 111 and -21.\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 172746.5?\nAnswer: -172750.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = -6*q - 1330. Let c = q + 268. Solve -i = -3*b + 4*i + 29, -2*i - 23 = -c*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by 7?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 10:17 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 1707 and -384180 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*y + 4486 = 0, 41*y = 38*y - 12. Calculate the remainder when a is divided by 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 0*n + 9*n - 70*n**2 - 5*n**3 - 2 + 6 + 80*n**2. Let u(f) = f**3 - f**2 - f - 1. Let i(k) = 6*u(k) + v(k). What is i(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 - (-2 + 5 + -1 - 9) - -5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (27\/(-6) - -5)\/(12 - 11750\/980). Solve -5 = -a*g + 44*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mummmmummmm. Give prob of sequence uu.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 AM and 11:23 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 1299, 4506, 10815, 21276?\nAnswer: 36939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f + 19. Let d be w(13). Suppose 2*o - d*o = 0. Suppose o*c - 5*c - 75 = -5*y, -4*y + c = -60. Calculate the greatest common factor of y and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12)*(d*d**(-3\/5))\/d)\/(d**(-1\/4)\/d**(-9)) assuming d is positive.\nAnswer: d**(-427\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 22*a**2 + 45*a + 52. Give r(20).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -381171 (base 12) to base 3.\nAnswer: -1201110020111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -0.32, -1, -0.4 in ascending order.\nAnswer: -1, -0.4, -0.32, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -18797 (base 11) in base 14?\nAnswer: -97c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 35. Is a\/(2\/6) + 118 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -3*x**3 - 26*x**2 - 15*x + 14. Let n be z(-8). Let p be -6*(9\/n)\/(-3)*1. Solve 2*c - 20 = -4*f - c, -p*c = -5*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87722.\nAnswer: 2, 23, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/13176087?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/10)\/(2\/(-10)). Let y(k) = -k**3 - 2*k**2 + 2*k - 3. Let a be y(-3). Suppose a = -r - 5*r. Sort i, r, 4.\nAnswer: r, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/12*6\/10. Suppose 0 = x*u - 6*u + 48. Suppose 6*l - u = 3*l. Solve l*b - 4*s + 10 = 38, -b = 2*s - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (4 - 3 - -1) - 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 8*n**2 - 14*n + 3. Let q be l(-6). Let s = -14 + q. Sort 2, s, 8 in descending order.\nAnswer: 8, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/6*-2*9. Let w = r - 2. Suppose 2*i - 17*i = -135. What is the remainder when i is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**4*q - 7*p**3*q - 12880*p**2 - 2*p*q - 621992*p wrt p.\nAnswer: -24*p**2*q - 42*p*q - 25760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94307736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-85)\/68 - 9\/(-4). Let n(r) = -1. Let z(l) = 13*l + 7. Let q(u) = -6*n(u) - z(u). Determine q(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 3*n**2 + 0*n**2 - 405*n.\nAnswer: -2*n**2 - 405*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 1. Let n(c) = c**2 + 10*c + 12. Let u be n(-8). Let y be 6\/4 - 2\/u. Let a be (0 + -1)*(-2 + y). What is r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14464247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 40 + 9 = -5*a, -a + 5*m - 17 = 0. Let s be ((-1)\/a)\/(2\/54). Let j(y) = -2 + y + 42*y - 41*y. Let c(q) = 8*q - 9. Determine s*j(w) + 2*c(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 16 = -12*m. Which is bigger: -1\/93 or m?\nAnswer: -1\/93","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 120 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**8\/168 - 5*b**7\/7 + 32*b**6\/3 - 196*b**5\/3 + 220*b**4 - 1328*b**3\/3 + 17*b**2 + 16. Factor z(r).\nAnswer: -2*(r - 2)**4*(r + 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, 7, 187578, 1 in increasing order.\nAnswer: -9, -5, 1, 7, 187578","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 392 - 128. Is b a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -687501*b**3 + 3*b**2 - b - 2. Suppose y - 8 = 3*w, -6*w + 3*w = 4*y + 13. Let u = w - -5. Let z be k(u). Round z to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*z**2 - 207*z + 207*z.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**15)**(1\/50))**(-2\/7) assuming f is positive.\nAnswer: f**(-3\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 2:08 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 5 - 3 + 21*z - 23*z. Give p(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + 4*k**2 - k - 3. Let p be q(3). Let h(y) = -2 + y + 4*y**2 - 3*y**2 + p. List the prime factors of h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 4 = -5*b. Let j(c) = 2*c + 3. What is j(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*m + 927*m - 387*m = -780*m + 14880 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (21\/14)\/((-6)\/(-100)). Let g = 28 - m. Suppose 14 = g*f - 2*n, -2 = n + n. Solve -2*v + 5 + 13 = 5*t, f*t - 28 = -5*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 145 or 241?\nAnswer: 241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + 4 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 2*m + 1342 + 4*m.\nAnswer: 2*m + 1267","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (330*w - 705*w - 630*w)*(2 - 6 + 2)*(5*w**2 + 6*w - 6*w) to the form d*w**3 + m*w + q*w**2 + s and give d.\nAnswer: 10050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5437245 (base 8) in base 9?\nAnswer: 2661680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 22*m**2 - 11*m - 11. Let h(a) = 88*a - 29*a - 7*a**2 - 27*a - 28*a + 4. Let q be 69\/6 - 3\/6. Calculate q*h(r) + 4*f(r).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7596, -7534, -7472?\n\"Answer: 62*c - 7658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (j**2 + 2*j - 2*j + (-13*j + 8*j - 6*j)*(-1 + j + 1))*(-j + 3*j - 5*j) in the form m + q*j + s*j**2 + p*j**3 and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-82) - (-138600)\/(-193725).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 2*g - 17. What is the remainder when i(5) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by -127?\nAnswer: 27\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -72136 in -4, 0.5, 1\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/336)\/(36\/882)*130\/7.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44, -218, -680, -1574, -3044?\n\"Answer: -24*o**3 - 6*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4312.\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 57083343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68874286 to the nearest integer?\nAnswer: 8299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11)\/(-2) + -9 + (-272)\/(-32).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-30)\/8 + 2)*4. Suppose 3*l + 3*f = -2*f - 2, -3*l - 4*f = 7. Let w = -14 - l. Sort i, w, 0 in descending order.\nAnswer: 0, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = 2*d - v, 3*d - v - 2 = 0. Let m be (((-54)\/(-21))\/(-6))\/((-81)\/756). Solve -z - m*i + 14 = d, -z - 3*z = -5*i + 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 - 2*q**2 + 5*q**2)*(-48*q**2 + 292*q**2 + 370*q**2).\nAnswer: 1842*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 561 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*n**3 - 811*n**2 - 33216*n wrt n.\nAnswer: -12*n - 1622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**2 + 108515*p - 108515*p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 672 or 671?\nAnswer: 671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 292? (a) 0.3 (b) 1\/7 (c) 0.2 (d) -2\/15 (e) 23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3*(-8)\/60)\/(-5)\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 687920 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27868710, 27868720, 27868730?\n\"Answer: 10*y + 27868700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*w + 5*o, 5*w = o - 0*o + 11. Is 16 a factor of 3 + (w + -2)*41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 486 is divided by 329.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + -16. Let r be 50*114\/(-10)*k\/12. Round r to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/208 and 133\/234.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 162632.799 minutes?\nAnswer: 16.13420625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -305 - -791. Suppose 0*g - y - a = -2*g, -3*y + 12 = 0. Suppose 0 = -h - 4*h + g. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*o + 19*o - 5*o to the form c + m*o and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3047104, 6094205, 9141306, 12188407, 15235508, 18282609?\n\"Answer: 3047101*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16 - -10. Let u(n) = n**3 + 7*n**2 + 3*n + 9. Calculate the remainder when u(y) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**5\/60 + 2*f**2. Let y(u) = u**2. Give y(p(h)).\nAnswer: h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 317056?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 divided by 10?\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 6*v**2 - 2263*v + 2603. What is h(376)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11298 - 57504 = -2020*h + 12374 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/5)\/b**4)**(-8)*(b**(2\/15)*b\/(b\/b**2))\/(b*b**0)**(-3\/7) assuming b is positive.\nAnswer: b**(3797\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 3\/(3\/(-2))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12876626 is divided by 390?\nAnswer: 386","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*w + 543*w + 1681 = -1649 for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10667894191658+-4\nAnswer: 10667894191654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/10, 2, 3\/2, 46, 0.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d + 2. Let s be q(-3). Let h = -5.1 + 5.3. Put -2\/9, s, h in ascending order.\nAnswer: -2\/9, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-36)\/(-16))\/((-1)\/(-4)). Suppose -z + 26 = 4*a, 4*z - x = 2*a + a. Let p = z + -4. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 28*w**2 + 4*w - 45. Does 23 divide q(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 7*z + 5. Let r be a(3). What is the second derivative of -15*c**2 - 26*c - 5*c**r + 7*c**2 - 8*c**2 wrt c?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -605.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 486988615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(40))*5)\/(-6*(sqrt(2) + sqrt(50)) - sqrt(2)).\nAnswer: 5*sqrt(5)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 - 95. Calculate the remainder when 99 is divided by s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**3 + 460*h**2 + 2*h - 169. What is b(115)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 3*s**2 + 7*s - 12. Let p be f(5). Let d = -33 + p. Calculate the least common multiple of 93\/12 + 4\/16 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1744 = -432. Let y = o + -13043\/10. What is the common denominator of y and 65\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38 + 46. What is the greatest common divisor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 54*o + 24*o - 40*o + 20 - 41*o. Give b(12).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 35318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlbjlljjjjqeqxql. Give prob of picking 1 b, 1 x, 1 q, and 1 e.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1318353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 28*f**3 - 70*f**2 + 56*f. Let a(x) = x**3 + x. Let m(n) = 168*a(n) - 3*g(n). Find the third derivative of m(l) wrt l.\nAnswer: 504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000269582 to 7 decimal places.\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1630.3 - -23.709715.\nAnswer: -1606.590285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 1, 5, -6, -20367, -2, 3 in decreasing order.\nAnswer: 33, 5, 3, 1, -2, -6, -20367","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 105*v**3 - 5*v**2 + 71*v - 166. What is the thousands digit of i(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2223013?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 10. Let f be m(6). Let j(t) = -2*t**2 - 2*t - 1. Let x be j(f). Let v = 17 + x. Solve -36 = -0*y - 5*y - v*s, 5*y - 8 = 3*s for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 2032.\nAnswer: -19\/2032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.199 + 0.001. Let r = -5.2102 + x. Round r to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t - 15. Let v(d) = -3*d + 13. Let z(a) = 4*v(a) + 3*w(a). What is z(-4)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*t**2 - 73*t**2 + 24*t**2 + 26*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - -12. Suppose -20*o + 678 = -m*o. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 - 75 = -9*u. Which is bigger: u or 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/18 + (-290962)\/(-126) 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 36 and 2922.\nAnswer: 17532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -633*w - 5015 = 7645 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - (-214)\/(-14))*21 + -7 + -15 + 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = 29*q + 82 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4002 divided by -46\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 2*r + 2. Let y be b(-3). Let s be y - (-1)\/(-2)*8. Are 2\/7 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j**2 + 7*j. Let t(b) = -5*b**2 - 3*b. Suppose 4*z - h = 8, 0*h - 3*h = 5*z - 27. Give z*d(x) + 7*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 154, 311, 468, 625, 782, 939?\n\"Answer: 157*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*z - 0*s + 5*s, -s - 12 = -3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4346 + -7?\nAnswer: 4337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 25. What is the tens digit of 116 - (-5 + 15\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100240 by -14320.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177835 is divided by 55467?\nAnswer: 11434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 7. Give a(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a*a\/((a\/(a*a*a**1))\/a*a*a))))**(2\/105)*a*(((a**(-4)\/a*a)\/a*a*a)\/a)\/a*a\/a**0)\/(((a\/(a**(-1\/3)*a)*a)\/a)**12)**(1\/2) assuming a is positive.\nAnswer: a**(-521\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87641 is divided by 75?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8556.4022 - 0.\nAnswer: 8556.4022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(t**3 - 3*t**3 + 0*t**3) + (2*t**2 - 3 + 1 + 0*t**2)*(3*t - 5 + 5).\nAnswer: 10*t**3 - 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123872, -495378, -1114554, -1981400, -3095916, -4458102?\nAnswer: -6067958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1280)\/12 + (-12)\/9. Let w = l + 199. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 108 = l. Let y = 47 - l. Let u = y + -58\/3. Is 0 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*o**3*u + 12*o**2*u + 1403*o*u**3 - 1439285*u**3 wrt o.\nAnswer: 24*o**2*u + 24*o*u + 1403*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00020839557 to 5 decimal places.\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1365 * 0.04.\nAnswer: 54.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate l*t**2 + l*t - 1666*l - 2019*t**3 - 6*t**2 + 33 wrt t.\nAnswer: 2*l*t + l - 6057*t**2 - 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/138 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -5*f - 6 - 1\/4*f**4 - 5\/3*f**3 - 1\/2*f**2. Determine t(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b = 131 + 621. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 - (24\/(-3) - -1). What is the hundreds digit of c\/((6 + -8)\/((-280)\/4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8296 + -0.4\nAnswer: 8295.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58945*u**6 - 4053*u**2 + 3.\nAnswer: 7073400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 109\nAnswer: -10.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6*v**2 + 3*v + 3. Let r be d(-7). Let l = r + -37. Suppose 0 = -4*z + 4*b + 316, b - 3*b - l = -3*z. What is the greatest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2501\/(-1220) - 13\/(-4).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -5*o + 80 + 67, 21 = o - 3*a. Solve -1202*i + o = -1207*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -11aaf92?\nAnswer: -11aaf90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 842\/14 + (3 - 14) + 76\/7.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q**2 - q - 1. Let v(m) = -6*m**2 + 5*m + 1. Let a = 979 - 983. Let y(u) = a*v(u) - 4*w(u). Solve y(r) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5375 - 5375 + 360*v**2.\nAnswer: 360*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 - 24*y**2 - 56*y.\nAnswer: 2*y*(y - 14)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-152*o + 336*o + 153*o)*(-4*o**2 - 3*o**2 + 5*o**2 + 0 + 0) as m*o**2 + u + i*o**3 + b*o and give i.\nAnswer: -674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 24. Let w(p) = -146 + 6*p + 99 + 22. Give -3*w(g) - 4*z(g).\nAnswer: 2*g - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - 11104014?\nAnswer: -11103455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p = 6*p + 202. Let v = 175 - p. Suppose -5 = 3*r - v. Calculate the remainder when r is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a7 + 25da?\nAnswer: 2533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3154*v**3 - v**2 - 37*v - 104 wrt v.\nAnswer: -18924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-11) + 490\/154. Suppose -4*o + 675 = c*p, -2*o + o = -2*p - 166. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 2*s + 138. Let n(m) = -6*m**3 + 11*m + 690. Determine 4*n(t) - 22*z(t).\nAnswer: -2*t**3 - 276","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (-2 + -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + -120.9048.\nAnswer: -129.9048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 14, 21, 24, 17, -6, -51, -124?\n\"Answer: -t**3 + 4*t**2 + 2*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/6)\/((-30)\/18)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 11. Let x be u(-8). Suppose 19 = 2*m + x*o, -6*o + 4*o = -2*m - 6. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*n - 8, -67*n = -63*n - 5*f + 69 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131 or 69881\/531?\nAnswer: 69881\/531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 1:26 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/3 in -1\/42, -5, -1?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4233*s**2 - 57*s + 2158. Let p(v) = -1411*v**2 + 18*v - 719. Let w(g) = -6*o(g) - 19*p(g). Differentiate w(z) wrt z.\nAnswer: 2822*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560834125?\nAnswer: 5, 4486673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109679, 109680, 109681, 109682?\nAnswer: 109683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 18 - 53 = 0. Let y = -5 - t. Suppose -48 = y*o - 182. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -w - 8, -4*g - 2*w + 3 + 29 = 0. Suppose -6*z = -g*z + 84. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/7 - 1650*o**2\/7 - 1653*o\/7.\nAnswer: 3*o*(o - 551)*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b + 281 - 61 = 0. Suppose -b*t + 4 = -26*t. Sort 0, t, 2, 101 in descending order.\nAnswer: 101, 2, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 50*c**2 - 67*c - 203. List the prime factors of l(46).\nAnswer: 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 5*h**3\/3 + 5*h**2\/2 - 10*h. Let i(n) = -11*n - 6. Let g(x) = -5*i(x) - 6*t(x). Let c(m) = -2*m. Determine g(c(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1.69 (b) -0.4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = k, 0*k + 824 = 5*q + 2*k. Is 8 a factor of -2 + 5 + 1 + q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p**3 - 980*p**2 + 41*p + 4019. What is i(-98)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5552?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1547742001 to the power of 1\/5, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3920 and 628670.\nAnswer: 5029360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 4:16 AM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 0, 6, 2 in decreasing order.\nAnswer: 10, 6, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 13) to base 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m + 10*m + 4 - 3*m**3 - 14*m to the form d*m**3 + y*m**2 + r + l*m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + -0.5. Let i = -13 - -17. Let a(y) = -y**2 + 5*y + 6. Let v be a(-1). What is the third biggest value in v, i, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*k**3 - 129712*k - 210961?\nAnswer: -12*k**2 - 129712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 10*k**2 - k + 13. Let b be q(10). Let u(i) = b*i - 3*i - 3*i + i. Let d(y) = 2*y + 2*y - 2*y. Give d(u(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, e: 3, g: 5, y: 5, s: 1}. What is prob of sequence gyys?\nAnswer: 5\/3672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.78 + 1.88. Which is greater: 0.9 or u?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.12 + 1.51. Let j = n + -0.59. Let c = 1 - 1. Are j and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*q + 0 = 18, 5*i - q = 19. Suppose i*f - 18 = -6. Solve w = -4*t - f, -2*w + 6*t - t = -5 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 546.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**31\/((f*f\/f**4)\/f) assuming f is positive.\nAnswer: f**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.241 + 12.117?\nAnswer: 12.358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together 21781.866 and 0.18.\nAnswer: 21782.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95037422 to the nearest integer?\nAnswer: 9749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37 - 112*p**4 + p - 101*p**4 - 99*p**3 + 211*p**4 wrt p?\nAnswer: -24*p**2 - 594*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 15 - 16 + 1.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2063776399?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 10 = 8*k. Suppose -18 = -k*y + y - 4*p, 3*y - 3*p = -6. Solve 5*z + y*r + 23 = 2, 3*z = -r - 13 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(-29)\/(d**12*d**(-10)*d*d) assuming d is positive.\nAnswer: d**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/3 + (-6)\/(576\/10337144). Let j = s - -108840. Let m = -1139 + j. What is the common denominator of m and 73\/42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3471213049160 - 0.1?\nAnswer: -3471213049160.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 392 = -4*a, 0 = -5*a + 6*a + 2*y - 101. Let b = 928 + a. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3.1, 3\/4 in decreasing order.\nAnswer: 3.1, 3\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*y + 0*y - 4*y + (3*y - 5*y + y)*(-1 + 4 - 2) - 6*y - 1636 + 1636 + (2 - 4 - 6)*(4*y - 6*y + 0*y))*(-2 + 3 + 0) to q*y + n and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109960, 109333, 108706, 108079?\nAnswer: 107452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 623*c - 2275. Determine r(4).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3*a**2 + 2*a - 6. Let k(w) = 6 + w**2 + 4*w**2 + 0 - w - w**2. Let m(s) = -2*k(s) - 3*o(s). Give m(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*w)*(-23885*w**2 + 23880*w**2 + 6*w + 4 - 14*w).\nAnswer: 10*w**3 + 16*w**2 - 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2. Let g be ((-303)\/(-27) + -11)\/(1\/9). Suppose -6 = -2*s - 0. Let m(x) = s*x**2 - 5*x**g + 0*x**2. Determine y(m(t)).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -13 + -1 - -2 - (679 - 330 - 315)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (233 - 229) + (5 - -12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(85)\/sqrt(5)*-3.\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 220 or 221?\nAnswer: 220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31\/6 + -11\/3. Let v(n) be the first derivative of 1 + 2*n + o*n**2. Determine v(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 3, 116, 162, -3 in increasing order.\nAnswer: -5, -3, -1, 3, 116, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -40.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 7:19 AM?\nAnswer: 1:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6 and (6\/(-28))\/((-1)\/(-18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c + 3. Let m(s) = 6*s**2 - 2*s + 35. Give 4*l(n) - 2*m(n).\nAnswer: -8*n**2 - 58","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 65 = 3*f - 3*d, -4*f + 55 = -5*d. Suppose j = -5*w + 20, -f*j + 5*w = -25*j. Let t(v) = -v**2 - 2*v + 11. What is t(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 250609383?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = 2. Let a = n - -5. Calculate the remainder when (-4)\/(-28) - 76\/(-7) is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 448 = 120*h + 104*h. Solve 0 = s - 5*t + 7, -6 = h*s + 5*t - 7*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 155 and 753765.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2 + 103305*f - 21094542 = 0.\nAnswer: -34638, 203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b + 23. What is the units digit of p(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-20)\/(-30)*8?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*u - 10 = 0. Suppose 0 = -2*g - 8, f + g + 0 + 3 = 0. Suppose -2*m + 5 = f. Put m, u, -1 in decreasing order.\nAnswer: m, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220272592 is divided by 2860683?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(14\/5)*((z\/z**(-32)*z)\/z)\/z assuming z is positive.\nAnswer: z**(174\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -4. Let r(h) = 2*h**2 - 2*h**2 - h**v. Let l(f) = -3*f**2 + 14*f**2 - 12*f**2. Give r(l(u)).\nAnswer: -u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 629 + 125. List the prime factors of b.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 69.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7988*p. Let z(v) = v**2 - 17. What is q(z(g))?\nAnswer: 7988*g**2 - 135796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1278 and 426?\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 3\/8 (b) 0.5 (c) -4\/3 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 93*v**2 - 6*v + 11. Let s(h) = 31*h**2 - 2*h + 4. What is -4*r(q) + 11*s(q)?\nAnswer: -31*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 smaller than 1160\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 21705089?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, w: 5, m: 3, f: 7}. Give prob of picking 3 w and 1 e.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -27*u**3 - u**2 - 2*u - 2. Calculate the remainder when m(-1) is divided by -3 + (-18)\/(-3 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 172689*a + 12260919. Calculate j(-71).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -129*l. Let g(j) = -j + 0*j + 3*j + 0*j. What is g(p(a))?\nAnswer: -258*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -6*l**3 - 9*l**2 - 9. Let u = 6 - 15. Let j(q) = 3*q**3 + 4*q**2 + 4. Give u*j(i) - 4*t(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/5 and (-6)\/(-32)*(-2414)\/51.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -97 + -141?\nAnswer: -1d8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/r**(-12))*r**(-6\/7)*r*r*r assuming r is positive.\nAnswer: r**(-69\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 656944\/112398 - 20\/130. Let y be 40\/(-131)*(-6 + (-66)\/(-4)). Let a = f + y. Find the common denominator of 91\/24 and a.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -461416 (base 8) in base 9?\nAnswer: -257521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**2\/2 - 68352*h - 136703\/2 = 0 for h.\nAnswer: -136703, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8 = 3*w. Suppose -2*p = g + w, -2*p - 2 - 2 = 2*g. Let a be -11 + (4 - (g + 4)). Which is smaller: -6 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 26000 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35? (a) 0.5 (b) -2 (c) -0.139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.5, -1, -0.2, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78335*n - 78334*n = 4*r - 11, -1 = -3*n - 5*r for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + -5. Let q = 16 + o. Suppose 3*c = 9 - q. Solve c*m - 22 = -5*y, -4*y - 13 = 5*m - 41 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Let w(g) = g**3 - 8*g**2 + 5*g + 6. Let i be w(6). Let c be (-10)\/i - (-1)\/(-2). Which is greater: c or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 410, 1436, 3432, 6722?\nAnswer: 11630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 1787341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f**3 - 8*f**2 + 11*f + 20. Let m be h(-3). Which is the smallest value? (a) 0.1 (b) 17 (c) -0.1 (d) -0.04 (e) m\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, p: 3, l: 6}. Give prob of sequence llpl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 2)*(-1 + 0 - 2)*(358*o**4 + 31*o**5 - 358*o**4).\nAnswer: 93*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*z - 5*z. Let h = 3 - z. Suppose 5*i - h*i = 165. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*b**4*d - b**3*d + 9*b**3 + 4*b*d - 3*b - 25*d - 18 wrt b?\nAnswer: 2964*b**2*d - 6*b*d + 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -12473*m + 12473*m + 4*m**2. Let s(t) = -6*t. Determine q(s(j)).\nAnswer: 144*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 100 and 8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -24, -35, -46, -57, -68?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9679 + 18791. Does 32 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and -1 - 3 - (-13)\/((-156)\/(-72)).\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5 = -f + 22, 50 = -4*c - 2*f. Let x = -9 - c. Solve -4*p - x*i - i + 8 = 0, -5*p + 2*i = 23 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*k**4 + 5*k**3*z + 1036*k**2*z - 2 wrt k.\nAnswer: 240*k + 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**3 - 4*r**2 + 3. Let o(d) = 8*d**3 + 9*d**2 - 6. Suppose 20*c = 15*c + 45. Let u(h) = c*a(h) + 4*o(h). Differentiate u(q) wrt q.\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from {j: 1, s: 1, c: 1, o: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48759?\nAnswer: 3, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 18225*h - 5627. Is 76 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -3*w + 32*i - 34*i, -5 = w - 5*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*g - 4462 + 26*g**2 + 4370 - 15*g to the form t*g + a + i*g**2 and give a.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 - -88025\nAnswer: 88024.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20686700 is divided by 1262.\nAnswer: 1258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (4 - -10) - 3. Suppose -74 = -2*k - 2*m - u, -k + 16 = 5*m. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 1:27 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n**4 + 0*n**4 + n**4 + (n - 1 + 1)*(-n**2 + n**2 - 2*n**3) - 169*n**3 + 3*n**4 + 169*n**3 - 3*n**4 + 58*n**3 - 58*n**3.\nAnswer: 2*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1733 + 1726. Let u(c) = -3*c**3 - 7*c**2 + c. Let g(v) = -v**3 - 2*v**2. Calculate p*g(r) + 2*u(r).\nAnswer: r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i + 2*i - 9 + 5)*(i**2 - i**2 - 2*i**2).\nAnswer: 4*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 - 11*z**2 + 2. Let t(d) = -9*d**3 + 23*d**2 - 4. Let m(n) = -13*i(n) - 6*t(n). Find the third derivative of m(p) wrt p.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/((-2)\/9). Solve -j - 18 = 4*l, -3*l + p - 22 = -2*j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -1. Let k(r) = -3*r + 1. Let f be k(n). Let o be (6\/(-5))\/((-3)\/f). Solve -y - o*y = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-4296)\/3759)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 6*t - 5. Let r be d(4). Suppose r*q - 25154 = -v, -5*v + 148768 - 23063 = 2*q. Suppose 4*c + 8339 = v. Round c to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(19\/114 - (-298)\/12). Suppose 0 = -t*f + 31*f - 714. List the prime factors of f.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2566 is divided by 173.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40598913?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10665, 21466, 32263, 43062, 53869, 64690, 75531?\n\"Answer: z**3 - 8*z**2 + 10818*z - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-42) - (-1462)\/(-357) - (-13 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 91.9 and 0.85785.\nAnswer: 78.836415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281 = -32*u + 7 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*k - 42867 = -749*k for k.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 43*u - 49*u - 26*u.\nAnswer: -122*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*p - 4*u, -p + u = -0*p + 5. Let i = p - -6. Suppose -2*h - 4 = i, -4*f + 31 = -3*h. Solve b - 2*b = f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 669 is divided by 97.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 e when four letters picked without replacement from hdvde?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73*1744\/(-238710))\/(12\/5).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/4 - 27*a**3\/4 - 137*a**2\/4 + 615*a\/4 - 225\/2 = 0. What is a?\nAnswer: -15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of 5*u**4\/2 - 4*u**3\/3 + 23*u**2\/2 + u - 263. Find the second derivative of v(l) wrt l.\nAnswer: 60*l - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6\/(-9))\/((-50)\/(-525)) - -83. Solve -s = 18*s - j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**6)**0\/(k*k*(k*k**(-5\/4))\/k)**(3\/14))**(-19) assuming k is positive.\nAnswer: k**(171\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 51021, 110485, 169949, 229413, 288877, 348341?\n\"Answer: 59464*n - 8443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48730 = l - 16448. Let v = 82282 + l. Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfglmtx. Give prob of sequence xlf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11830 + -0.4?\nAnswer: 11829.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5 + 12)*(6890\/(-1715) - -4))\/((-384)\/(-3360)).\nAnswer: -15\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/(5 + -17)*0. Is b equal to 3\/214?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*o + 9*o = -664. Which is bigger: 82 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 702\/(-9) + 0 + 1. Let v(q) = -5*q**2 + 11*q + 64. Let s be v(-5). Let z = p - s. Does 13 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*a - 6317676 = -147*a - 25*a. Is 37 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**8\/6720 + z**7\/1260 + z**6\/720 + 7*z**4\/12 - 5*z. Let m(y) be the third derivative of l(y). Determine m(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6804*c - 20004*c - 18547*c - 7324*c to the form y*c + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -71*a - 52*a + 121*a. Let q(b) = -b**2 + 69*b. Calculate k(q(x)).\nAnswer: 2*x**2 - 138*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51959\/12 + 4333. Find the common denominator of n and 19\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264)*-1 - sqrt(264))\/sqrt(12))\/sqrt(2).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -7. Let g = -0.3 - w. Let y = -0.24 + 0.24. Is y at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4*z - 784 = 0, -2*y + 5*y = 2*z + 1208. Let m be ((-4)\/(-8) - -2)*y. What is m rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + (sqrt(1300) - (0 + sqrt(1300))))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(3\/4)\/(c\/(c**0\/c)*c*c)*c**(-2)*c*c**6)**(-4\/15) assuming c is positive.\nAnswer: c**(-7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 406*b - 30228. Give v(73).\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7041 and 396.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 378 - 431.2. Let n = y + 45.2. Which is the nearest to n? (a) 1 (b) 1\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 158 (base 14) to base 12\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42207007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -170*d + 852. Let j be a(5). What is the greatest common factor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.083 + -8.917. Suppose -2*h + 0 = 8. Let b = -0.8 + 0.6. What is the nearest to -0.1 in h, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + -4)\/(-3 + 5). Let x(c) = -2*c. Calculate x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 186 and 39246?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7942008*k**2*q**2*x + 7*k**2*q*x**2 + 12*k*q**2*x**2 - 16*k*q**2 - 32*k*q*x - 109*k*x**2 + 7*q*x**2 wrt k?\nAnswer: -15884016*q**2*x + 14*q*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 o when two letters picked without replacement from {t: 1, a: 1, q: 3, o: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-44)*(-228)\/(-38))\/(105\/560).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -12. Let i = -5 - q. Which is the third smallest value? (a) -4 (b) -1\/2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**(2\/9)))\/o)**(-2\/23)*(o\/(o*o**(-4)))\/o*o**10*o assuming o is positive.\nAnswer: o**(2920\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 233 + 639. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 - 18*v + 25. Let b be q(-19). Suppose -b*o + 132 = -3*o. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**4 + 244*f**2 + 5*f**4 + 37 - 34 - 13*f**2 in the form j*f**4 + i*f**3 + n + o*f**2 + c*f and give o.\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7187878?\nAnswer: 2, 3593939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/309, 130, 79 in ascending order.\nAnswer: 10\/309, 79, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -647*p**2. Let c(z) = z. What is c(v(j))?\nAnswer: -647*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(88)*1)\/(-1*(sqrt(8) + sqrt(8)*-4)).\nAnswer: 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -111390*q**3 + 2*q + 9085?\nAnswer: -668340*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -195*-1*(2 - 1). Suppose -3*q + 329 = 5*j, -4*j - 3*q = -j - r. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 54 - 18*b - 54 + (1 - 4 + 4)*(b - 4 + 4) + 1 - 2*b - 1 as i + j*b and give j.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 - 2616396*l\/7 - 855691003602\/7.\nAnswer: -2*(l + 654099)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - -27504?\nAnswer: 27544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b**3\/b)*b)*b)\/b)\/(b\/(b**(4\/21)*b)*b*b)*(b**(-14\/3)*b)\/b**(-16) assuming b is positive.\nAnswer: b**(263\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*c**2 - 3)*((-7*c - 9 + 9)*(7 - 3 - 2) + 2*c - 1 + 1) - 2*c**3 - 3*c**2 + 3*c**2 + c + 19*c**3 - 5*c - 23*c**3.\nAnswer: -30*c**3 - 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1218, 5, 2 in ascending order.\nAnswer: -1218, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396027 to the power of 1\/2, to the nearest integer?\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 370 + -358. Solve 2*a = 5*a - b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-18) - ((-1222)\/(-156) - -14).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5550662 - 253354.\nAnswer: -5804016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*sqrt(99)*-6.\nAnswer: -36*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 24 (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 10570.\nAnswer: 73990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 6*w - 22. Let b be j(9). What is the common denominator of -1 - ((-141)\/(-9) + b) and 101\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468)*-6 - (sqrt(468) + 4 + -5) - (0 + 1 + sqrt(468) + -5 + -1 + sqrt(468) + sqrt(468)))**2.\nAnswer: -840*sqrt(13) + 46849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0817 - -39950195946?\nAnswer: 39950195946.0817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2239881, 2239878, 2239867, 2239842, 2239797, 2239726, 2239623, 2239482?\nAnswer: 2239297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89 - (37 + (-60 - (29 - 63)))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06974 - 0.0702379. What is h rounded to five dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j. Let m(t) = 364*t. Let x(i) = -52962*i. Let h(s) = -728*m(s) - 5*x(s). Determine q(h(l)).\nAnswer: -364*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -6\/11 (b) 7 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/89, 0, -2, -4 in descending order.\nAnswer: 0, -1\/89, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12152 and 9424?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 693972 divided by -231324.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2788401 is divided by 459.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*r**3 + 2 - 28*r**3 - 7*r**4 + 55*r**3 with respect to r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(1\/4)*r*r*r*r\/r**(-8)*r)\/((r\/(r\/r**(2\/7)))\/(r**(-5)*r))*((r**(1\/4))**(-14\/13))**30 assuming r is positive.\nAnswer: r**(687\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 5*d**8\/168 - 2*d**5\/15 - 3*d**2. What is the third derivative of y(t) wrt t?\nAnswer: 600*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22646300 rounded to the nearest one million?\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -53716 divided by -10?\nAnswer: 26858\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(19) + 2) + (sqrt(19) + -1*sqrt(76)\/sqrt(4))**2.\nAnswer: -6*sqrt(19) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose 0 = -2*w - s*w + 140. Let n = -7 - -14. Calculate the greatest common factor of n and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2805 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388276.\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*l - 16, -2 + 6 = 4*q - 4*l. Suppose 3 = -2*n - 3*k, 3*n - 4*k + k = q. Suppose n = 9*d - 27. Solve -d = 2*h - 5*h + 3*u, -13 = -h - 3*u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 4:56 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 263 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: Calculate the remainder when 1330707 is divided by 665287.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 20*a**2 + 24*a. Let m be q(21). Let y be (-1 - (-49)\/m)\/((-4)\/3). Suppose 2*x = 3*x - 40. What is the second biggest value in y, x, -4, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/(-19) - 156\/1482 - (-8 - (-7 - -7))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1 + 4 + sqrt(972)*-3 + (sqrt(972) + 1)*6)**2.\nAnswer: 972*sqrt(3) + 8829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944574 to the power of 1\/3, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*r + 69. Let g = r + 22. Let t be (-2)\/(9\/(-6) - -1). Solve -4*b - 24 = 3*l, t*b + g*l + 6 = -26 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(65)*3*-3 + sqrt(65))*3)\/(((-1*sqrt(135))\/sqrt(3))\/((sqrt(45)*1)\/sqrt(5))))**2.\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 l, and 1 t when three letters picked without replacement from raarradddtaddal?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 12:05 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -15, 0 = 2*x - 4*l + 1 + 7. Suppose x*m - 7*m + 64 = 0. Suppose 2*j + 2*j = m. Calculate the highest common divisor of 144 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2364.\nAnswer: 2, 3, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 3009.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = 122*c - 45 + 46. Let k be ((-4)\/(-4))\/((-1)\/(-1)). Put k, 4, c in descending order.\nAnswer: 4, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19208*x + 19273*x + 19305*x - 77634*x + 19528*x.\nAnswer: -320*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 2*s + 10 = 0. Suppose r = s*c + 2*c - 12, r + 5*c = 15. Let b be (-6*2)\/2 - (-101 - -91). Put 6, r, b, -5 in increasing order.\nAnswer: -5, r, b, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (5 + (-6 - 3)) - 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -3*b + 9. Let t(c) = 2*c - 7. Let p(u) = 4*m(u) + 5*t(u). Let d(y) = -2*y + 0*y + 1 + 0*y. Let w be ((-6)\/(-8))\/(1\/(-4)). What is w*p(a) + 2*d(a)?\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 y when two letters picked without replacement from {o: 4, p: 1, e: 8, y: 7}?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 634661.\nAnswer: 17, 37, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from {o: 2, c: 2, n: 2, u: 1, y: 1, e: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -33*(2\/(-3) - -1). Let h = f - -41\/4. What is the nearest to -0.3 in -0.5, h, 13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 55982 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 10*o**2 - 15*o - 8. Let i(v) = 3*v**3 - 15*v**2 + 22*v + 12. Suppose 0 = -4*k - 11 - 17. Let s(w) = k*x(w) - 5*i(w). What is s(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*s + s**3 - 262*s + 41*s.\nAnswer: s**3 - 262*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**11\/(t*t**(2\/17)))\/(t**4)**(-43))**(-50) assuming t is positive.\nAnswer: t**(-154600\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.37 - -0.07. Let v = -7 + 16. Let i = v + -9. Which is the nearest to i? (a) w (b) -4\/3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*x = -142*x + 536 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -396*d**2*g**3 + 7*d**2*g - 4*d**2 + 2*d*g**2 + 17*d*g - 28*g**4 wrt g.\nAnswer: -2376*d**2 - 672*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.5 * -0.22.\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 2*c**2 + 8*c. Let k(z) = z**2 + z. What is -2*k(i) + p(i)?\nAnswer: i**3 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*a**4 + 2*a**2 + 7*a**4 + 16*a**4)*(2 + 2 - 2)*(3 + 5 - 6).\nAnswer: -44*a**4 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 143.481 times -2?\nAnswer: -286.962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(3\/(-186)*1\/2)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3021245.989 to the nearest ten thousand.\nAnswer: -3020000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1909 + -1688. What is the highest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*u - 2*b + 18 = 0, -5*u - 4*b + 18 = 0. Let n be (-3 - 1) + 2 + u. Which is smaller: n or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 2*a + 4*p = -45, -4*p = a + 15. Suppose -3*i - 3*n + 7 = -a*i, 5*i - 5*n + 15 = 0. Let u = i + 36. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - s + 1. Let w(o) = -7*o**2 + 2*o - 1. Calculate 5*j(p) + 5*w(p).\nAnswer: -30*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-882)\/9408)\/((-195)\/320).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -s + 555, 8*l = 4*l + 3*s + 425. Suppose 0 = -5*a + 3*n + l - 7, n = a - 19. Calculate the remainder when a is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a day?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23788800 a multiple of 256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -0.21\nAnswer: 0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -2, -4, 90, -1 in increasing order.\nAnswer: -6, -4, -2, -1, 4, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 14?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 46 = -29. Let d be 532\/35 - (-3)\/p. What is the remainder when 98 is divided by 490\/d + 1\/3?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11329?\nAnswer: 11329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.45, -0.3, 3970, 2, 1.\nAnswer: -0.3, 0.45, 1, 2, 3970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 11:46 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3794.7 + 3592. Let a = -219 - g. Let o = 17.63 + a. What is o rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5133, 10266, 15417, 20598, 25821, 31098, 36441?\nAnswer: 41862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 12. Let i be (-2)\/(-1) - (-174)\/(-60). Let b = i + -3\/2. Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 32\/24*45\/6. Suppose 2*k = -4*a + 16 + d, 2*k - 5*a = -10. Let p be 602\/770 - 3\/k. Is 0 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1218015 and 676675.\nAnswer: 6090075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c**(2\/5)*c)*c)**(-2\/77)\/(c\/((((c\/(c*c**(-13)*c)*c)\/c)\/c)\/c)*c*((c*c*c\/(c*((c*c\/c**(2\/9))\/c*c*c)\/c)*c*c)\/c)\/c))**(5\/3) assuming c is positive.\nAnswer: c**(26806\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 18 + 3 - 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*v**5 + 27*v**2 - 27*v**2 + (-2*v**2 + v**2 - v**2)*(-5*v**3 + 4*v**3 + 3*v**3) - 4*v**5 + v**5 + 0*v**5 - 3*v**5 + 6*v**5 - v**5.\nAnswer: 2*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.01 - 1. Suppose 2*w - 33 = -5*u, -w + 2*u + 4 = 19. Let x = 6 - 9. Which is the third biggest value? (a) x (b) s (c) -0.4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3689994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4724.\nAnswer: 2, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2.8 (b) -1\/40 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -37967233 divided by -3\nAnswer: 37967233\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = 3*c - 131 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*v**2\/9 - 2013622*v\/9 + 1006802 = 0. Calculate v.\nAnswer: 9\/2, 503401","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8700\/(-1350))\/(8\/(-36)*1).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 842 (b) -5 (c) -7 (d) -1\/5 (e) -0.071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 178*x**2 + 189*x**2 + 7*x**3 - 610*x**2 + 209*x**2 + 4*x in the form y*x**2 + g*x + w + l*x**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q**2 + 81*q + 14. Suppose 14*c + 80 = 6*c. Let f be k(c). Solve f*b = -8 - 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*m - 2*v + 11, 3*v - 15 = 0. Solve -m*q - 3 = p, 5*q = -3*p + 5*p - 30 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 2*m - 3*m**2 - m**2 + m - m + (m - 4 + 4)*(1 + 2*m - 1) + (-4 - 8 + 6)*(-3*m**2 + 6*m**2 - m**2) to f*m + p*m**2 + t and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 482 (base 14) to base 16\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k - 3. Suppose 5*r + 1 - 6 = 0. Let v be 0\/(-1) + 0 + 3. Let q(b) = -34*b - 1 + 3 + 1 - 2 + 35*b. Calculate r*a(s) + v*q(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opvnvpoppnopvvpovnn. What is prob of picking 3 v and 1 o?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.74733 * 105\nAnswer: 78.46965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 2820220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 + 4*p - 11. Let d be x(-7). What is the units digit of 346\/d + 22\/55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -21*i + 14*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 757807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-156)\/(-24)))\/(2\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 2*w + 5. Let x be ((-8)\/w)\/4*-1. Let 0 - 4\/5*v**2 + x*v**3 + 2\/5*v = 0. Calculate v.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*n**2 - 3*a*t**2 + 5*a*t + 32*a + 205*n**2*t**2 wrt t?\nAnswer: -6*a + 410*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18412\/9 - -2045. Let g = 49.06 - 49. Sort n, g, 1\/9 in decreasing order.\nAnswer: 1\/9, g, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*u - l + 8, 3*u + 2*l = 25. Let x(m) = -2*m**2 + 3*m + 35. What is the remainder when x(0) is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 7*z + 9151 - 10*z - 8*z. Is a(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3831131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/20438838 and 113\/180.\nAnswer: 204388380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 + -0.2. Let v = -40.5 + 40. Are r and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49250 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31906.45 decades?\nAnswer: 319064.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126 is divided by ((-663)\/17)\/(3\/(-2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9 - -14)\/(-20)*12. Which is the second biggest value? (a) 1 (b) 0 (c) w (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + a + 2. Let v be i(-2). Let t be (-27)\/(-6) - 2\/v. Let -2*m**t + 0*m**4 - m**3 + 3*m**5 + 0*m**4 = 0. Calculate m.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/8*8*20\/(-40).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w**20*w))\/((w**(2\/5)*w*w)\/w) assuming w is positive.\nAnswer: w**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/3 (b) 0 (c) 0.3 (d) -287 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/13 - 844*c\/13 + 89042\/13 = 0.\nAnswer: 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 880416 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-1\/2))**(-2\/105))**(-12))**(-5\/7) assuming r is positive.\nAnswer: r**(4\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -59. What is the greatest common factor of s and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 25*i - 184. Let p be k(-31). What is the highest common factor of p and 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/4 - 18\/(-4). Suppose 0 = -u - 2*u - 3, -5*h - 5 = g*u. Let j be (h + 0)\/(-1 + 0). Solve j = 3*l - 8*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, w: 1, p: 2, q: 2}. What is prob of sequence qwp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1585148835?\nAnswer: 3, 5, 105676589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016122 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-49) + (-64)\/28 + 4. Suppose -q*n = -3 - 67. Is 32 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 213641222?\nAnswer: 213641224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6*w - 117 = 2*w, w = 4*b - 137. Let v be (-1464)\/(-27) - (1 + b\/(-45)). What is the greatest common factor of v and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 13) in base 11?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 2*d - 3*i, d + 4*i + 84 - 27 = 0. Let b be (-7)\/(d\/70) + -7. Suppose -4*f + 22 = 2*y, f + y = -3*y + 23. Solve v = -4, f*p - v = 2*v - b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 615016 is divided by 43?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*c - 1878, -6316 = -5*c + 4*o - 1615. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 49d - 11dae?\nAnswer: -11911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (2 + (-50)\/12).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.98 - -4.43. Let q = -2.44999574 + v. What is q rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-26)\/(-65))\/(4\/(-10)) - -17. Solve 4*h = 8*h + z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 5*v + 77 = 0. Suppose 35 = -2*u + v*u. Solve -u*r - 10 = -12*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176601?\nAnswer: 3, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) -15 (c) -61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1254.5301 and -156350.1.\nAnswer: -155095.5699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 7*w + 3. Let c be d(-6). Let x(n) = c - 9 - 4*n**2. Let g(y) = 3*y**2. Give x(g(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/12 - -1)\/(4\/16). Suppose -4*a = -x + 16, 2*x + 5*a + b = -x. Let j(f) = 5*f - 8248 + 8248. Give j(x).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*-12.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193005626.\nAnswer: 2, 11, 8772983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-385)\/44 - 1\/4. Let u = h + 24. Suppose 4*a = r - 34, -r - a = -49 + u. List the prime factors of r.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n + 1. Let d(c) = 8*c**3 - 9*c**2 - 7*c - 5. Let l(y) = -4*y**3 + 5*y**2 + 3*y + 2. Let w(k) = 3*d(k) + 5*l(k). Calculate -5*g(m) - w(m).\nAnswer: m**3 + 2*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 943*h**3 - 2226.\nAnswer: 2829*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 685 is divided by 341.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = 4*i + 5, -2*q - 4 = -6*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -9*r + 4. Suppose 3*j = -j - 16. Suppose 7*s - 4*s = -g + 17, 5*g + 2*s - 72 = 0. What is the remainder when b(j) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 f, and 1 v when four letters picked without replacement from efrerefeeev.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30281?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i*m**3 - 310*i*m**2 + 64*i*m + 2*i + m**3 + 20149 wrt m.\nAnswer: -12*i*m - 620*i + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-10))\/(((-13)\/((-78)\/(-24)))\/(341 - 251)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 y when two letters picked without replacement from cxycxhhhxcyhchyhxhhh?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 2:25 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*n + 91 - 106 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.129197ml in litres?\nAnswer: 0.000129197","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 + -110. Let h = p - 37. Calculate the greatest common factor of h and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18117 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.1707.\nAnswer: -0.8535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 84. Solve 3 - m = -4*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6913.568 + 6906. What is o rounded to 1 decimal place?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11626363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -337 - -359. Suppose 19*q - 35 = c. Let v(r) = -r**2 + 2*r - 3. Give v(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + -3)*18\/52326*19. Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3087491.58 to the nearest 1000.\nAnswer: 3087000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4511?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 18 and -0.5.\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*c - 50*c**2 + 40*c**2 + 10*c wrt c.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of f**7\/280 + 29*f**6\/80 + 219*f**5\/80 + 81*f**4\/16 + 97*f**2 - 10. Let h(y) = 0. Calculate y.\nAnswer: -54, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455915 = -60*a + 67295. Round a to the nearest 100.\nAnswer: -6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 22 and -74?\nAnswer: -1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -6. Suppose 0 = s + 4*y + 5, -s + 5*y = 2*s - 2. Which is greater: s or t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 3 - (4 - 6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -347 or -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence df when two letters picked without replacement from fffddddd?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -106 in -36, -1\/10, 34, 3, -2\/7?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**4 + 148*x**3 + 1680*x**2 + 5632*x + 4096.\nAnswer: 4*(x + 1)*(x + 4)*(x + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, -284, -799, -1314?\nAnswer: -1829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -28\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 76 - 15 - 353*l**2 - 13 - 22.\nAnswer: -353*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 0*y - 54 = 3*y, 0 = 2*n + 2*y - 56. Calculate the highest common factor of n and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 11*g**2 - 99*g + 501. Let f be b(7). Let u(h) be the second derivative of 2\/5*h**2 - 2 - 1\/60*h**f + 46*h + 1\/10*h**3. Factor u(o).\nAnswer: -(o - 4)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f**2 - 32*f + 1. Let d be p(-16). Let b(u) be the second derivative of -1\/6*u**4 - 3*u + 0 - 1\/6*u**3 + 0*u**2. Give b(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48044 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1486 (base 10) to base 2.\nAnswer: 10111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 131068.152 microseconds?\nAnswer: 0.0000015169925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let p(q) = 59*q - 1. Calculate d(p(k)).\nAnswer: 6962*k**2 - 236*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259455 divided by 86485.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**3 + 295*y**2 + 275*y + 873. Give d(-36).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2835138 (base 9) to base 3\nAnswer: 2221012011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 6*v - 2103. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, h: 5, q: 1, n: 1, f: 2, r: 5}. Give prob of picking 1 h and 2 w.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 333.8958 micrograms to kilograms.\nAnswer: 0.0000003338958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/(z**1\/z))\/z)*z)\/z*z**29*z*z\/z**(1\/16)*z*z\/(z**(4\/15)*z) assuming z is positive.\nAnswer: z**(7841\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13379, -13683, -14191, -14903, -15819, -16939?\nAnswer: -18263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (34880\/48)\/(-109) + (2 - (6 + -2))*-1.\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*n**2 + 25 + 72*n**2 - 27*n**2 + 12 - n - 24*n**2 as l + v*n**2 + a*n and give l.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.7 - -5.3. What is the second smallest value in 12, -5\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 9*z + 32. Let d be x(-3). Solve 3*t = -2*g + 9, 4*g + 0*t = d*t - 37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 1)*(0 - 3 + 2)*(-622 + 622 + 23*h) + (-6 + 6 + h)*(1 + 1 - 3).\nAnswer: -47*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*c - 2*o + 7, c - 5*o + 21 = 0. Let n be -49*(-3 + 1) + -3 + c. Calculate the highest common factor of 66 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 (base 10) in base 5?\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, 2\/15, 1\/3 in descending order.\nAnswer: 1\/3, 2\/15, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, 480702, 1\/7, 3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*((-20)\/(-15) - 2). Let l(h) = -4*h - 1. Let j be l(-1). What is the third derivative of 5*z**2 - 4*z**5 - j*z**2 + 11*z**2 + 3*z**q wrt z?\nAnswer: -240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15 - (5 - -20)) + (-123 - (5 - -1 - 7))\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -105 - -238. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54227 and 844.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of 1\/330*y**6 + 0*y + 0 - 1\/11*y**3 - 1\/1848*y**8 - 1\/385*y**7 - 6*y**2 - 1\/132*y**4 + 1\/55*y**5. Determine j so that t(j) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 10:03 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*p**6 + 6*p**6 + 60*p**5 - 60*p**5 + 4*p**2 wrt p?\nAnswer: 1920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 72\/3*4\/(-6). Let o be (-21)\/(-4) + (-12)\/c. Let v = 8 - o. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/74747072 and -52\/11?\nAnswer: 822217792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -7*u + 3*u. Let m be 5\/(-2)*18\/(-15). Find the first derivative of m*x**3 - x**2 + 3*x**2 - 1 - u*x**2 wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of 503*d**6\/15 - 641*d**3\/6 + 6*d + 11. Find the second derivative of u(n) wrt n.\nAnswer: 12072*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4))\/((-1)\/20*-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ersr when four letters picked without replacement from wswssrrsyssewwr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 30*a - 29. Let y(r) = 5*r**2 - 151*r - 145. Let s(w) = -22*v(w) + 4*y(w). Factor s(q).\nAnswer: -2*(q - 29)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*t = 10 - 334. Let d be 46\/12 - (-1)\/6. Let l be (2 - 1) + (d - -34 - -6). What is the greatest common factor of t and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 k, and 2 e when four letters picked without replacement from {y: 1, e: 4, f: 7, k: 6}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4 - 161624*b**3 + 7*b**2 + 2936888*b + 1 wrt b?\nAnswer: 12*b**2 - 969744*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -483, -0.2 in increasing order.\nAnswer: -483, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2. Let j(s) = 16*s**3 - 10*s**2. Determine 60*c(a) - 6*j(a).\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -19. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42*w**2*x**2*y - 198*w**2*x + 12*w**2 - 6*x*y - 601*y - 57 with respect to x.\nAnswer: -84*w**2*x*y - 198*w**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + x**2 + 2*x**2 + (6*x - 4*x - 4*x)*(12 + 56*x - 30*x - 30*x) in the form b*x**2 + q*x + p and give q.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a factor of 218540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 5*y**2 - y + 2. Let g be o(5). What is the units digit of (g + 3)*-1 + 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 - -12. Let x be (-1 - 0)\/(n\/(-2)). Let j = 5458 - 5455. Sort 0.4, -3, x, j in ascending order.\nAnswer: -3, x, 0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24422*t**4 + 6960269*t**3 + 661225365*t**2 + 20938785175*t - 857375.\nAnswer: (t + 95)**3*(24422*t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2040\/26180)\/(4\/(-14))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-228)\/285)\/(28\/(-10)). Which is the second biggest value? (a) -0.09 (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3897 is divided by 747.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 8*j**4\/17 + 2514*j**3\/17 + 2734*j**2\/17 - 123660*j\/17 + 90144\/17 = 0.\nAnswer: -313, -8, 3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -379 greater than -377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 8*l - 6. Let g be b(6). Let m be (-8)\/g*18\/276. Which is greater: 0 or m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4423a769 + 5?\nAnswer: 4423a773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*-7 + (12991 - 34). Suppose 8 = 4*v, r = -3*r + 3*v + x. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 5:20 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8*(125\/10 + -4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9676886 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*m - 20 = 52*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - 0) + (87 + 2 - (-171 + 158)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 31 (c) -1080\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 l when three letters picked without replacement from {o: 2, b: 4, l: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10973167 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16302 = 2*i - 5*j, -4*i + j + 12830 = -19810. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 308 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 67*w**2 + 22*w - 209. What is the thousands digit of z(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -234, 1 in increasing order.\nAnswer: -234, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15233\/4 - -3748. Is -60 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, -3, 3189, 13.9, -2?\nAnswer: 3189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 65284, 130802, 196326, 261862, 327416, 392994, 458602, 524246?\n\"Answer: m**3 - 3*m**2 + 65520*m - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1060435, 1060298, 1060065, 1059736, 1059311, 1058790, 1058173?\n\"Answer: -48*o**2 + 7*o + 1060476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5956847um in centimeters?\nAnswer: 0.00005956847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*u = -50*u + c - 282, -5*u - c - 298 = 0. Put 0, u, 14, -1, 3 in ascending order.\nAnswer: u, -1, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5 - 1 = 0, 3*y + 70 = 4*s. Let p = s + -10. Suppose -4*d + p*r = 3*r - 130, d = -r + 29. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*20\/(-150) + 512\/280\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (561\/(-51)*1\/(22\/(-28)))\/(133\/114).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 49*d**3 + 5*d**2 - 8*d - 37. Let n(v) = 49*v**3 + 4*v**2 - 9*v - 37. Let p(s) = -5*b(s) + 6*n(s). Is p(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*h**2 + 0 - 3*h**2 + 1)*(5*h - h - 3*h).\nAnswer: 22*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -13556535 (base 8) in base 10?\nAnswer: -3071325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 1\/24*n**4 - 4\/3*n**3 + 0*n - 1 + 0*n**2 - 1\/120*n**5. Let q(i) be the third derivative of r(i). Give q(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 4. Let z = 5 - u. Suppose -z*p + p = -4. Solve 0 = -3*k + p*r + 13, -2 - 3 = r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 177*j - 5*j**3 - 97*j**2 + 96*j**2 + 4*j**5 + 155*j wrt j.\nAnswer: 240*j**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = 29*n - 3*j - 32, 3*n - 3 = -3*j for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1)*(3 - 6*a - 3)*(5*a - a - 5*a) to the form h + l*a**2 + t*a and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + g + 720 = 5*t, 5*t - 740 = 2*g. Suppose 8*w + t = 626. Does 20 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 49520?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -22*c + 11*c. Suppose 4*h - 5 + 9 = -2*u, 4*h = -c*u + 14. Let o(a) = -2*a**3 - a. Let j(l) = -4*l**3 - 2*l. Determine u*j(m) - 11*o(m).\nAnswer: -2*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 195*y**2 - 6*y + 1. Let t(c) = -c. Calculate q(t(r)).\nAnswer: 195*r**2 + 6*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**5\/9 - 2*m**4\/9 + 152*m**3\/3 - 1816*m**2\/9 - 5440*m\/9 = 0. Calculate m.\nAnswer: -17, -2, 0, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -55 or -1013179?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9\/202 + 147\/101. What is the closest to 4 in -0.5, u, -19?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 - -0.25. What is the smallest value in 0.2, -1\/18, w?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of c**3\/3 - 8*c. Let q(z) = -5*z. Calculate q(p(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*f + 16. Is 9 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 735?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 68 + -409\/6. Let l = -4582 + 4581.9. Which is the nearest to l? (a) -2\/7 (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1531500 divided by -12252\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12edca0 - 1?\nAnswer: 12edc9f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 + -67. Let s = 0.02 + 0.28. What is the second smallest value in s, -3, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 767554867567.999999669 - 767554866871. Let m = -697 + j. What is m rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -8*c**2 + 10*c - 4. Let r be y(-9). Let q = r - -4469\/6. Let d = -4751\/4216 + 1\/527. Calculate the common denominator of q and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 103, 124, 147, 172, 199?\n\"Answer: v**2 + 18*v + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 327088280.0000315 - 327088373. Let m = 93 + s. What is m rounded to six decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1306\/4 + 8\/(-16). Let v = -285 + 126. Let i = v + n. Does 18 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1))\/(3\/75*5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 5. Let l(w) = w**3 - 6*w**2 + 6*w - 5. Let s be l(5). Let m be q(s). Let y = 2\/57 - -17\/57. Which is the smallest value? (a) y (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**2 + 11*h**2 + 11*h**2 - 37*h**2 + 10*h**2 + 12*h**3 - 10*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 27 - 15 - 15. Let x be s(-6). Solve 15 = -0*c + x*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.336 - 241.336. Let o = -257 - u. What is the nearest to 2\/7 in o, 1\/10, 4?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205973327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + 106.1. Suppose -h - 5 = -2*u, -h + 2*h = 3. Let o = -8 + 10. Which is the nearest to n? (a) u (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -7*z + 3. Suppose z*u = i - 4, -i + 0*u + 2*u + 8 = 0. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ki when two letters picked without replacement from ikzikizkzfzim?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, w: 2}. Give prob of picking 3 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -40*c**3\/3 - 202. Let g(m) be the third derivative of m**5\/30 + 2*m**2. Calculate g(o(n)).\nAnswer: 3200*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 410 and 120?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q - 10. Let j be b(-4). Let s be (85\/51)\/((-2)\/j). Solve -s*w - 5 = -0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 225.2 * -26.9.\nAnswer: -6057.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 230 = 2*j, -j = j - s - 242. Let p = 141 - j. Calculate the remainder when 98 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 372\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**5\/30 - 101*d**2. Let k(a) = 8*a**2 + 3. Determine u(k(g)).\nAnswer: 128*g**4 + 96*g**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03168 + -0.0103.\nAnswer: -0.04198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133699055?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6786 = -8*r - 6786. Solve r = o + 19 - 18 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3469271 (base 11) in base 9?\nAnswer: 12354377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 27 = -4*z. Let n be 252\/(-9*3\/(-72)). Suppose z*f + 217 = n. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5968.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**3 - 97581*w**2\/4 - 74459592*w - 418063680 = 0.\nAnswer: -6096, -45\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)*-2*6 - sqrt(88) - ((-2*(sqrt(88)*-1 + sqrt(88)) - sqrt(88)) + sqrt(88)))\/(sqrt(8)*-1*-3*-6).\nAnswer: 13*sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1093 + -191. Let t = -890 + c. Calculate the highest common factor of t and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5685896147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 - -239. Let c = n + -226. Which is smaller: 1\/6 or c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {r: 4, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3492 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 18 = 2. Suppose 5*z - 2110 = -o*r, -37*z + 38*z = 4*r - 2098. What is the remainder when r is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 69119, -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4949 - 6837.5051. Let k = 6838.3069 + o. Round k to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*v + 28 - 19, -7 = -v + b for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/12293 and 99\/988?\nAnswer: 639236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.1 + 487?\nAnswer: 455.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 12:33 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2 + sqrt(2057) + 0 + sqrt(272)*2 + sqrt(17))*6*-4)**2.\nAnswer: 48960*sqrt(17) + 3919401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -3*q - 0*q - 21, -h - 4*q = 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1739*n**3*r**3 + 4*n**3*y + 4*n**3 - n**2*r**3*y + 3*n**2*r - 7*y wrt r.\nAnswer: -10434*n**3*r - 6*n**2*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 6*r**2 - 6*r - 1. Let b be f(5). Let c(x) = -x**2 - 5*x + 8. Is c(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3368*g - 19999*g - 1097646 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c**3 + 3*c**2 + c - 72. Let t be 18\/(-27)*(3 + -12). What is the units digit of w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*w + 212, 7*w = 5*b + 9*w - 537. What is the remainder when b is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2737, -5472, -8205, -10936?\n\"Answer: z**2 - 2738*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1141994, -1141944, -1141894?\n\"Answer: 50*o - 1142044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 33 - ((-8)\/16)\/((-1)\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -90*c**4*o**2 + 2*c**4*o + 2*c*o**2 - 32*c*o + 2*c wrt c?\nAnswer: -1080*c**2*o**2 + 24*c**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32019943793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4232, -4229, -4228, -4229?\nAnswer: -4232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2661131893 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/34)\/(5568\/(-232)).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1472*x**2 + 1564*x**2 - 103*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-15)*30\/(-135)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - -1. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goorrqoooojoeo. What is prob of sequence rr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31917681.\nAnswer: 3, 3546409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - 45 - (0 + 4 + 0) - (2 - -79)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2471 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (21 - 5)\/2 + 6467 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271*k - 2584 = 1752 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -816.1300256641 plus -4?\nAnswer: -820.1300256641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 3.36?\nAnswer: -0.672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5579478329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 4 - 2 - 4*q**3 - 25*q + 19*q in the form h*q + r*q**2 + w + f*q**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37329*c**3 - 5*c**2 + 306762*c + 1 wrt c?\nAnswer: -223974*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 4:20 AM?\nAnswer: 7:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of b**4\/12 - b**3 + 3*b**2 + b. Let x be k(5). Does 20 divide (-13 - -3)*x*-4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*t + 25, 4*l - 12 = -0*l. Let c(g) be the first derivative of -g + 4 - 2*g**2 + 1\/4*g**t - 1\/3*g**3. Determine c(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -10*p + 15. Calculate i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/49, -4, 0, 2\/9, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r*r*r*((r**(-8)\/r)\/r)\/r))**40\/(r\/(r*r\/(r\/r**(-20)))*r**(-11)\/r) assuming r is positive.\nAnswer: r**392","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 22. Let m be 20*(0 + (-4)\/(-5)). Let y be u(m). Calculate the lowest common multiple of 10 and 1 + (-2 + y - 0).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 - 18. Suppose 42 = -3*u + 4*u - o, 2*u + q*o - 49 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7\/37 - 2\/185. Let j = -0.1 - -0.2. Let k = -0.3 + j. Is k < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 + 3*s + 2. Let n(w) = -36 + 19 + 7*w + 5*w**2 + 20 - 3*w. Let u(r) = 2*r + 1. Let o be u(1). Determine o*n(f) - 4*z(f).\nAnswer: -f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -254152011 - 15?\nAnswer: -254152030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.31 - -3.31. Let t = -9.7 - -10. What is the closest to 21 in t, j, 0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = -5*q - 30. Let o = q - 21. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d - 311 + 65 = 0 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u + u - 2*u + (-5 - 2*u + 5)*(2 - 2 - 2) + 0*u - 3*u + 5*u + 3*u - u - 4*u + 8451 - 8451 + 367*u in the form d*u + s and give d.\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5539 and 1363?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48894246?\nAnswer: 2, 3, 905449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c - 3. Suppose -15 = -b + 4*b. Let t be p(b). What is the nearest to t in -1\/5, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t**3 + 3*t. Let d(m) = 14*m**3 - 8*m. Let c = -73 - -43. Let z = c + 33. Calculate z*d(h) + 8*w(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58133, 58135, 58139, 58145, 58153, 58163, 58175?\nAnswer: 58189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.3, -351 in descending order.\nAnswer: 3, 0.3, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0023 - -0.00230502. Round b to 7 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 - 4\/(-6)*-5)*(-846)\/1833. Let t be 11\/9 + (-4)\/18. Let i be -2 + (3 - t) + -1. Do i and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -4\/3 (b) -0.04 (c) 5 (d) -5 (e) -482 (f) 5\/4 (g) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (10 - 3) + -7 - 0. Suppose -6*k = -k - 2*j + 227, y = 2*k - 5*j + 74. Does k = -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-20)\/(-105)*(-27)\/18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -272, -505, -726, -929, -1108, -1257, -1370, -1441?\n\"Answer: t**3 - 240*t - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3288 + 3363.28. Round q to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 21 = -0. Let q be -7*(24\/p + 2). Does 7 divide (-1)\/q*2*21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 2*r**2 - r - 1. Let y be k(3). Let v be 70\/7 + -1 + -5. Solve 0*z + v*g = -y*z - 17, 2*g = 2*z + 14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1392\/(-112) - -12) + (12\/14)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/232, -1, -2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -59 (c) 2\/7 (d) -2\/5 (e) -0.2 (f) -95\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533070?\nAnswer: 2, 5, 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 5) + -1 + 55 + (-68 - -72)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 + 30*s**2 + 217*s - 4. Calculate v(-17).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 10) in base 14?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29667028 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 0*r - 1\/3*r**2 + 0 + 5\/6*r**4 - 1\/2*r**3 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 57*u**2 - 50. Let c(h) = 58*h**2 - 49. Let s(v) = 3*b(v) - 2*c(v). What is the derivative of s(f) wrt f?\nAnswer: 110*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 412112 - -154?\nAnswer: 412266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 0.06, -1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(2\/3)*c)\/c)**(3\/38)*c**(-8)*c*c**(-3\/11))**(6\/5) assuming c is positive.\nAnswer: c**(-1791\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z**3 - 16 + 16.\nAnswer: 14*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -v - 14, -2*v - 3*v - 26 = 3*f. Let x = -81\/4 + 71\/4. Sort x, v, 0.5 in decreasing order.\nAnswer: 0.5, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 31*x**2 - 5202*x - 36352. Give w(-7).\nAnswer: 1581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-3) + 3)\/((-12)\/(-36))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3283324 divided by 22.\nAnswer: 149242","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*(2 - 0\/1). Let m be 26\/(-12) + -7*(-200)\/(-1680). Let f = 0.1 + 0. Which is the third biggest value? (a) f (b) -5 (c) u (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -1255*d + 80. Let i(v) = -8*v**2. Give c(i(x)).\nAnswer: 10040*x**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5039280*i**3 + 8382*i**2 - 2*i + 110?\nAnswer: -30235680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.57803 - -0.5458. Round v to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 0*k = 19*k + 95, 279*o = 283*o + 2*k + 10 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (26*v - 38 + 38 - 3*v + 3*v + v + (0 - 1 + 0)*(-v + 3 - 3) + 0*v - v + 2*v)*(-2 - 1 + 5) in the form r*v + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((-1 + -1*sqrt(80))*-2 - -1*(sqrt(80) + sqrt(80) + -1 + 5 - sqrt(80))))**2.\nAnswer: 48*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -115606*86\nAnswer: -9942116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8483349881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -2*v**6\/3 + 29*v**2\/2 - 20*v. What is the derivative of p(q) wrt q?\nAnswer: -80*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) - 3*3*sqrt(63)) + -6*(sqrt(63) - sqrt(2268)))\/((sqrt(225) + -2*sqrt(225))*-6*-4).\nAnswer: -11*sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 35*x**2 - 33. Let v(p) = -37*p**2 + 33. Let l(w) = -2*d(w) - 3*v(w). What is the first derivative of l(i) wrt i?\nAnswer: 82*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -225 times 75.98\nAnswer: -17095.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29.922 - -0.078. Let k = i + -30.05. Let n = 0 + k. Which is the second biggest value? (a) 4 (b) n (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 6*g - 6. Solve -2*c = -g*b - 4, -4*b = -b + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1745 - -7?\nAnswer: 1753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3008 - -4?\nAnswer: -3004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 3*i. What is the lowest common multiple of 5 and 16\/4 - i - 0?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - (-3 - 1)) + -5. Solve 2 = w*r - 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.62 + -0.8. Let w = 0.02 - i. Let b = 4.2 - w. What is the closest to 1\/3 in -2, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 0 (c) 16 (d) -0.1 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 + 22*n**2 + 19*n - 38. Let w be r(-21). Suppose -4*u = -2*u + 2, 5*p + w*u - 276 = 0. Is 4 a factor of (p\/35)\/(1\/5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 950 divide 4311814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 13*j**2 + 6*j - 13. Does 22 divide w(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -486, -534, -582, -630, -678, -726?\nAnswer: -774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and 21.1512.\nAnswer: -719.1408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/225*3*(-140)\/21.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 8) + 0 + (4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 + 3 + 1 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 222459337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 238.76 + -238.8. Which is the second biggest value? (a) -3 (b) -1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -2*g**5\/5 - 22*g**4 - 58*g**2 + 24. Find the second derivative of l(i) wrt i.\nAnswer: -24*i**2 - 528*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197 = 5*w + a, -6*w + 7*w = -a + 37. Suppose 0 = 25*d - 2624 - 2376. Calculate the highest common factor of d and w.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((29\/((-4872)\/192))\/((-20)\/154))\/((-10)\/25)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -6. Suppose 18 + 12 = g*r. Is (-802)\/(-12) + r\/36 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25758.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 5)*153\/(-459). What is the nearest to x in -3, -194, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -68, -108, -148?\nAnswer: -188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z**(-1)\/z))**(-3\/7)\/(z**(-2\/9)\/(z\/(z*z**4*z*z*z)))*(z**4\/(z*(z*z**(-4\/5))\/z*z))**13 assuming z is positive.\nAnswer: z**(8791\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 11*a**2 + a - 108. Let y be l(10). What is the second smallest value in y, 3\/5, 0.25?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 449313064 and 14?\nAnswer: 3145191448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/3, -0.2, 298, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 9:05 PM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322022122 (base 5) to base 9.\nAnswer: -2503734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 4*q - 19. Determine z(12).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (sqrt(56)\/sqrt(2) - sqrt(28))\/sqrt(4))**2 + (sqrt(7) + 0)*-6)*3.\nAnswer: -18*sqrt(7) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -527, -3006, -7135, -12920, -20367?\nAnswer: -29482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, e: 9, j: 3}. What is prob of sequence evv?\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 + 4*l + 7*l - 5*l in the form g + c*l**2 + k*l + m*l**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2932 divided by 733\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 232549 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -71 - -82 - (-435)\/(-39). What is the closest to r in -3, 0.3, -0.3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -377 + 384. Let a(t) = 2*t**2 - 6*t - 3. Let j be a(6). Let g = -6 + j. What is the remainder when g is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 341508?\nAnswer: 2, 3, 149, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - t**3 - 1015 + 1026 - t + 8*t**2. Give a(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -234838 and 164?\nAnswer: -38513432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -420\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 172.823625 nanoseconds to days.\nAnswer: 0.0000000000020002734375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*o - 2*c, -o - 7 = c - 0*c. Let y = o + 7. Let j = 6 + y. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 1, 4, 2\/35, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -102724 divided by -25681.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-1)\/15 + (-3)\/5. Let y be -1 + 2 + 7\/(-4). What is the third biggest value in 2, m, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 21*v**2 - 35*v - 10. Let a be s(-24). Let p = 289 - a. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1067 + 1815. Suppose 0 = -5*d + y - 58. Calculate the remainder when d is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from ucecgrgj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 11*b + 10. Let u(l) = 2*l**2 + 23*l + 20. Let n(p) = 7*d(p) - 3*u(p). Let t be n(-6). Sort -11, t, 0 in ascending order.\nAnswer: -11, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 b, and 1 n when four letters picked without replacement from {p: 12, b: 1, n: 3}.\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 14*l**2 + 2*l + 13. Let b be m(-7). Let d(j) = -j**3 + j. Let i = 0 - -1. Let u(n) = -n**2 + n + 1. What is b*u(p) + i*d(p)?\nAnswer: -p**3 + p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {x: 1, v: 2, d: 13, l: 3}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 1:09 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -68\/64716477 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - a - 3 = 0, m - 4*a = 3. Let y = 189315 - 189048. What is the greatest common divisor of m and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 4, x + 307 = -0*c + 4*c. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96 + 951 = -39*k + 228 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -361458124.6 rounded to the nearest 1000000?\nAnswer: -361000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56252879?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + 3 + -22 + 23.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5\/4 (b) 2 (c) -5 (d) -2\/25 (e) 44 (f) 4\/5 (g) 3\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(1*sqrt(8)*4) - sqrt(63)\/(sqrt(324)*-1).\nAnswer: 5*sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**2 - 6*i + 5. Let u be (57\/(-12) + 3)*-4. Let c be u\/((-21)\/30) + 3. Let o be j(c). Let a(l) = 4*l**2 + 2*l. Determine a(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -514631 (b) -3\/2 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 36*p**2 + 38*p + 45. Let a be j(-37). Solve 0 = a*g - 7 - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/28 of a week?\nAnswer: 64800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 11:16 AM?\nAnswer: 9:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -400897 at most as big as 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from sojyysoj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 34*y - 33*y - 21, 2*h - 3*y = 41. What is the remainder when 24 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1189430771 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 26039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2496, 5214, 8158, 11328, 14724, 18346?\nAnswer: 22194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**2 + p - 6. Suppose -3*b = s - 153, 15 = 2*s + 2*b - 299. Suppose 0 = s*a - 156*a - 9. Determine h(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - (-3)\/(6\/20). Let a be -9 + v + (1 - -3). Let h be 0 - 6*(-4)\/4. Solve 0 = -a*w + h*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9 = 3*o, o - 5*o - 4*b + 20 = 0. Let t be (2\/o)\/(-3)*0. Solve t = a - 6*a - 20 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 2 + 0)*(-4 + 4 - q) - 15*q - 18*q + 4*q to the form s + k*q and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 10. Calculate the remainder when 29 is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647788804 to the power of 1\/3, to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2202 is divided by 147.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*7\/(-70)*(-50)\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-2 + 6 + -44 + 8 + 38)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 6*r**3 - 11792*r**2 + 5789870*r + 3865156 = 0?\nAnswer: -2\/3, 983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2406 + 304. Which is bigger: z or 2711?\nAnswer: 2711","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7415407 (base 10) to base 16\nAnswer: -71266f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**2 + 12203986 - 12203986.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 + -6 - (-13 - -13)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.390918 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-28))\/((-8)\/(-84)*-15)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 - 45.41. Let u = -45 - z. Which is greater: 0.7 or u?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/405 (b) 2\/117 (c) -3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53450 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-612)\/476*(-35)\/475)\/(3\/(-15))?\nAnswer: -9\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 7 + 3. Let u be g\/(-3)*(-3)\/2. Suppose -5*m = 5*o + u, -4*o + o - 2*m + 2 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26220\/(-3420) + (-3)\/4*5\/45\nAnswer: -31\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.010452 rounded to four decimal places?\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**3 + 3*c**2 + 2*c + 21. Let a be s(5). Let g be 130\/a - (-28)\/(-126). Is -1 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 7135894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4\/5 + 342*a**3 - 6872*a**2\/5.\nAnswer: 2*a**2*(a - 4)*(a + 859)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 + 304908*f + 23242222116 = 0. Calculate f.\nAnswer: -152454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + ((3 - 21) + 9 - -11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 15. Is (-10)\/(((-6)\/b)\/(-3)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/8*408\/34*(-32)\/360?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, s: 1, a: 3, u: 4, h: 4, o: 1}. Give prob of picking 1 s, 1 h, and 1 a.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(11\/5)*l**(2\/7))\/(l**(1\/5)*l\/l**(-8)))**(-47) assuming l is positive.\nAnswer: l**(2209\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + c**3 + c**3)*(-1 + 6 - 1) - 38*c**3 - 5*c**2 + 40*c**3 + 31*c**2 - 18*c + 3*c**3 + 18*c.\nAnswer: 13*c**3 + 26*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 33 = 3*s, -3*t - t + 12 = 0. Suppose -5*k = -2 - s. Suppose -k*q = -10 - 29. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 89 + 79 = 0. Calculate the highest common factor of 168 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1395934l to millilitres.\nAnswer: 139.5934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 146972\/16 - 3\/(-12). Is (-4)\/(-14) + r\/42 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 PM and 10:39 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.1 and 0.1.\nAnswer: 0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 11*m = 24. Let y(c) = -4 - 6 - c - c**3 + c + 4*c**2 + 3*c. Let g be y(m). Calculate the greatest common factor of 22 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - x - 21 = 0, 5*i + 2*x = -x + 22. Suppose 5*p - i*d - 40 = 0, 2 = p + p + 5*d. Solve 5*c - p + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 518022.07 to the nearest 1000.\nAnswer: 518000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6720 - 17512 = 352*h + 8856 for h.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 5*n - 157, -4*n - 68 = -2*x - 0*n. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -664, -1409, -2148, -2881, -3608, -4329?\nAnswer: -5044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -10 - -4 - ((-5 - -3) + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y**2 + 2*y - 1. Determine q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -8.3. Let i = y + -0.2. Let d = 62 + -65. What is the nearest to i in -2\/15, 2\/7, d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 216. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8344, -8380, -8448, -8548, -8680, -8844, -9040?\n\"Answer: -16*s**2 + 12*s - 8340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 56 = -4*y, y - 156 = -2*b - 2*b. Let w = b + -37. Suppose 49 - 2 = 2*q - 5*c, w*q + c - 45 = 0. Solve -4*o = -0*o + q for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:48 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of 0*u**2 + 26 - 2*u + 11\/6*u**3 + 47\/30*u**6 + 0*u**4 + 0*u**5. Find the second derivative of n(y) wrt y.\nAnswer: 564*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34819 is divided by 5800.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 26\/5 of a centimeter?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 17*t**2 - t. Let g be w(-2). Suppose 69 = -l + g. Which is the nearest to l? (a) -5 (b) -2\/5 (c) -2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 2\/7, -122.7, 0.5, 42?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 577, 1155, 1733, 2311, 2889, 3467?\n\"Answer: 578*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*a + 7*s - 36, 0 = 4*a + 3*s - 37. What is the lowest common multiple of 56 and a?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in sixty-seven quarters of a kilogram?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -2\/11, -0.41, -0.0762, -2\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/27))\/(q\/(q\/(q*q**(-1\/6))))*((q\/(q\/q**2))\/q)**(-20))**(2\/123) assuming q is positive.\nAnswer: q**(-1075\/3321)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3887.67 rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 2581?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - w + 20 = -0*o, 4*o + 5*w + 5 = 0. Suppose 3*j - 8 = l, 7 = -2*l + o*j - 5. Solve l*n = 2*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/2*216\/1188. Which is the closest to -2? (a) 43 (b) l (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - u, -2*v - 4 = 5*u - 4*u. Which is the third biggest value? (a) 1 (b) v (c) 5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.00166 * -0.35\nAnswer: 0.000581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + (-2 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 0 + 63*f - 1\/40*f**5 - 1\/12*f**3 - 1\/12*f**4 + 0*f**2. Suppose v(b) = 0. Calculate b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c - 2*c + 40. What is the second derivative of 2*x + x**2 - 362*x**4 - 30 + 362*x**c + 23*x**5 wrt x?\nAnswer: 460*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 417231346.\nAnswer: 2, 7, 29802239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.691097ml to litres.\nAnswer: 0.009691097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 5:44 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 76 - 59. Let a = 13 - 19. Let v(o) = -o**2 - 10*o - 11. Let n be v(a). Solve 2*u + r = -5*z, -n = 5*z + u - 3*u for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 - -1 - (1 + (5 + -27 - -17))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(1\/(-8)). Let f(u) = 8*u**3 + 2*u**2 - 1. Let y be f(1). Suppose y*t = 8*t + 16. What is the greatest common factor of j and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g + 75 = -975. Let a = g + -100. Solve 2*z - 4*s - 1 = -11, -3*z = -s - a for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 130 and 120926.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24680.6*92.\nAnswer: 2270615.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/5 (b) -3\/2 (c) 0.04 (d) -2\/3 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**4\/4 - h**3\/3 + h + 5. Suppose 0 = -n + 5*n - 4, 2*w - 5*n + 5 = 0. Give r(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 38 = -12. Suppose 0 = 4*i - d - 10. Let y(b) = -b**2 + 8*b - 6. List the prime factors of y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of 0*i**2 + 3*i + 0 - 1\/6*i**3. What is the units digit of f(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + q = 19, 0 = -5*l - 2*q + 4*q + 28. Let k = -8 + 8. Suppose 0 = -w - k*w + 18. Calculate the highest common divisor of l and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.011088249424 to seven decimal places.\nAnswer: 0.0110882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 121 - 120 + h. Let p(t) = t**3 + 7*t**2 + 16*t - 12. Let r(m) = -6*o(m) - p(m). Is r(-5) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 22*q**2 - 73*q + 21. Let s be j(18). Find the second derivative of -70*l**3 + 32*l - 112*l**3 + 106*l**s - 1 wrt l.\nAnswer: -456*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**3 + 119*b**2 + 0*b**3 - 2*b**3.\nAnswer: -b**3 + 119*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -23353*y + 29. Let x be q(-7). Let w be ((-44)\/6 + 4)*x. Round w to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -117149 at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034 a factor of 13241274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/11)\/(-8) + 180\/22. Suppose o*i - 21 = -5. Suppose 0 = 2*k - 5*u - 2, k = 4*u - i. Calculate the highest common divisor of 66 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3477200 (base 9) to base 14\nAnswer: 36da7d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 829064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*-3*((4 + (2 + sqrt(76) - sqrt(76)) + -5)**2 + (-5*-2*sqrt(76))**2*2)*-6.\nAnswer: -1368090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 9) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -49) + (-23 - 17)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, r: 1, x: 1, i: 1, j: 2}. What is prob of picking 1 i and 2 j?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, 37, 108, 215, 364, 561?\n\"Answer: b**3 + 9*b**2 + 7*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 1. Let f be h(1). Let n be (-4 - (f + -117)) + 0. Suppose g - 5*p - 65 = 0, -4*p + n = 2*g - 0*g. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-two fifths of a hour?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7060, -7068, -7076?\nAnswer: -7084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1054552 divided by 131?\nAnswer: -1054552\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 236925367.\nAnswer: 7, 71, 293, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/4968 and -35\/28612.\nAnswer: 1545048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a + 2*a**2 + 3 - 2*a**3 + 448*a**4 - 106*a**4 - 146*a**4 + 3*a - 143*a**4 to the form o*a + d + h*a**4 + k*a**2 + z*a**3 and give h.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1969 + 9893\/5. What is the common denominator of -117\/10 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -533 - -899. Let l = c - 366.000755. What is l rounded to five dps?\nAnswer: -0.00076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-2 - (-6 - -19)) + 23).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - (sqrt(88) - (sqrt(88) - (sqrt(88) - -1*2*sqrt(88)))))\/((2*sqrt(72) + sqrt(72))\/sqrt(9)) - (sqrt(176) + 3 + 2)**2*6.\nAnswer: -1206 - 722*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i + 10*i - 171 = 0. Let q(j) = j**3 - 8*j**2 - 11*j + 12. Give q(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {u: 2, x: 3, l: 3, h: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.74 times 31?\nAnswer: 115.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 5*m + 2. Let l(i) = 6*i - 2*i**2 + 5 - i + 6*i. Let g(q) = 3*l(q) - 7*y(q). Let p(o) = o**2 - 3*o + 4. Let z be p(3). Calculate g(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 12084692*i**2 + 1 - 2*i**3 - 12084692*i**2.\nAnswer: -2*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194488 + 542*s**2 + 194485 + 62*s**2.\nAnswer: 604*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**3 - b**3 - 4*b**3)*(4 + 1 + 3).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*b + 3*b = 59, 3*p = 3*b + 93. What is the third smallest value in -5, -3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 1 - 21*v**3 - 1 + v**3 to the form h*v**3 + d + r*v**2 + f*v and give h.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(2 - -1) + 2. Suppose 0 = i - o*c + 9, c + 0*c - 3 = i. Suppose 4*n - 6*n = i. Solve -20 = -n*f - 4*f - 4*j, -4*j = -20 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 29.7. Let q = 9 + u. Let l = 1 + -1. Which is the closest to l? (a) q (b) 1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**3 - 4*o + 4*o + ((-4 + 2 + 1)*(-3*o - o + 3*o) - o - 3*o + 6*o + 2*o - 1 + 1)*(465*o**2 + 59*o**2 - 160*o**2).\nAnswer: 1819*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/2636 - 60619\/23724. Suppose -1292 = -2*u + 5*r, -5*u + 2112 = 4*r - 1052. What is the common denominator of u\/88 - (0 + 5) and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67 and 4?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 20007?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 2:31 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 5 - 1\/3*i**2 + 2\/3*i = 0. What is i?\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v + 9. Let c(f) = -f**2 - 22*f - 42. Let b be c(-19). Determine y(b).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1000*n**5\/13 - 550*n**4\/13 + 870*n**3\/13 + 124*n**2\/13 - 248*n\/13 + 48\/13 = 0. Calculate n.\nAnswer: -1, -3\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = w - 135. Suppose 273 = -2*a + w*a. Let i = 46 - 31. What is the least common multiple of a and i?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 953 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, -49, 0.4 in ascending order.\nAnswer: -49, 0.4, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 89175680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129237.\nAnswer: 3, 23, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/15)\/((-1104)\/(-3450)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 12 = 3*y - 3*f, 20 = 2*y + 4*f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49058.\nAnswer: 2, 19, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12233232022 (base 4) to base 14.\nAnswer: 340614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -1 (c) 2\/9 (d) -1.2 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26431, -26565, -26741, -26959, -27219, -27521?\nAnswer: -27865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*t + 17 = -4*c, -3*t = 4*c + 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/11 + 131324*u**2\/11.\nAnswer: 2*u**2*(u + 65662)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p - 1. Let a be m(-2). What are the prime factors of -5*-2*(-42)\/a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*g = -1751 + 361. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/4, 0.3, 0.129, -0.3?\nAnswer: 0.129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 259298 and 338.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l - v = 32*l + 63, -v - 39 = 3*l. Let q(g) = 2*g + 23. Determine q(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 2110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swwhswwwwhb. Give prob of picking 1 h and 2 s.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -47818*o**3*v**2 + 13462*o**3*v - o**2*v + 2*o*v wrt v.\nAnswer: -95636*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 99496.44 nanometers?\nAnswer: 0.00009949644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-570)\/(-240) + (-1 + -2)*-1 and 40*(-2 + 4)\/(-206).\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.225 - 3.2534. Round z to 2 decimal places.\nAnswer: 4.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 189 + 0.06\nAnswer: 189.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 2\/13, -8, -2\/5, -2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 - 28*j + 0*j**3 + 9*j**3 + 28*j.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 42 - -525510342?\nAnswer: 525510414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16729 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -9958130\nAnswer: -1\/321230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000121225 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8\/733, 0.5, 3 in increasing order.\nAnswer: -1, -8\/733, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211102122220121 + 1?\nAnswer: 211102122220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - w + 57 = 2*w + 4*s + 14 + 28, 0 = -2*s + 4 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2149983?\nAnswer: 3, 11, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t**3 + 6*t**2 - 10*t + 5. Let k(u) = -6*u**3 + 10*u**2 - 14*u + 7. Give 7*d(j) - 5*k(j).\nAnswer: 2*j**3 - 8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/16 and 9\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 50.75?\nAnswer: 355.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 2*x**2 - 2*x**2)*(32*x - 77*x - 51*x) + 2*x**4 + 8*x**3 - 8*x**3 + 3*x**4 + 5*x - 5*x.\nAnswer: -187*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08899 + 0.08899. What is the closest to -0.8 in s, -15, 2, 1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 4*p - 3 = 0, -23*p = 5*s - 19*p - 33. Suppose -4*u - 26 - 26 = 0. Let i = u + 28. Calculate the greatest common factor of i and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -126, -552, -1254, -2232, -3486, -5016, -6822?\n\"Answer: -138*z**2 - 12*z + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44164 + 234836. What is m rounded to the nearest ten thousand?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - -16. Let y = -18.99 + n. Which is the third biggest value? (a) y (b) -0.3 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -308 - -313. Suppose d*s - 35 = -5*f, 20 = 4*s + s. Solve -11 = -4*h - 5*g, g + f + 2 = h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p**3 - 2*p**2 + 10*p - 9. Determine h(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/72 (b) 4\/7 (c) 0.04 (d) 0.4 (e) 0.11 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35982 and 4554?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 283\/5 - 57. Suppose -4*p + 9*p = 0. What is the closest to u in p, 1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166390 - -12478978\/75. Is -3 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1132565 + -1026?\nAnswer: 1131536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -190.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660405 is divided by 55?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-1 - 0)) + (9 - 4) + (-153 - -59)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 3*m = 4*x + 57, -95 = -5*m - 2*x. What is the remainder when 56 is divided by m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/5325 and 109\/243510?\nAnswer: 86446050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80672 is divided by 285.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**2 - 19*k**2 - 3604*k**3 + 3*k + 3576*k**3 - 3*k.\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 14*s**3 - 6*s**2 - 3*s - 113. Let g(a) = -42*a**3 + 20*a**2 + 10*a + 340. What is 10*c(m) + 3*g(m)?\nAnswer: 14*m**3 - 110","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p - 4*v - 4, -2*p + 7 = v + 3. What is the remainder when p is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 2:17 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ddv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4087 and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 15329 = 4*l, -214 = -5*l - 3*n + 18981. Suppose -2*b + 4*b + 5*s - 1508 = 0, -4*s - l = -5*b. List the prime factors of b.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuufffff. What is prob of picking 1 f and 2 u?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/3 - 680\/12. Let s = -5 - -18. Calculate the remainder when (d\/12)\/((-3)\/24) is divided by s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*g - 3199 = -4*g, 5*g - 1572 = -u. Calculate the remainder when u is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12115491?\nAnswer: 3, 269, 15013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 41 - 135 = 0. Calculate the remainder when 29 is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of -u**6\/30 - u**5\/12 - u**4\/24 + 4*u**3\/3 - 2*u**2. Let a be p(-2). Solve 0*t = -3*b - 5*t - 17, -2*t - a = 5*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 16, x: 4}. What is prob of sequence fxx?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -158 - -159. Solve 0 = s - d - 4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 577051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7013013?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/6 (b) -0.3 (c) 2\/63 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/((-4)\/(-5))*2. Let u(k) = -k**3 - 5*k**2 - k + 1. Is u(z) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (440\/160 - (-1 - -6) - 11)*4 + -5.\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 0*h + 10*h - 12*h + 6*h - 3. Give b(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13031118 is divided by 1447901?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16080, 19157, 22234, 25311, 28388?\nAnswer: 31465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1930470724.\nAnswer: 2, 7, 13, 29, 43, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-7)\/(-84)*4*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3925d1 (base 14) to base 16\nAnswer: -1dff2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 - -177. What is the second derivative of 7*w**4 - 74*w**5 - 3*w + 76*w**5 - x*w**4 wrt w?\nAnswer: 40*w**3 - 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**5 + 165*v**4 - 1390*v**3 + 540*v**2 + 5480*v - 4800 = 0.\nAnswer: -40, -2, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 1 = 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -20.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 11374*x**2 + 3*x. Let m be h(-2). Let i = -69390 + m. What is i rounded to the nearest 1000?\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 21*k**2 - 2*k + 45. Let u be n(21). Suppose 0 = -3*j + 2*j. Suppose -4*b + 21 = a - j*b, 4*a = -2*b + 14. Solve -4*i + a = -u for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1600.8 less than -134445?\nAnswer: -132844.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q + 9. Let u(p) = -10*p + 52. Let j(l) = 3*u(l) - 12*w(l). Calculate j(20).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 12) to base 3\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(208) - (4 + -1*sqrt(208)))**2 + (-2*2*sqrt(208) + 3)**2.\nAnswer: -160*sqrt(13) + 4180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2741176?\nAnswer: 2, 342647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3554 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((-27 - -75) + -6)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/9)\/p**(-7)*(p*p**1\/p*p)**(-9\/7)*(p\/p**2)\/p**(-6)*p**(-2\/23)\/(p\/((p\/p**(-7))\/p)) assuming p is positive.\nAnswer: p**(21908\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -113893, -113892, -113891, -113890, -113889, -113888?\n\"Answer: v - 113894","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 0*w - 2*w + (-3 - 2 + 4)*(3 + 2*w - 3) + w - 2*w + 0*w + 4*w - 15*w - 9*w)*(-7 + 16 + 0) to k + s*w and give s.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**4\/6 - 5*l**3\/3 - 4*l**2 + 7*l - 26. Let y(c) be the first derivative of h(c). Factor y(b).\nAnswer: -2*(b + 1)*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1176261 to the nearest integer?\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277006755?\nAnswer: 3, 5, 17, 1086301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 76100691181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2331 a factor of 47636453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 188674393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-1)*k)*k)**11)**(4\/39) assuming k is positive.\nAnswer: k**(44\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z + 2*m - 14 = 0, -4*z + 16 = 4*m. Let y = z + -3. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 + 16. Let h = -0.4557 + 0.1557. Sort 4, -1, h, t in decreasing order.\nAnswer: 4, h, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 9636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 103625 and 24952900.\nAnswer: 124764500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1064872168?\nAnswer: 2, 293, 454297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b - 3*b = 200. Let l be 86\/21 - (b\/42)\/(-2). Solve 0 = -2*d + l*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 - 2*w**2 + 2*w**5 + (4*w**3 - 3*w**3 + 0*w**3)*(-3*w**2 + 2*w**2 + 2*w**2) + 2*w**2 - 2*w**5 - 2*w**2 + 27*w**4 - 31*w**5 - 27*w**4.\nAnswer: -30*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10505 - 21009\/2. Let j(r) be the first derivative of 11*r + z*r**2 + 7. Calculate j(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*2 + -4 + 6. Suppose -39 + 143 = d*h. What is the greatest common divisor of 13 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttxt. Give prob of picking 1 x and 2 t.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318130 a multiple of 628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 9*p. Let x(t) = 38*t - 18. Let r = 151 - 187. Let j(l) = 2*l - 1. Let q(s) = r*j(s) + 2*x(s). Give m(q(z)).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*j - 221, -5*j = 4*a + a - 540. Calculate the remainder when j is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73 + 0 - (84 + (-83 - 18))\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 2:59 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11\/214 - -10491\/4066. Let y = g + -181\/76. Sort y, -31, -4.\nAnswer: -31, -4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17061 + -17058. Suppose 0 = -i - 4*i. Let s(x) = x**3 - x + 5. Let b be s(i). Solve y + 3 = -b*q, -5 = -l*y + 2*q + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 140, 224, 306, 386, 464?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -44. List the prime factors of -1*2*(u + 15).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2. Let d(j) = 14583 - 14583 + 109*j. Calculate d(k(c)).\nAnswer: 327*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1613, 3160, 4705, 6242, 7765, 9268?\nAnswer: 10745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*n + 5*n + 98 + 6*n - 15*n as o*n + j and give j.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24439*k**3 - 3*k + k + 3*k - k.\nAnswer: 24439*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and 989912762?\nAnswer: 989912762.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 5*z = -10, p + 5*z - 5 = -15 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of 7*d**4\/24 - 2*d**2. Suppose -2*r = -f - 2, r + 2*r - 5 = 2*f. Give l(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 - -50 - 27 - (9 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 17. Let h be t(0). Let m = h - 15. Let n(l) be the third derivative of -l**4\/24 + l**3\/3 + 2*l**2. Calculate n(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23118109, 23118117, 23118115, 23118097, 23118057?\n\"Answer: -j**3 + j**2 + 12*j + 23118097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -664 - -664.609. Let c = x - 0.069. Let z = -0.64 + c. Put 1\/6, 0.1, -2\/9, z in decreasing order.\nAnswer: 1\/6, 0.1, z, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2. Let c(m) = -1 - 7 + 12 + 150*m**2 - 5*m - 89*m**2 + 6*m. What is c(p(b))?\nAnswer: 244*b**4 + 2*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 47.1177 months?\nAnswer: 0.3926475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 34*k + 32*k - 1612, 5*h - 1616 = k. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 6*k**2 - 21*k + 25. Let h = 22 - 16. Let o be y(h). Is 330 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -99*u**4 + 201*u**3 + 6*u - 375589 with respect to u.\nAnswer: -396*u**3 + 603*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2596 and -39\/944?\nAnswer: 10384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111111110001011 - 10011001?\nAnswer: 111111011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let h(b) = -109231*b. What is h(g(v))?\nAnswer: 109231*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 100\/80*(2\/70)\/(22\/(-44))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4*q = -18, -q + 6*q + 13 = -b. Suppose 2*w - b = 4. Suppose 5 = -h, -2*c + w*h = -0*h - 77. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*c + 54*c + 496 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22823799, -45647596, -68471393, -91295190, -114118987?\nAnswer: -136942784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -523*t - 624. What is the thousands digit of k(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 972509?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 518861989?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 1)*176\/(-48). Suppose 9*p - x*p = -10. Find the third derivative of -p*g**6 - 3*g**2 - g**2 + 0*g**6 wrt g.\nAnswer: -600*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*u + 7. Calculate the remainder when 7 is divided by (2 + 3)\/1 + u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5*p**2 - 2*p + 5. Let t be h(4). Let w be 165\/(53 - (-36950)\/(-700)). Calculate the highest common factor of t and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8384700 divided by 4413.\nAnswer: -1900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/1 - 7) + 2. Let t = -5 - j. Let i = t - -5. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 155938 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/15 + 181934*y**2\/15 - 24976654*y\/5 - 25037298\/5 = 0. What is y?\nAnswer: -91377, -1, 411","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 2 + (-33)\/7)*(-3899)\/(-3342)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -353*c**3 - 46*c**2 + 2*c + 1220.\nAnswer: -2118*c - 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 1\/4, -4, -0.4, -2, -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 59362651193 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1. Let q be (-12 - -4)*(-1)\/2. Let o(j) = 2*j - 6. What is q*c(n) - o(n)?\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvvpppppvvp. What is prob of sequence vpp?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2439*y - 10 - 2532*y - 77 - 2585*y + 7359*y)*(y + y - y) to u*y**2 + h + o*y and give u.\nAnswer: -197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/69? (a) 2\/15 (b) 4\/5 (c) -2\/449\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48428 + -243788\/5. Which is bigger: -330 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04981 to three decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1203*r**4 - 2*r**3 + 2753*r.\nAnswer: 14436*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 313962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149727?\nAnswer: 3, 29, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 4681960*d - 1370046840100.\nAnswer: -4*(d - 585245)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.429138 rounded to one decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -50? (a) 0.5 (b) -2 (c) 1\/3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 131*f**2 - 133*f**2 - 28 - 5*f**3 + 0*f**3 - 6*f. What is the hundreds digit of t(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1571, 5\/3, 5, -98, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/3803 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11599 + 11625. What is the lowest common multiple of (-1 + 2)\/(1\/6) and l?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2838, 5671, 8502, 11331?\nAnswer: 14158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1897 + 1895. Suppose 5*z + 4*o - 33 = -2, -z - 1 = -o. Sort -3, z, c, -1 in decreasing order.\nAnswer: z, -1, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 984157 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -14*o + 16*o + u, -4*o - 4*u = -32. Calculate the lowest common multiple of 114\/15 + (-6)\/(-15) and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4 - 41*l + 29*l - 6. Let f(i) = -i. Let w(q) = 10*f(q) - t(q). Determine w(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, 110, 355, 704, 1163?\nAnswer: 1738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 100420 - 1?\nAnswer: 10041a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 1506*p + 76195.\nAnswer: -(p - 1555)*(p + 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -30 + 2*z**2 + 12*z**2 - 13*z**2. Let c(m) = 11*m - 6. Let g(s) = 2*s - 1. Let i(o) = c(o) - 6*g(o). What is d(i(l))?\nAnswer: l**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 744c - -180?\nAnswer: 75cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 48*p**2 - 51 + 28 + 9*p + 12 + 7*p.\nAnswer: -48*p**2 + 16*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -277 divided by 2?\nAnswer: -277\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -354 - -241. Let j = -101 - x. Suppose 209 = 2*p + 17. What is the greatest common divisor of j and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 56 = 4*y, -4*u + 31 = y + 2*y. Let a be (-2 - -1)\/(12 - y). Let g(s) = -1. Let t(n) = 4 + n + n - 5 + 6. Give a*t(l) + 4*g(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -58 + (-2 - -2)\/(3\/(-3)). Does 15 divide (-7)\/(-3) - (-12)\/(-36) - z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2323334886 to the nearest integer?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196, -85, 84, 299, 548?\nAnswer: 819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52768 and 44608.\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -23 + 90. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*h - 295, -3*h - 5*c + 177 = -0*c. Calculate the remainder when h is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/10)\/(425\/14875).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27836953 is divided by 713768?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(0 + -3) - -3. Let x(k) = k**3 + 3*k**2 + 3*k. Let q be x(l). Let d = q - 69. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 - 109\/3. Which is the third biggest value? (a) 0.5 (b) 0.35 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 11 - 1141*x**2 - 118*x**2.\nAnswer: -1259*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -43428, -43421, -43414?\n\"Answer: 7*i - 43435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/(-8)*6\/(12\/(-694)). Let d = -434 - u. What is the fourth biggest value in d, 7, 1, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 11. Let z be c(7). Suppose -2*r + z = -0*r, x = 5*r + 117. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 11936. Let g(o) = 3*o**2. Determine g(u(k)).\nAnswer: 3*k**2 + 71616*k + 427404288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 1403949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/63, -1.4, -1\/4, 0.55 in ascending order.\nAnswer: -1.4, -1\/4, 4\/63, 0.55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10 - 4 - 3 - -4. What is the greatest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.56 and -112119331.5?\nAnswer: 112119332.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*l**4 - 7*l**3 + 1769.\nAnswer: -28*l**3 - 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -10, -104 = -3*o + 5*y - 10*y. Suppose 702*g - 669*g - 16 - 83 = 0. Suppose -1 + o = g*i. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**3 + 244*n**2 + 1203*n + 976. Let j(l) = -6*l**3 - 244*l**2 - 1204*l - 981. Let b(x) = 4*j(x) + 5*m(x). Find o such that b(o) = 0.\nAnswer: -239, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 4*z - 2. Let r(i) = -16 + 29 + 4*i - 7 - 14. Let p be r(4). Suppose 27 = -p*q - q. Give o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3687350 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 4*f + 4. Let w(t) = -2*t. Let n be w(-4). Let m be q(n). Let v = m + 3. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*r - 4963 = -4798 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 48*b + 1. Let g = -4772 - -4765. Let w(v) = 16*v. Determine g*w(i) + 2*a(i).\nAnswer: -16*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 229 or 6169?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0.3 (c) -1 (d) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 105*s**4 + 2592*s**3 - 885*s**2 - 1512*s - 300 = 0.\nAnswer: -25, -2\/5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 354 and 7386328?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n - 5*n - 3 + n + 2*n. Calculate the least common multiple of 9 and a(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 22 - 92*o - 12 + 46.\nAnswer: -92*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147 + -135. What is the lowest common multiple of l and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6) - (-50)\/57. Let c = -187\/76 + x. Calculate the common denominator of -9\/11 and c.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*f - 12, -h - 3 = -4*f - 6. Suppose f = -2*d + 5 - 83. Let i = d - -84. Calculate the greatest common divisor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*d - d - 1023 = 0, 0 = -4*o + 3*d + 1021. Is 32 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n**2 + 5*n - 1. Let x(a) = a**3 + a**2 - 6*a + 1. Let v(w) = 5*s(w) + 4*x(w). Let g(h) = -9*h**3 - 6*h**2 + 6*h - 6. What is -g(t) + 6*v(t)?\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -14471\nAnswer: 289.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31045565 (base 7) in base 2?\nAnswer: 1001111010101111010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 489663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 225486\/79 + -15442383\/5056. Let f = r + 200. Let z = 52293 - 52294. Is z <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 10. Suppose 3*w - 5 = 4*w. Let j be p(w). Suppose q + 2*h + h - 31 = j, -4*q = 3*h - 88. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 1. Let a be h(-1). Let z(j) = -j**2 + 3*j - 2. Give z(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -743807 > -743809?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 5 - 3*x**3 + 4*x**3 - x to the form c*x**3 + n*x**2 + p*x + z and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -19. Let h = -1597 + 1593. Which is the second smallest value? (a) h (b) 1.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1713259 is divided by 5599.\nAnswer: 5564","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/48125 and -21\/275?\nAnswer: 48125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-336)\/(-70)*(-10)\/15?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1598242988 to the power of 1\/3, to the nearest integer?\nAnswer: 1169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(16\/2792) + 6. Let c = q - -367. What is the highest common divisor of c and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r - 16. Let x(k) = k + 14. Let a(p) = -3*i(p) - 2*x(p). Let b be 1\/((6\/(-26))\/3). Let f be a(b). Does 4 = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 6*d - 7. Let w be l(-5). Let u be w\/9 - (-20)\/(-90). Let m be 1\/(-6)*(-9)\/(-6). Put -2\/5, m, u in descending order.\nAnswer: m, -2\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157415?\nAnswer: 5, 19, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 4*p + 3. Let b(d) = -d**2 + 2*d - 1. Give 11*b(s) + 6*g(s).\nAnswer: s**2 - 2*s + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1871447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -43*g**2*k**3 + 39669680*g**2*k**2 + 234349*k**3 - k**2 wrt k.\nAnswer: -258*g**2 + 1406094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 10*m - 9. Calculate d(-6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 13\/4 of a millisecond?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -21. What is the units digit of b*5\/10*-34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-10 + 6)) + -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3931 - 11004?\nAnswer: -7073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-3))\/((-16)\/24).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 9*d + 103. Let p(j) = 9*j + 102. Calculate 5*f(m) - 6*p(m).\nAnswer: -9*m - 97","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*u + t, 5*u + 190 = -5*t + 165 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1720 + 1720 + 11*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 23 - 23 - 30 + 154*r**2.\nAnswer: 154*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, -26\/5, -2\/19, 3\/7 in ascending order.\nAnswer: -26\/5, -2\/19, -0.01, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -894 + 909. Find f, given that -1 - 63*f + 4 + 7 - 1 - k - 30*f**2 = 0.\nAnswer: -2, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 2, 4, -7, -5, 36, 3 in descending order.\nAnswer: 36, 4, 3, 2, -5, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyaayayayaaay. What is prob of sequence ya?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -10. Put -1, x, 3 in increasing order.\nAnswer: x, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40*l**2*t**2*w - 2*l**2*t*w**3 + 40*l**2*t*w**2 - 10*t**2*w**3 wrt t.\nAnswer: -80*l**2*w - 20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -68. Solve -10*p - 11 = -8*p - 3*k, -r*p - 4 = 4*k for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4514871837?\nAnswer: 3, 7, 31, 6935287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/14)\/((-1674)\/(-1302))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3668469\/5 <= 733695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z**2. Let m(b) = 29*b**2 - 250. Determine m(s(y)).\nAnswer: 3509*y**4 - 250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2537, 10171, 22887, 40679, 63541, 91467?\nAnswer: 124451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 56079 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1422 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 37, 162, 377, 682, 1077, 1562, 2137?\n\"Answer: 45*l**2 - 10*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 335 divide 594344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*y = y - 1100088 - 739176. Is 33 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + (3 - 9) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1720583792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4322 (base 6) in base 9?\nAnswer: 1315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/60 - (-62)\/12. Suppose -o*q = 2*m - 0*q - 7, -2*q = -3*m + 20. Calculate the greatest common divisor of m and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 25 + 55 = 0. Solve 7*l + 20 = 2*l, -o = c + 4*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.802289 to three dps.\nAnswer: -14.802","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1538.\nAnswer: 2, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5398281 and 252.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540725 to the nearest integer?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.99999874 - -18. Round d to 7 dps.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.2? (a) 0 (b) 10 (c) -2\/5 (d) -8 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/23 in 1\/3, 1, -3\/5, 6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 10*t**2 + 4*t + 6. Let l be r(-10). Let s be (-4)\/(-8)*(2 - l). Suppose -m + 2 + s = 0. Is 11 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 + 159*t**4\/2 + 627*t**3\/2 + 363*t**2 - 6*t - 132 = 0. Calculate t.\nAnswer: -22, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -29 - ((-11 - 11 - -29) + (-8 - -5))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 12, -5*f + 0 = 4*k + 37. Let c = f - -4. What is the units digit of ((-2)\/c)\/(2\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2275 - -2276. What is the biggest value in -0.4, m, 2174?\nAnswer: 2174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 7 - 14. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3502?\nAnswer: 2, 17, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 44517\/10 or 4453?\nAnswer: 44517\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (75\/5)\/((-324)\/24)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 3*w**2 + w + 2. Let n be t(2). Suppose 0 = -4*s + 4*f + 112, 20 + n = 5*f. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 12*f = -5. Solve 3*j = 0, f*k - 15 = -0*k - 5*j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 - 9*f**2 - 6*f + 6. Let x be i(-6). Let q be ((-44)\/x)\/(2\/519). Suppose 7*p + q = 54. Which is bigger: -18 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 257291\/705608 + ((-6)\/14)\/(88\/77)?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297096*i + 297111*i - 186 = 69 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -613*r - 84631. Calculate s(-138).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606 - 4*l**2 + 637 - 27*l**2 + 4*l**2 - 1267.\nAnswer: -27*l**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 10:35 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5176\/1551 - -515\/517. Solve 8\/9*i**3 + l*i**2 + 34\/9*i - 5\/9*i**4 + 8\/9 = 0 for i.\nAnswer: -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297*z - 298*z = -5. Suppose 4*k + 3*t = -z + 26, -31 = -4*k - t. Let m(b) = -b**2 - 7*b - 2. Let a be m(-5). Which is greater: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 3:02 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -0*s + 36. Suppose 0*d + 3*d - s = 2*n, 3*n + 15 = 5*d. Suppose i + 473 = 5*f, 4*f + 28 = -d*i + 414. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2038*i - 2038*i - 343*i**2 - 479*i**2 to the form g + v*i**2 + f*i and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {y: 1, s: 1, i: 2, q: 5, l: 1}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.57052 millimeters?\nAnswer: 0.00000157052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 - 5*f - 2. Let x be 9\/36 + (-19)\/(-4). Let t be k(x). Is ((-4)\/4)\/t*388 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*k**2 + 6*k**2 - 5*k**2)*(-60 + 166 + 68)*(0*k - k - k).\nAnswer: -4176*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**3 + 12*d**2 - 12*d. What is i(-8)?\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 3*b**3 - 11*b**2 + 21*b - 1. Is p(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*16*(-23)\/(-552)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20769 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 8:24 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.7621731 to one dp.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -12*o - 6*o. Let h be (-9)\/o*(-16)\/(-6). What is the highest common factor of h and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -48*a**3 - 50*a**2 + 6*a - 2. Let z(m) = -266*m**3 - 249*m**2 + 30*m - 11. Calculate -11*q(p) + 2*z(p).\nAnswer: -4*p**3 + 52*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1312 - -3142?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4284\/1889 at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*f + 1050 = -0*f, 0 = -4*f + 24. Which is the smallest value? (a) 3 (b) q (c) -6 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*n + 2, -1 - 9 = -4*b - 2*n. Let d(k) = 4*k**3 + k**2 + 4*k - 3. Does 18 divide d(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 5 (b) -0.5 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-11 - (-405)\/36))\/((-1)\/(-4)) + -23\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (-3 + sqrt(19))*3 - (-4*(2 + sqrt(19)) + 2)).\nAnswer: 14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 104*q - 91*q. Let g = 0.4 + 0.1. What is the nearest to q in g, -2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22013355 - 0?\nAnswer: 22013355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 46 = -0. Calculate the remainder when 157 is divided by d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 3*w - 7. Let v be ((2 - -8) + -3)*108\/(-126) - -12. What is y(v)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/11 and 833\/140 - 1\/(-4).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210.959 + -0.041. Let u = m - -210.5. What is the third biggest value in -1, 0, u, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/9 - 22*d\/3 - 121.\nAnswer: -(d + 33)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -71065878 divided by -3\nAnswer: 23688626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*(2597\/651 - 4)?\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5923 divided by 3657.\nAnswer: -5923\/3657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 192.5 - 147. Let l = u + -45.26. What is the biggest value in 4, 0.1, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*f + 4 = 3*j - 18*f, 8 = j + 4*f. Suppose 8*q - 94 - 498 = j. Calculate the smallest common multiple of 10 and q.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, -0.1, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-922)\/(-6) + 2\/(-3) is divided by 1143\/(-5715)*(-48 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2317 + 297419\nAnswer: 297416.7683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -90 - (24 + -94) - (1 + -3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 7*a**2 - a + 26. Let k be b(-6). Let u(i) = 7*i + 42. Let v be u(k). Put -1, v, -3 in descending order.\nAnswer: v, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + 18\/(2 - (-1832)\/(-912)). Which is greater: -2044 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73714.\nAnswer: 2, 36857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.74 and 6567?\nAnswer: -11426.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.34393 and -73.40535?\nAnswer: 72.06142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from jjljllljljlll?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3688)\/(-136) - 17) + -10.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7124 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 27. Let q = 22 - 25. Let k = -12 - q. Let s be d(k). Solve -2*y - 3*c - 2*c - 14 = s, -4*y = -4*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 - 6 = 8*h. Let o = h + -4. Let v(m) = -m**3 + 5*m**2 - 3. Determine v(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -z - 23, 0 = -5*m - 3*z + 12 + 18. Let t = 8 - m. Calculate the smallest common multiple of (t + 2)\/1 + 3 and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 91, 178, 263, 346, 427, 506, 583?\n\"Answer: -u**2 + 90*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -722 and -33.791.\nAnswer: 24397.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 418.97 + -419. Are 16 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n*q**3 - 2*n*q - 4676*n + 8563*q**3 wrt q?\nAnswer: -6*n*q + 51378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -4. Suppose 128 = -2*t + 6*t. Let y = -21 + t. What is the smallest common multiple of y and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -21b?\nAnswer: 21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 3\/6646?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = a, 5*j = -a - 0*j + 7. Let k(s) = -s**2 + 3*s - 1. Let b(h) = h**2 - 239*h + 80*h + 75*h + 25 - 24 + 81*h. Give a*b(q) + 3*k(q).\nAnswer: -q**2 + 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/20 - (-4)\/4*3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.92 - -2.12. What is the nearest to 1\/4 in 1\/7, -0.5, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of 5*d - 1\/3*d**3 - 7\/2*d**2 - 1. Let j be u(-7). Solve -j*v = r + 5, 2*v + 3 = 5*r + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28 + -1)\/3 + -8. Which is bigger: j or -3\/203?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 394, 386, 368, 334, 278, 194, 76, -82?\n\"Answer: -h**3 + h**2 - 4*h + 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307033, 307031, 307029, 307027?\nAnswer: 307025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -988\/3 + 326. Let u = 2469.8 - 2474.8. What is the third biggest value in -3\/7, u, r, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38 and 29346911?\nAnswer: 1115182618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fiffiififfinpfffynff. What is prob of sequence npf?\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29372 or 2\/241?\nAnswer: 2\/241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*p = 0, -v + 4*v - 13 = p. Let -2*r**v + 0 - 4\/3*r**5 + 2\/3*r**2 + 0*r**3 + 0*r = 0. Calculate r.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44378074?\nAnswer: 2, 13, 1706849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 94 + 2c?\nAnswer: c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/19 bigger than -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001182 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 7*j = -12*j, 3*i = -5*j + 24 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24018, -96104, -216276, -384534, -600878, -865308, -1177824?\nAnswer: -1538426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 0.53. Let h = 0.49984 + m. What is h rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30.8 + -38. Let h = f + 9.2. Which is the second biggest value? (a) h (b) 18 (c) 1\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8698 + -4869. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 8:58 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1099 - 1090. Which is the second smallest value? (a) -14 (b) z (c) -2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10100011100 (base 2) to base 16.\nAnswer: 51c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-20)*(2560\/24)\/(-8). Let q be (24\/(-15))\/2*5. Sort 5, 4, q, x in descending order.\nAnswer: 5, 4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148 and 6491540.\nAnswer: 240186980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, g: 1, b: 5, p: 7, d: 4, u: 1}. Give prob of picking 2 z and 1 p.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009137 to 6 dps.\nAnswer: 0.000091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -6*y**2. Let p(z) be the third derivative of -z**4\/24 + 17*z**2. Let n(r) = -2*r. Let d(f) = 3*n(f) - 5*p(f). Determine d(l(m)).\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 7*h - 37. Let z be w(5). Calculate the common denominator of 9\/8 and (6 - 66\/12)*(-106)\/z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 8)*((-3)\/4 - 17\/(-68))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1221\/154 - 7) + 6\/(-4). Let w = -0.2 - -5. Let l = -0.2 - w. Which is the closest to -0.1? (a) l (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 11415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 497)*(-6)\/2*-4. Suppose -5*d = 7*d - y. What are the prime factors of d?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**3 - 23*g**3 + 7*g**3.\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.79 - -0.29. Let l be 15\/(-6) - 4\/(-2). Is t <= l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z + 4 - z**2 - 7*z**3 - 404*z**4 + 203*z**4 + 204*z**4 + 4*z**3 in the form v*z + g*z**2 + p*z**4 + i + y*z**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -1 + (-5 - 0 - -14 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -369*y - 88 = -187*y - 174*y for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 2*v + 4. Let y be a(-7). Suppose 0 = -3*z + 84 + 135. Let i = z - y. Solve l + 12 = -3*n, -3*l = -0*n - 5*n - i for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1697?\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 514503.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 232789992?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.05 - -0.45. Let o = -151 - -150.11. Let q = 4.89 + o. Which is the second biggest value? (a) z (b) -1 (c) 1\/4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y**4 + 2*y**4 + 0*y**4 + y - 2*y**3 + y - 3 to a*y**2 + l + s*y**4 + m*y**3 + o*y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 + 5*j. Let h(s) = -3*s**2 + 6*s. Let k(y) = -6*h(y) + 7*u(y). Let r(p) = p**2 + p - 1. Determine -k(n) + 2*r(n).\nAnswer: -2*n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (3 - (-1 + (-8 - -6))) - (1 + -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {t: 1, n: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 4 = -5*l + 16, -4 = a - 3*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 2*x = -22, -5*d + 2*x = 4*x - 26 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*x - 138, -n - 2*n - 2*x - 132 = 0. Let p be n\/(-63)*(-183)\/(-1). Suppose 2*r = 3*a - p - 123, 3*a + 3*r - 240 = 0. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2, -0.5, -29\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u = 226 - 71 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/2 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 40 = -2*x - 2*s, -242 = -5*x - 4*s. Suppose 2*a - x + 2 = 0. Is a a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c - j, -j - 2*j = -3*c + 36. Let q = c - -6. What is the remainder when (2 - -10) + (50 - 9) is divided by q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 14*b = 3*z - 78, -3*b + 12 = 0. What is the remainder when 446 is divided by z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.2. Let o = -0.5 - a. Let c = -5.06 + 0.06. What is the nearest to 0.1 in 0.3, c, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 75*a.\nAnswer: 3*a*(a - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) 1 (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 25301757*l. Let g(k) = 3*k**2. Determine g(j(u)).\nAnswer: 1920536721861147*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(17)*3)**2 - sqrt(17)) + 0.\nAnswer: -13*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 1 = 26 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13\/7? (a) 1807 (b) 5 (c) 1\/2 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21465 and 72981?\nAnswer: 364905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/60 - s**4\/8 + 10*s**2. Let q(j) = j**3 + 6*j**2 - 8*j - 7. Let b be q(-7). Let c(h) = h - 3. Let t be c(b). Give w(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 c when two letters picked without replacement from ddcdddc.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -171, -5, 30, 151, -4 in descending order.\nAnswer: 151, 30, -4, -5, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -13*o**2 - 96*o + 624. Give n(4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 6. Let r(k) = -5*k - 6. Let p(x) = 6 - 5*x - 1 + 12 + 19*x. Let b(u) = d*p(u) - 17*r(u). Let q(t) = 2*t**2. Give q(b(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 75735 a multiple of 394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1030 + 12713. What are the prime factors of l?\nAnswer: 7, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.026 + 7.726. Let i = -7.5 + d. What is the nearest to -0.1 in i, 4, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 5*k**2 - 4*k - 2. Let s be p(-3). Let m be 85\/4 - (-2)\/s. Let y = m + -5. Does 8 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1579 - 94 = -1193*i + 2435*i - 1107*i for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - l - 5 = 0, 5*o + 43 = -3*l + 7*l for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine halves of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -0.05, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 223228\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -484\/785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -575*d**2 + 575*d**2 + 15*d**4 + (6*d + 1 - 1)*(-27*d**3 + 12*d**3 + 20*d**3).\nAnswer: 45*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-5*sqrt(108))*-3.\nAnswer: sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158387707?\nAnswer: 158387707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 41*b**3*s**2 + 173*b**3*s - 751*b**3 - 2119*b*s**2 + 9*b*s + 14*b + 2 wrt b.\nAnswer: 246*b*s**2 + 1038*b*s - 4506*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3202256 - -3?\nAnswer: 3202261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -134, -328, -622, -1028, -1558, -2224, -3038?\nAnswer: -4012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0183 and -1.042.\nAnswer: -0.0190686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27525840400 - -38.6.\nAnswer: 27525840438.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-72)\/(-30)*(-20)\/(-6) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k + 119 = 0. Suppose 5*s - k = 81. Let a = 72 - s. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -4, -174.\nAnswer: -174, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -146458999 + -0.5\nAnswer: -146458999.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5*p**2. Let j(s) = -5*s**2 - 599*s + 2*s**2 + 601*s. Let b(o) = -39*o**2 + 27*o. Let u(r) = 2*b(r) - 27*j(r). Determine f(u(m)).\nAnswer: -45*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 608 a factor of 4611723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.2. Suppose 0 = 89*a - 288*a - 5027 - 11092. What is the nearest to v in a, 2\/5, -1\/5, -5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*a - 2*f - 1, 3*f = 4*a - 4. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 530 - 369. Let u = -229 + w. Let t be (u\/(-8))\/((-4)\/(-8)). What is the greatest common divisor of t and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0524 + 0.0476. What is the nearest to 17 in f, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 12 - (-224 - -93 - -63)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1507 and 461527.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 334 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: Factor -3*s**2 - 3804*s - 1205868.\nAnswer: -3*(s + 634)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*q + 28*q + 2*q + 60*q - 21*q.\nAnswer: 172*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2962.96453 rounded to one decimal place?\nAnswer: -2963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - u)*((3*u + 3*u - 4*u)*(3 - u - 3) - 4*u**2 + 3*u**2 - u**2 + 1 + 2*u**2 - 1 + 3*u**2 - 2*u**2 - 2*u**2).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30725?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154778 is divided by 6446?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 11 - 11)*(-2*c - c + 2*c) + (3 + c - 3)*(-7 + 0 - 3) - 28*c - 36*c + 46*c.\nAnswer: -20*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -508*q**2 + 2*q + 2 + q - 725*q**2 + 249*q**2.\nAnswer: -984*q**2 + 3*q + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 2*o - 5*o + 0 + 0 - o + (-1 + 1 + 2*o)*(-2 + 0 + 3) + 3*o + 1 - 1 + 0*o + o + o - 2*o + 0 + 0.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5598094 is divided by 19922?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/548 and -95\/13464.\nAnswer: 1844568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 + 773 = -10*m. Let u = 114 + m. Calculate the common denominator of ((-178)\/(-44) - -1) + u\/(-2) and 85\/76.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -539, -543, -549, -557, -567?\n\"Answer: -h**2 - h - 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/x**1))\/x)**(2\/37)*((x\/x**(1\/3))\/x)**(1\/25) assuming x is positive.\nAnswer: x**(-1\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/((sqrt(324) + sqrt(36))\/sqrt(9) - sqrt(4)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47244*u**2 - 34153.\nAnswer: 94488*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 804608 a multiple of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12610 - 9883. Calculate the highest common divisor of u and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 1379 = -1065. Calculate the greatest common factor of c and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6197253407 to the power of 1\/3, to the nearest integer?\nAnswer: 1837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a kilogram in grams?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-14))\/((-155)\/70 - -2). Let a be (6\/(-4))\/((-2)\/4). Solve 0 = -a*g - 5*o + 10, 3*g - c*o = -4 - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10 - (-84)\/24)\/((-5)\/34070) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 11561 = -0*q. Let f = -732 - q. Calculate the highest common factor of f and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16461 - 16461 + 44*d**2 + d - 2*d**2 - d + (0*d**2 - 4*d**2 + 5*d**2)*(0 - 4 + 3) - d**2 - d**2 + 0*d**2 + d**2 - d**2 + 2*d**2.\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 10*k - 37)*(-787981*k + 1575949*k - 787975*k - 740) to u*k + z + m*k**2 and give u.\nAnswer: 7400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/25*(-11)\/(198\/(-60))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = -3*h + 8*t + 13, 3*h + 5*t = 19 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 373, -2\/5 in descending order.\nAnswer: 373, 5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57 is divided by 33.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(6\/17)*i**(-1)*(i\/(i\/((i\/(i*(i\/(i\/(i*i**(-2\/71)*i)*i))\/i))\/i)))**44)**(-43) assuming i is positive.\nAnswer: i**(2237634\/1207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 2)*(-6*n + n**2 + 6*n) - 3*n**2 - 8 + 8.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -206 + 212. Let q(c) = 5*c - 19. Let h(g) = -4*g + 17. Let a(d) = p*h(d) + 5*q(d). Calculate a(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21542 is divided by 775.\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azkzzaaa. Give prob of picking 1 k, 1 z, and 2 a.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 5*g**2 - 7*g - 7. Suppose 5*c + 5*o + 40 = 0, c - 3*c + 2*o = 8. Is w(c) a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1695.073965 rounded to the nearest 10?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17, 0, 5, 0.05, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 - 12 = -8*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*2\/24*(-100)\/(-12)*(22 - 24).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7218550.\nAnswer: 2, 5, 23, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 21 = 3*c, 3*c = -3*t + t + 18. Let j(l) = t*l - 8 - 2*l + 2 - l**2 + 5*l**2. Calculate the remainder when j(4) is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + 1)*(15 + -14). Suppose q*r + 3455 = 5*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283286617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -390, -838, -1454, -2238, -3190, -4310?\nAnswer: -5598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-6 - (-3 + 2)) + (-23 - -21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2363 and 221.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*o + u = -677*o + 22, -131 = -3*o - 17*u + 101 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 149*t - 2543. Calculate m(38).\nAnswer: 231","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-26)\/3744*-18*24. What is the highest common divisor of s and 7674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 140 = 22*x - 11*x. Suppose 132 + 47 = 2*s + z, 4*s = 2*z + 378. Let f = 11 + s. Calculate the remainder when f is divided by x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**2 + 115*d + 450 = 0 for d.\nAnswer: -18, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.43 + 2.03. Which is the smallest value? (a) -3 (b) 3\/7 (c) -7\/5 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/5)\/z**6)**(4\/3))**37 assuming z is positive.\nAnswer: z**(-4588\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + (sqrt(72) - (1 + sqrt(72))) - (-4 + 1 + sqrt(72)) - (sqrt(72) + -5 + sqrt(72)*3 + -2)))**2.\nAnswer: -180*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v\/(v\/(v**(-16)*v))*v*v*v)*v)\/v**(-9\/7) assuming v is positive.\nAnswer: v**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**3 + 395052*b**2 + 19508655384*b + 39015730576 = 0 for b.\nAnswer: -98762, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10096 (base 16) to base 9\nAnswer: 110084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s + 66. Let u be h(-9). What is the second derivative of 14213 - u*k + 18*k**2 - 14175 + 2*k wrt k?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) -11 (c) 15513 (d) -5 (e) 4 (f) 7\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -24 - (-35 - (-184470)\/(-7689) - -35)\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1747, -2940, -4133, -5326?\nAnswer: -6519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 333 and 185.\nAnswer: 1665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s - 4*s + 1628 = -2*s. Let o = -58 - -117. Let r = s - o. What is the remainder when 25 is divided by r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.05. Let t = 1.67 + -2.67. Put j, 4, -0.3, t in decreasing order.\nAnswer: 4, j, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 362 and 174780?\nAnswer: 31635180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113090199\/75082672 + 1\/466352. Let q = -1\/161 + p. Determine c so that 3\/4*c - 6*c**2 - 3*c**3 + q = 0.\nAnswer: -2, -1\/2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40984351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -513, -686, -937, -1272, -1697, -2218?\n\"Answer: -s**3 - 33*s**2 - 67*s - 412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s**2 + 7*s - 1. Let c(k) = 9*k**2 - 13*k + 3. Let p(l) = -6*c(l) - 11*z(l). Suppose -5*u + 2*u = v - 3, -2*u - 4*v = -12. Determine p(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/28 and 54\/1590253?\nAnswer: 6361012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -162 (b) 4 (c) -0.2 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b**2 - 168*b + 76. Calculate w(-34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13*0.9.\nAnswer: -0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -28, -51, -60, -49, -12?\n\"Answer: t**3 + t**2 - 33*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 6:37 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ft when two letters picked without replacement from pfpufpfppputpjfppf.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*f - 4*h + 5*h + 10, -67*f + 8 = -71*f + 4*h for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -4. Suppose 0 = 9*v - 715 + 13. Let k = -73 + v. Solve k = -m*j + j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 26*a**2 + 182*a - 743. What is s(8)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 539824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 5) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48232.\nAnswer: 2, 6029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 5*n - 1. Let a be r(-6). Suppose 8*w - 12 = a*w. What is the common denominator of ((-1)\/w)\/((-8)\/(-80)) and 74\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-264)\/(-10) + (-645 - -618)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/624 and -99\/104?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5713 divided by -6566?\nAnswer: 5713\/6566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + f = -50 - 2, -3*o + 4*f + 154 = 0. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111 + -106. Solve l + 2 = 0, 2*d - u*l - 26 = -2*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 576115.8kg?\nAnswer: 576115800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -178909, -357826, -536743, -715660, -894577?\nAnswer: -1073494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 9:14 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 + (-24)\/48*204?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 9.913966 millilitres?\nAnswer: 0.009913966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -821, -6654, -22495, -53348, -104217, -180106, -286019, -426960?\nAnswer: -607933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**2 - 5*k. Give x(9).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 514*w**3 + w**2 - w - 1. Let m be o(1). Suppose 4*b = 5*u - 123 - m, -146 = b + 2*u. Let k = -81 - b. What is the tens digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 204 + 199 = 0. Solve -x*t - 10 = -18*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/4 + 55\/(-60). Let r = 4890.2 - 4890. What is the closest to r in 14, z, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 475 + 30?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -22, -10 in ascending order.\nAnswer: -22, -10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5 - -4) + 0)*(2 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/1313972 and 41\/328493.\nAnswer: 1313972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 46 - 0 - (-1 + -22)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 240160131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/((-13)\/(-65)*(-15)\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b**4 + 4*b**2 + b + 4. Let m(o) = 140*o**4 + 55*o**2 + 15*o + 55. Let n(a) = 4*m(a) - 55*u(a). Find the second derivative of n(j) wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 40961\/5 or 2\/3?\nAnswer: 40961\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -923267*i**2 + 36*i - 25*i**3 + 923267*i**2 - 36*i + 31*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4159*s**2*u**3 - 336*s**2*u - 2*s*u + 10*u**3 - 2*u**2 + 358*u + 11 wrt s?\nAnswer: 8318*u**3 - 672*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -1. Suppose 14*p - 128 + 72 = 0. Solve -4*i + h*m + 8 = -0, -2*i + p*m = -10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.09, 1\/4709, 3, -1 in increasing order.\nAnswer: -1, 1\/4709, 0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 1857*a + 11172. What is k(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y - 2*y**2 + 3*y**2 + 1 + 9*y - y**3. Let d be o(0). Let h(j) be the second derivative of -j**3\/3 + j. What is h(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = -2*g - 0*g. Let l(x) = -x**3 - x + 78. Let j be l(0). What is the greatest common divisor of j and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-272))\/(31\/14 + -2)?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.23 + 10.87. Let a = k + -12. What is the nearest to a in -0.1, 4, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/3))**(-48))**(-2\/5) assuming c is positive.\nAnswer: c**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 215 = -5*g, 5*g - 207 = -56*s + 55*s. Solve -21 + g = 4*l - 4*k, -5*l + 4*k = -24 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 149728 * 9\nAnswer: 1347552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 252.8 - 251.8. Sort 11, -506, l in decreasing order.\nAnswer: 11, l, -506","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51779 or 51771?\nAnswer: 51779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 20246775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*k**3 + 57*k**2 - 57*k**2 + 6*k**3.\nAnswer: 16*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g + 13 = 2*i + 12*g, g - 40 = -5*i. What is the lowest common multiple of i and (9\/6)\/(6\/80)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7793446*o + 5036735.\nAnswer: -7793446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.812 and 26219366.\nAnswer: 26219365.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2427871 divided by 6.\nAnswer: -2427871\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -233959 by 1.\nAnswer: -233959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -563*n**8\/336 - 59*n**4\/24 - n**3\/3 - 302*n**2 - 2*n. Find the second derivative of q(u) wrt u.\nAnswer: -11260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299*t**2 + 1748 - 1740 - 1476*t**2)*(2*t**2 + 0*t**2 - 3*t**2).\nAnswer: 1775*t**4 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7 - ((-1995)\/756 - 2\/4) and -73\/45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 - 152. Let o(s) be the second derivative of 0*s**3 - 1\/12*s**l + 0*s**2 + 4*s + 0. Let x(h) = -3*h**2. Give o(x(j)).\nAnswer: -9*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 780277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*x = 113*x + 17 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/369 and 49\/10086.\nAnswer: 30258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 15\/(-18) - 699\/(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of w**2\/2 - 32. Let j(n) = 2*n**2 + 45*n. What is g(j(p))?\nAnswer: 2*p**2 + 45*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/5)\/((p**(-6)\/p)\/p))**(-13\/4)*p**4*p**1*p**(-2\/3)\/(p*(p**(2\/3)\/p)\/p) assuming p is positive.\nAnswer: p**(-679\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2642 * 3\nAnswer: 7926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1634\/5 + -327. Is 0 less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4214585 to the nearest integer?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -4.8, 0, -1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2 + 6 + 21 + f + 13. Let m(p) = 4*p - 4. Let y be m(-4). What is the remainder when i(y) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94 - 11\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -34218*h. Let g(s) = -13*s + 9. Determine x(g(l)).\nAnswer: 444834*l - 307962","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*u**2 - 2 + (u - 3*u + 3*u)*(3*u - 4*u - 6*u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 55, -787, -2243, -4319, -7021, -10355, -14327?\n\"Answer: -v**3 - 301*v**2 + 68*v + 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - 1 - -9.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y**3 - 10559*y**2 + 42231*y + 5. Give a(4).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 1 (c) -5\/6 (d) -3 (e) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 667812463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8703*p - 147944. Calculate x(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 11*l**2 - 8*l + 2. Let x(v) = 0*v**2 + 1 - 5*v + 9*v**2 + v**2 - 3*v**2. Suppose 5*d = 44 - 4. Calculate d*x(m) - 5*h(m).\nAnswer: m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222*k - 221*k = -3. Let t(x) = 8*x**3 - 7. Let i(h) = 1 - 8*h**3 - 2*h + 2*h + 7*h**3. Determine k*t(g) - 21*i(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83312.38744 - 2.\nAnswer: -83314.38744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1094*p**3 - 2 + 5 + 1 - 3820*p**3 - 4.\nAnswer: -4914*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 302895289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -41458ec?\nAnswer: -41458e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -105 - 138. Let v = 243.2 + m. Which is the nearest to 1? (a) 1\/2 (b) -15 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -236 + 116 + 120 + 703*r**2 to s*r**2 + x + f*r and give s.\nAnswer: 703","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*y - 353 = -51*y + 990 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*y + 3 = -5, 2*y = 3*i - 4. What is the nearest to 2\/7 in -0.05, i, -2\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/10)\/((-18)\/45). Suppose -2*j - m*g = -16, -j - 3*g + 12 = -0*g. Solve j = 3*s + 8 + 4 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, h: 4, o: 3, q: 2, k: 6, l: 2}. What is prob of picking 3 h?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 23178000 rounded to the nearest one hundred thousand?\nAnswer: 23200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(432)*-1 + (sqrt(432) + -2)*6)*-2*4)**2 + -4.\nAnswer: -221184*sqrt(3) + 3990524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 828894 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 313415 and 752196.\nAnswer: 3760980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/56 and 31\/1106?\nAnswer: 4424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.065 + 115.935. Let a = -115.9999756 + s. What is a rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -79, -5\/2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 86, 169, 252?\n\"Answer: 83*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 63 = 6*s - 5*f, 0 = -4*f + 12. Let p be (1 - 0)\/((-6)\/s) + -2. Solve -5*k + 3*k = p for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.13 - 0.37. Let p(z) = z**2 - 13*z - 3. Let f be p(13). Suppose -5*n - 4*n + 18 = 0. Put f, n, d in ascending order.\nAnswer: f, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuurrrr. Give prob of picking 2 y and 2 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -312, -588, -864, -1140, -1416?\n\"Answer: -276*w - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 27. Let z = w + 30. Suppose -2*t + 2 = 2*x - 0, -4*x - t + z = 0. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/9 (b) -1\/594 (c) -0.5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -20, -j - 3*j + 2*z = 6. Let n = j + 0. Suppose 5*p = -3*v + 31, -3*v + 7 = n. Which is the smallest value? (a) p (b) 1 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*f - 287*f**2 - 9*f.\nAnswer: -287*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 0 - -12 - (-10 + 8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 2*j + 14, 5*v + 3*j + j = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 257*g - 36 = -253*g, -3*n - g = 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105960581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 + 34588*l - 4777952 = 0.\nAnswer: -8783, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 229*s**2\/2 + 1902*s + 2294. What is the derivative of p(q) wrt q?\nAnswer: 229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0414 + 1078.\nAnswer: 1077.9586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -721*w**3 - 329*w - 5*w**5 - 1079*w**3 + 165*w**4 + 329*w + 6480*w**2 = 0.\nAnswer: 0, 9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18517 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-84)\/56 + 566\/4. Find the second derivative of -38*w**4 + u*w**4 - 31*w**4 + 70*w - 23*w**4 wrt w.\nAnswer: 576*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9417 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2, 0, 1 in increasing order.\nAnswer: -2, 0, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) -7\/26 (c) 5 (d) 4 (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*s - 20*s - 4*z + 40, 5*s - 3*z = 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16714 - -32.\nAnswer: 16746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 4 = 6, 38 = 3*n + 3*i + 71 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -15 (c) -0.531 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.086 to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = j - 2. Let l = 17 - 15. Solve -a + j = -l*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 at least as big as 4.6387?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202 + 210200021?\nAnswer: 210201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + f + 0*f = 11, 5*w - 16*f + 35 = -15*f + 60 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2494766 or -2494764?\nAnswer: -2494766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 956580.9nm to meters.\nAnswer: 0.0009565809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -402261\/43 - -9355. Sort g, 4\/3, 5, -0.5 in increasing order.\nAnswer: -0.5, g, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(104) - sqrt(104)*-2)*6)\/(sqrt(896)\/sqrt(7) - sqrt(8)))**2 + 5 + sqrt(13) + sqrt(468)*1 + sqrt(39)\/sqrt(3)*-3 + 2.\nAnswer: 4*sqrt(13) + 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 184, -3\/2, 20500, 0.3 in descending order.\nAnswer: 20500, 184, 0.3, -1, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 36.60074 days?\nAnswer: 3162303936000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:31 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:05 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 606 - 599. Let o(r) = 28*r**2 - 32*r + 295. What is the units digit of o(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 2088*o + 10. Let d(t) = -79*t. What is h(d(c))?\nAnswer: 6241*c**2 - 164952*c + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 204, 421, 666, 945, 1264?\n\"Answer: y**3 + 8*y**2 + 186*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-28))\/(t\/t**(1\/25))*(((t\/(t*t*t\/(t\/t**(2\/31))))\/t)\/t)\/(t**(-13)\/t) assuming t is positive.\nAnswer: t**(-13194\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 896, 1066, 1564, 2564, 4240, 6766?\nAnswer: 10316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.3 + 0.2. Let d(o) = -14452*o + 43356. Let q be d(3). What is the smallest value in 0.8, q, 4, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a week in minutes?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2 = 2. Let u = -5 + v. Let j = -6 - -5. Are u and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-3 + sqrt(128) + 0)**2 + (1*-1*(sqrt(2) + -3))**2) + 1.\nAnswer: -216*sqrt(2) + 593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**4 - j**3 + 5312*j**2 + 60209*j?\nAnswer: -36*j**2 - 6*j + 10624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*g - 5*i, 2*i + 2*i + 61 = 3*g. Suppose 4*l = 2*l + 8. Suppose -l*c = c - 40. What is the remainder when g is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 + 17*i**2 - 3*i**2 - 4*i**2 - 251*i.\nAnswer: 8*i**2 - 251*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -1. What is the second smallest value in t, -4, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 4 + 25 + -14 + -1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of -3\/2*y**2 - 14 + 0*y. Let c(n) = -5*n. Determine c(p(m)).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 3*o = -4*j + 32, -3*j + 24 = 4*o. Suppose k + 3*y - 8*y = -j, -3*k = -4*y - 31. Is 4 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 12:20 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-8)\/2832*-6. Is -0.7 at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - x**2 - 2*x - 4. Let f be (-228)\/(-18) - 6\/9. Let n = -9 + f. Give b(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 + 16*n + 33. Let u be d(-14). Suppose v - 3*y = 8438, -3*v - 33759 = -7*v + u*y. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*f = 0, -3*f + 14 - 3 = -2*g. Suppose -g*z = -5*z + 30. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -288571 or -288566?\nAnswer: -288571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5*g + 4)*(46*g**2 - 93*g + 4 + 55*g + 36*g).\nAnswer: -230*g**3 + 10*g**2 - 20*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*s - 48*s - 17 + 11 + 6.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 630 + -683.6. Let v = l - -57.87. Let a = 0.17 - v. What is a rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 35*t**4\/24 + 2*t**2. Let k(c) be the third derivative of c**5\/30 - 19*c**2 + 8*c - 15. Calculate u(k(a)).\nAnswer: 70*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11140017 and 1749?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201230?\nAnswer: 2, 5, 20123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*a**4 - 920272*a**3 + 13746058*a**2 - 32135532*a - 2456208 = 0.\nAnswer: -17057, -2\/27, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + -11. Does 3 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {b: 1, l: 2, t: 3, v: 1, g: 2, n: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 - 14. Which is smaller: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -752586*i**2 + 177878*i.\nAnswer: -1505172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 6, c: 4, w: 2, a: 1}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.6 - 197.4. Let r = -223.96 - h. What is the biggest value in 0.5, -4, r, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 19?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001467 rounded to 5 dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(336\/(-111) + 3). Let p = x + -14. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 32, 29, 26, 23, 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 8726.\nAnswer: 366492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g. Let f(b) be the first derivative of -7*b**3\/3 - 51*b**2\/2 - 2*b + 7508. Determine y(f(q)).\nAnswer: 7*q**2 + 51*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 0.5 (c) 9\/23 (d) -0.06 (e) 2\/131 (f) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 73378 and 99.\nAnswer: 7264422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1424844?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-24)*9\/6*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 5, 3\/8, -2 in decreasing order.\nAnswer: 5, 2\/3, 3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - 5*j - 4. Let b be q(6). Let p(w) = w**2 - 3*w - 7. Let u be p(4). Let g be (0\/(b - -2))\/u. Solve 3*a = 2*h - 1 - 9, g = -3*h + 3*a + 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1*-4*sqrt(243) + 2 - -6*(sqrt(243) + 4*sqrt(243) + 0)))**2 + -2.\nAnswer: 4896*sqrt(3) + 1123646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -17*t + 88. Determine g(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, x: 6, c: 3, d: 1}. Give prob of picking 1 b and 1 d.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(-4)\/16 + ((-25)\/(-4) - -2)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6\/11 - -52\/55. Let t(g) = -5*g**2 + 16*g + 13. Let i(x) = -x**2 + 4*x + 3. Let u(f) = -9*i(f) + 2*t(f). Let k be u(-4). Are b and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*h**2 - 2673*h + 14364.\nAnswer: -3*(h + 228)*(4*h - 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -3471385 greater than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3858, 3952, 4046, 4140, 4234?\n\"Answer: 94*c + 3764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of g**3\/3 + 1. Let l(c) be the first derivative of c**4\/6 - 4*c + 6. Let q(y) be the first derivative of l(y). What is q(x(b))?\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*g = -80*g - 4*j, 0 = 3*j for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10221001221 (base 3) to base 6\nAnswer: -1353554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 314462, 628961, 943460, 1257959?\n\"Answer: 314499*w - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d**3 - d**2 - 5*d. Let h(u) = u**3 - u**2 - u. Give -3*h(l) + y(l).\nAnswer: -5*l**3 + 2*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/16)\/(6\/(-4))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -4.1\nAnswer: -1.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*w - 59*w - 52*w.\nAnswer: -75*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*g + 35*g - 117. Calculate the remainder when g is divided by 32.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23381, 46779, 70199, 93653, 117153, 140711, 164339, 188049?\nAnswer: 211853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*y + 6, 0 = -3*k - 3*y - 6 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10772 + 10771. Let d = -0.1 + 1.1. What is the third smallest value in d, -2\/5, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 219054 to the power of 1\/2, to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*d = 1 + 21, 0 = -4*z + 4*d - 32 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 25 = -i. Solve -13 - 2 = 4*j - y, 3*j = 4*y + i for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-16)\/2 - (-4 + 0))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**6\/48 - 3*o**5\/4 - 25*o**4\/4 + 250*o**3\/3 + 174*o**2 - 2. Determine b so that g(b) = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + k)*(58*k**3 - 1137*k**2 + 1137*k**2) as l + h*k + i*k**4 + r*k**2 + g*k**3 and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + 6*(3*(1 + sqrt(1216)) - -3*(1 + sqrt(1216) + sqrt(1216))) + -1)**2.\nAnswer: 30240*sqrt(19) + 3547080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 2*s**2 - s**3 + (-s**2 - s**2 + 0*s**2)*(0*s + 0*s + 2*s) + 5*s + 3*s**3 - 5*s - 5*s**3 + 7*s**3 - 18*s**3)*(12 + 4 + 5).\nAnswer: -378*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 8) to base 3.\nAnswer: -2020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41862 greater than 41871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-5)*w**(2\/9)*w**(-4\/9)\/(w\/(w*w\/(w**(2\/25)\/w))) assuming w is positive.\nAnswer: w**(1732\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 5\/207?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 16*i + 18. What is the remainder when 6*(-16)\/(-2) - -3 is divided by w(-16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/33 and -65\/1128.\nAnswer: 12408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.19 (b) 23 (c) -4.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 4:06 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/374 and 49\/10516.\nAnswer: 178772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10111?\nAnswer: 11100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000865809 rounded to 7 decimal places?\nAnswer: -0.0000866","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -7. Let j = 8 + k. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 282*s = 90*s. Let f(x) be the second derivative of 1\/12*x**3 + 1\/24*x**4 + s - 1\/2*x**2 + 21*x. Factor f(q).\nAnswer: (q - 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52*b**5 - 1229046*b**4 + 195848737*b**2.\nAnswer: -3120*b**2 - 29497104*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 2*h - 10. Suppose 0*o = 4*o + 5*y - 17, 3*o - 3*y = 6. Suppose 6 = -o*p + 4*p. Solve u = -2*z - h, -z - z - p = -u for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4555 (base 8) to base 10.\nAnswer: 2413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/((-49495)\/570 + 94)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*y + 1617*y**2 - 90*y**3 - 1617*y**2 + 7*y + 25*y**3.\nAnswer: -65*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 20 = 0, j + 12*v = 17*v + 11802. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 10:55 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 8*u - 33*u + 5*u + 5*u + 9*u.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*z = -101*z - 834. Let p be z + -1 + (-7 - 14)\/(-7). Suppose -p = -10*r + 6571. What is r rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -44*z + 418. Calculate the remainder when m(8) is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -2130?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (2*sqrt(900))\/sqrt(12) - (sqrt(243) + 3 + 1 + sqrt(243)))*-6 + 5)**2.\nAnswer: 5088*sqrt(3) + 9721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (56 + 6226\/(-110))\/((2\/(-65))\/2)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*o + 48 - 15 = -88 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m**2 + m - 6. Let u be s(3). Suppose -2*r = 2*o - 30, -5*r + 5*o = 14 - u. Calculate the remainder when r is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**5\/4 - x**4\/4 - x**3\/3 + x**2\/2 - 50*x. Let s(q) = -6*q**3 - 4*q**2 - 3*q + 1. Calculate 3*p(d) - 2*s(d).\nAnswer: -3*d**3 - d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00010403 to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1119.913452ns in weeks?\nAnswer: 0.00000000000185170875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -279.69397 to the nearest 10.\nAnswer: -280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 205363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 0 + 0)*(1 + 0 - 3) + 0 + 0 + 2*l + (4*l - 3*l - 2*l)*(1 + 2 - 2) - l + 6*l - 3*l + 2 + l - 2 + 0*l - 3*l + 4*l.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213 + -266 - (-29 - 0).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3\/2 - 163916*a**2 - 26929654733*a\/2 - 5012943677467 = 0.\nAnswer: -163729, -374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 - -119. Suppose -5*p - r*d + 62 = 0, 0 = 5*p + 2*d - 6*d - 34. Solve -2*s - 5*k - p = 0, -3*s + 0*k = -k - 2 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*14184262\nAnswer: 28368524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. Suppose -4*q = -5*v - 148, -m*v = -2*q - v + 72. Calculate the greatest common divisor of q and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/22, -0.07, -1\/6, -1, -3, -3.731?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 70*h - 10. Calculate f(2).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.88 + 0.12. Let z = b - 3. Let h = z - 2.045. Round h to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3131)\/(-101) + 0 + -31. Suppose -3*h + y = -0 + 4, -5*h + 10 = -5*y. Let z = 5 + h. Solve 2*j + g*t = -2*t, -3 = z*j + 3*t for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 r when two letters picked without replacement from dshdrdo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = y - 4*b - 1, -2*y - 4*b + 4 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 13*i - 11*i + 8)*((4 + 2*i**2 - 4)*(-4*i + 6*i - 3*i) - 5 - 2*i**3 + 5 - 2*i**3 - 2*i**3 + 5*i**3 - 4*i**3 + 2*i**3 + i**3).\nAnswer: -8*i**4 - 32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1701 = -564*u + 674*u - 5221 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-210)\/7 + 2256\/102 - ((-6)\/(-51) - 0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -3*c - 75, 6933948*i = 2*c + 6933957*i + 69 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272 - 280 = 8*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 571372*v - 7999394. Calculate t(14).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2850)\/(-120) + (-3)\/(-10)*265\/318.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3760 + 89?\nAnswer: -36c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -110 - ((-9 - (10 - -10)) + 44)?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 - o - 5. Let l(y) = 2. Let s(x) = -2*j(x) - 5*l(x). Let g be s(-2). Suppose -3*m = -g*m. Which is the nearest to 0.1? (a) m (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169512405?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1377))**2*-3.\nAnswer: -4134 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (1 + 10\/(-4)). Let q(p) = -p**2 + 102*p - 2497. Let k be q(61). Put k, 0.5, 1, o in increasing order.\nAnswer: 0.5, 1, o, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-27 - -22) - ((-2 - -4) + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10198848 a multiple of 1678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 0.51?\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 - -0.2. Let u = p - -0.4. Let c = 0.2 + u. Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 5. Suppose 2*t = -4*u - 28, -2*u - 3 = -4*t + 1. Put u, -4, z in increasing order.\nAnswer: u, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7098731ml?\nAnswer: 0.0007098731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 476\/(399840\/(-1400)) - 8\/10*(-170)\/(-12)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of d*h**4 + 224*d*h**3*s - 7*d*h + 86*h**4*s + 2*h**2 - 2*h*s - 3*h - 8*s wrt h?\nAnswer: 24*d*h + 1344*d*s + 2064*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2.8. Let n(p) = -p + 2. Let v be n(5). Which is the closest to l? (a) 3 (b) -3\/2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85448920*b - 2672772.\nAnswer: 85448920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -6950270 bigger than -6950270?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2093 is divided by 553?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19559 to two decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1083 + 1155. What is the remainder when 351 is divided by u?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 1\/2, -6, -0.2, -10 in decreasing order.\nAnswer: 1\/2, -0.1, -0.2, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - -3 - (21 - (-15 - -28)). Sort o, -56, 0, 6.\nAnswer: -56, o, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -503497, -1004631, -1505765?\n\"Answer: -501134*a - 2363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2516 (base 13) in base 14?\nAnswer: -1cb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/36*-10*(-819)\/(-1365)?\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158123596.\nAnswer: 2, 17, 311, 7477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536386094 to the nearest integer?\nAnswer: 23160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + sqrt(242) + 1 + -6*(-2*sqrt(242) + sqrt(242)) + sqrt(242))**2.\nAnswer: -528*sqrt(2) + 15497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -734 - -733.5. Which is smaller: r or -28?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34744918 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3 + 3)*(-g + g - g) + 5*g**2 + 8 - 8 - g**2 - g**2 + 0*g**2 + (-3 + 4*g + 3)*(2*g - 2*g + g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159*h = -65*h - 846. Solve h*u + 130 = 76 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107 + 126 + 14 - 3*y**2)*(-y**2 - y**2 + 4*y**2).\nAnswer: -6*y**4 + 494*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 1:39 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 3*z - v = -12, 0 = 4*v. Let d(b) = -b**3 + 4*b**2 - 6*b + 1. Let a be d(z). Find the common denominator of a*(27\/(-15) - -2) and 46\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 389460 and 35?\nAnswer: 2726220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 4. Let d = 0.09 + 0.81. Let y = -1 + d. What is the third biggest value in 1\/3, y, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*r - 81*r - 260 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78774611?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1822*a + 96 = 1798*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/4 (b) 0.3 (c) 5633 (d) 114\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.5, 4, 46, 3 in increasing order.\nAnswer: 0.5, 1.2, 3, 4, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3))**40)**(-39) assuming t is positive.\nAnswer: t**4680","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.1 - -13. Let o = 5.4 + -5. Which is the nearest to h? (a) o (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*u = -25. Suppose 6*j - 10 = u*j. What is the units digit of (23 + 7)\/(4\/j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1596 and 2736.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*h**4*j**2 - 2*h**2*j*z - 3*h**2*z + 4*j**2 + 22*j*z wrt h?\nAnswer: -8*h**3*j**2 - 4*h*j*z - 6*h*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -10, -13, -14, -13, -10, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w - 2. Suppose -2*t = 2 + 2. Let q be l(t). Which is the nearest to q? (a) -0.5 (b) 0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -9028*b - 47. Is v(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4425518*s - 5690480.\nAnswer: 4425518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 2. Suppose -5*w - 6*w = -77. Suppose 10*r = w*r - 42. Let t be (-4 - (-62)\/14) + (-120)\/r. Give s(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7269, -21481, -35695, -49911, -64129?\nAnswer: -78349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*2*(0 + sqrt(3)).\nAnswer: -6*sqrt(3) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3070222\/9 + -338061. Let s = 2858 - 5928. Let l = s + z. Calculate the common denominator of -37\/3 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -20*y. What is the units digit of -7 + 4 + 226 - y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k. Let o be t(4). Suppose o = -3*q - 8*q + 264. Suppose -28*b + 196 = -q*b. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**2 - 4*u - 10. Let q be (-2)\/(-2 - 20\/(-9)). Let g be h(q). Let n be -3*(g\/3 + 1). What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271135464 to the power of 1\/3, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4217351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -6. Let n = s - -1. Suppose -2 = 2*c - 0. Is n > c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2 in descending order.\nAnswer: 2, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - z**4)*(2*z - 5*z + 2*z) - 5*z + 5*z - z**5 + (z**5 + 4*z**5 - 3*z**5)*(1 - 3 + 0) - z**4 + 2*z**5 + z**4.\nAnswer: -2*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 190 + 173. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -242689303.0000455 - -242689249. Let u = m + 54. Round u to 6 decimal places.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*u = -21*u + 36 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17\/34*-46*1. Let r = 24 + m. Which is smaller: r or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or -223?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 495 - 366. Calculate the highest common factor of 1376 and t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -8\/53?\nAnswer: -8\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -184 + 187. Which is the closest to -5\/4? (a) -1\/8 (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 0*m**2 - 3*m + 0 + 3\/56*m**8 + 0*m**5 + 0*m**3 + 1\/6*m**4 + 0*m**6 + 0*m**7. What is the third derivative of w(t) wrt t?\nAnswer: 360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37389, -74827, -112265?\nAnswer: -149703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 196*-0.00223\nAnswer: -0.43708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*t**5 + 4124*t**3 + 33641*t?\nAnswer: -100*t**3 + 24744*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7*b - 9. Let h(f) = 3*f + 50. Give h(t(x)).\nAnswer: 21*x + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -989 + 990. Let p = -10 + 15. Sort z, p, -2 in increasing order.\nAnswer: -2, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + p - 2*p**2 + 4*p**2)*(30 - 30 + 10*p**2) - 43*p**4 - 30*p**4 + 4*p**4.\nAnswer: -89*p**4 + 10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**3\/5 + 87365*o**2 + o\/5 - 87365 = 0.\nAnswer: -1, 1, 436825","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1926987849*q**2 + 5*q**3 - q + q + 1926987849*q**2.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*p + 54167 = 54223 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -880 - -1232. Let b = k - 349. Let n(y) = -10*y + 3. Give n(b).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/7)*r*r)**(8\/9) assuming r is positive.\nAnswer: r**(160\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 + 7*b - 68*b + 16*b + 15*b + 11*b to u + g*b and give u.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15969 and 6286463.\nAnswer: 18859389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from fnnnnnnnnnnfn?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 210\/(-9) - (-4)\/(-6). Let d = -18 - p. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -5 - 2*r + 5*r - 4*r. Let o be 120\/(-16)*(-8)\/(-10). What is the units digit of u(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 199*l - 743. Is x(19) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 14*w**2 - 2*w + 8. Let d(h) = -3*h - 22. Let m be d(-9). Suppose 4*i - 2 = 2, -4*j = -m*i + 41. Is 62 a factor of u(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/125 in 5, 0.1, -3, -2\/93, -1?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1837 - 3005 = 1296*c + 2720 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Suppose -d - y*f = -2, 0 = -f + 6 - 5. Suppose d = 5*v - 0*v. Is 1 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1240 = -18*p - 578. Let y = 6 - p. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*j + 107*j - 5 = -z, 4*z - 38 = -14*j + 4*j for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 75 - 44. Let h = 12 + y. Calculate the remainder when h is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -213031420?\nAnswer: 213031411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 - -99. Calculate the lowest common multiple of 13 and (13 + v)\/1 + -5.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ea9995b - 0?\nAnswer: -ea9995b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 71345 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: Three letters picked without replacement from epgpqqk. Give prob of sequence pek.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/6655 and -64\/45?\nAnswer: 59895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 + 83. Let g = 0 - 5. Which is the biggest value? (a) g (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 3*c**2 - 3*c - 3. Let f be k(-3). Is f\/42 - 984\/(-21) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 3:16 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -747.85999 rounded to the nearest integer?\nAnswer: -748","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from keekkkk?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4355 + 12?\nAnswer: 4367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*5*(1 - -1). Suppose -b + 15 = 2*b. What is the common denominator of -1\/4 and ((-4)\/b)\/(l\/(-5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3\/5 - 382*b**2\/5 + 776*b\/5 - 78.\nAnswer: -2*(b - 1)**2*(2*b + 195)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6218?\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1107494 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 648 a factor of 135635472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-4))\/(48\/(-64))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12, -174, -444, -822?\n\"Answer: -54*k**2 + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.18*-966.\nAnswer: 173.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/6 + (-4)\/((-264)\/(-253))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from yyooy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 4*x - 5 - 9 = 0, 10 = -3*t + 4*x. Let m(p) be the first derivative of 553*p**2 + p + 193. Is m(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 2*d**4 - 1 + (0 + 1 - 3)*(9*d**4 + d**4 - 3*d**4) + (2*d**3 + 3 - 3)*(-76*d + 252*d - 48*d).\nAnswer: 240*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/2)\/(-3) - -8. Suppose -56 = -g*n + 74. Suppose -2*t - 2*t + 3*z + n = 0, -5*t - z = -42. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4644, -7103, -9562?\n\"Answer: -2459*r - 2185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 18 = -2. Let a be 1*4*1\/o. Suppose 0 = -2*p + 4*p - 4*m - 38, -62 = -3*p + m. Solve p = -4*u + a for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 27 = -3*t, -4*t - 9 = -5*t + 2*c. Let h(v) = -v**2 + 8*v + 11. Let i be h(t). Solve i*z + 2 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence moom when four letters picked without replacement from oomomm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23 and -13\/680.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 58278063110779822 + -58278064058995695.00000116. Let n = -948215845 - w. Let t = 28 - n. What is t rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 2*u + 6. Let t(v) = -10*v**2 - 7*v - 17. Give -7*l(o) - 2*t(o).\nAnswer: -o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -2507, 0, 4, 0.3, 0.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/3369 and -123\/10.\nAnswer: 33690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/(u*(u*u**(2\/7))\/u))*u)**21*(u**(2\/7))**5)\/(u*u**(2\/13)*u**(1\/4))**(17\/3) assuming u is positive.\nAnswer: u**(22357\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 + 11*a**2 + 11*a - 76. Let m be i(5). Solve -m*o = -5*o + 6 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1243 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -387.151 and -0.0651755.\nAnswer: -387.2161755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -182, -379, -554, -701, -814?\n\"Answer: m**3 + 5*m**2 - 219*m + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 360.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -168.345, -0.2, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in 175\/12, 2, -7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffidd. What is prob of sequence fi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 22*v. Let n(g) = 22*g + 1. What is 3*b(k) - 2*n(k)?\nAnswer: 22*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 27, -2\/3, -2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 343? (a) -178 (b) -3\/8 (c) -19 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 134902362 to the nearest integer?\nAnswer: 513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 650 is divided by 132.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l + 0*l + 6*l - 6. Suppose -2*u = -4*s - 26, 5*u - 4*s - 35 = -9*s. Let a be k(u). Solve 20 = 2*v + a*n + 4, -4*v + 4*n - 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10*6*176\/(-132)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**2 - 7*v - 1. Let w be k(3). Calculate the lowest common multiple of 6 and (w\/10)\/(2\/(-10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 1. Let v(z) = 5159*z**2 - 240. Let x(p) = 2*c(p) - v(p). Let h(m) = 86*m**2 - 4. Let b(r) = 242*h(r) + 4*x(r). Let w(t) = t**2. What is b(w(s))?\nAnswer: 176*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggggggg. What is prob of sequence gggg?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - t**2 - 4*t + 1. Let c(g) = 2792*g**3 - 3*g**2 - 15*g + 3. Give -c(a) + 3*w(a).\nAnswer: -2795*a**3 + 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -122?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.33 and -1562689211258.\nAnswer: -1562689211259.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -38\/7 (b) 5 (c) -0.5 (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3124, -2\/7, 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((2 - -154) + 17)\/(2\/386) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 147, 138, 113, 66, -9, -118?\nAnswer: -267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 12:03 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 190 + -15 + -193 + -1 + 76\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -32, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 28\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2 = 5*t, 5*s + t + 10 = -t. Let u = s + 3. Is 7 a factor of (u + 0)*(-1 + 8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**2 - 13*i - 27. Let f be r(15). What is the third derivative of -377*h + 46*h**f - 373*h + 33*h**2 + 750*h wrt h?\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) - 40\/75. What is the second smallest value in 0.5, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1533, -3042, -4551, -6060?\nAnswer: -7569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 11880.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1480?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 + q + 12. Let j be i(6). Let o = -3 - j. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/31033?\nAnswer: 3\/31033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l + 3. Let o be x(-8). Let f be 288\/30 + (-2)\/o. What is the highest common divisor of 90 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcwlnctnfnlww. Give prob of sequence lft.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, 0.4, 238, 3\/7 in ascending order.\nAnswer: -1, 0.4, 3\/7, 6, 238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(4\/(-24)))\/(4 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 60.26. Let d = -2.64 - c. What is the closest to 0 in -0.3, d, 4\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -11 - 12 + 64*b**2 + 1058*b + 23 - 62*b**2. Let z(u) = -2*u**2. Give i(z(j)).\nAnswer: 8*j**4 - 2116*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -333.74 to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10001 (base 5) to base 10\nAnswer: -626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) 0 (c) 3 (d) -1 (e) 118 (f) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 s, and 2 n when four letters picked without replacement from {q: 4, b: 4, n: 1, s: 10}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - j**2 + 2*j**2)*(-178 + 82 + 38 + j) + 0*j**2 + j**3 + 0*j**2.\nAnswer: -j**3 + 116*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/(-132) - 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1341302, 2682603, 4023906, 5365211, 6706518?\n\"Answer: g**2 + 1341298*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 5*c + 318, 0*x - x = -3*c - 83. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 10*p + 5*p)*(-7 - 3 + 3)*(-5 - 1 + 5) as g*p + c and give g.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-100)\/(-7) - (-6)\/(-21). Suppose 403 - 97 = 2*u. Let y = u - 118. What is the highest common factor of y and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-5)*n\/((n*n**(-1\/6)\/n*n)\/n*n)*n*n**(4\/7)\/n**(1\/6) assuming n is positive.\nAnswer: n**(-24\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 76*i - 54. Let s(f) = -15*f + 11. Determine 16*s(q) + 3*z(q).\nAnswer: -12*q + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -3 - 4*a - 3\/2*a**2 + 1\/3*a**3. Is r(6) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26497131 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*w, 4*w + w = -4*h. Suppose -3*g = w, -j - g - 4*g = -386. Is j a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 3)*(-1 - 1). Suppose 28 + 32 = -l*t. Let i be t\/36 + (-3)\/(-4). Put i, -5\/6, 0.1 in ascending order.\nAnswer: -5\/6, i, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = f - 9, 4*y - 10 = 5*f - 7*f. Let u be (-16 + 0)\/y*(-10)\/8. Let g(q) = -q**3 + 4*q**2 + 4*q + 1. Give g(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 1 - 10 = 0. Suppose 1644001 = -4*l - p, 4*p = p - u. Round l to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 53.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.153501ml in litres?\nAnswer: 0.007153501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -12907.\nAnswer: 12907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -1639*b**4 - 3*b**3 + 3*b**2 - 27*b + 465. Let i(y) = y**3 + 9*y - 2. Let f(t) = 3*i(t) + s(t). What is the third derivative of f(j) wrt j?\nAnswer: -39336*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 17*d**2 - 2*d - 14. Let z(g) = -6*g + 22 - g + 3. Let a be z(6). Let l be k(a). Solve -2*y - 3*y - l = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*u = -30, -3*u + 10 = -c - u. Which is smaller: c or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37060 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69481792?\nAnswer: 2, 47, 23099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 145*m + 1 + 10 - 4 - 146*m. What is n(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 5*q + 56. Let t be u(6). Let p(s) = 1 - s**2 - 16*s - 7 - 4. Let h be p(t). Calculate the highest common factor of 20 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + -313?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 60 and -731575252.4993?\nAnswer: 731575312.4993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqnqsqqnsxqg. What is prob of picking 1 q, 1 n, and 1 s?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282.0211 - -282. What is j rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.715 - -0.145. Round o to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 65097.17.\nAnswer: 585874.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**2 + 22*k + 40 = 0.\nAnswer: -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/224 and 99\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 37 - 63. What is the remainder when (-2 - -31)\/1*3 is divided by (-455)\/c + 6\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/24 of a day?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**3*v**2 + 57*q**3 - 2*q**2*v**2 - q*v**2 - 26*q*v wrt q?\nAnswer: -12*q*v**2 + 342*q - 4*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 divided by -59249?\nAnswer: -644\/59249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 871 + -795. Suppose -61 = -3*h - 49. Calculate the lowest common multiple of k and h.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 - 63. What is the highest common factor of w and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/4*-1)\/((-900)\/(-30))?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 12. Which is the closest to -14? (a) 5 (b) 2\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111631 is divided by 1329?\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m - 6*m + 3*m)*(-4 + 0 + 3)*(-3 + 1 + 4).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 985960975.\nAnswer: 5, 43, 917173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 60375.23mm?\nAnswer: 6037.523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -41.\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a century in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 789 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -449*a**3 + 16*a**2 - 4*a - 1 wrt a.\nAnswer: -2694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-2\/11))\/n)**22 assuming n is positive.\nAnswer: n**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 181283*m**3*t - 3*m**3 + 3*m**2*t + m**2 - 1621 with respect to t.\nAnswer: 181283*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-30)\/(-3)*(-2)\/(-4). Suppose 0 = 2*j - s*m - 459, 5*j - 2*m + 858 = 9*j. What are the prime factors of j?\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19382107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 174989 = 2*h + 2*t, 4*h - 349969 = 3*t. Suppose n - h = 22507. Round n to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 15*x**2 - 18*x - 18. Let p be a(-16). Factor -2*y**4 + 14 - p - 2*y**3 - 6*y + 10*y**2.\nAnswer: -2*y*(y - 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c. Let x(g) = 172*g - 6. Give d(x(u)).\nAnswer: -344*u + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130314543 + -4?\nAnswer: 130314535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18533*y + 18338*y - 36633*y + 14994 for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 344335412 and 1.\nAnswer: 344335413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m**2 - 9*m - 13. Let r = -2 - -6. Let a(d) = -6 - 3*d + d - 2*d + 2*d**2. Let y(l) = r*t(l) - 9*a(l). Find the first derivative of y(z) wrt z.\nAnswer: 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 12:31 PM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 160709045 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 10*q + 58. Let a be r(4). Let w(o) = 25*o**2 - 2*o + 4*o - 26*o**a + 7. Calculate w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*b**2 - 25*b**2 - 714 + 716 + 21*b**2 - 20*b**2.\nAnswer: -31*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 46*o + 52*o + 0 + 29*o to the form v*o + t and give v.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/9))**(-3\/2))**(2\/11)\/(((k*k\/(k\/k**2))\/k)**(10\/3))**(-1\/10) assuming k is positive.\nAnswer: k**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*h + 29549 - 29752 = 0 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -199, -119 in increasing order.\nAnswer: -199, -119, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2843*m + 2003. What are the prime factors of f(-6)?\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3452, 3453, 3454?\n\"Answer: k + 3451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -69a (base 15) to base 12\nAnswer: -a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3776739 is divided by 1258912.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*q + 6, 2*g - 5 - 5 = -4*q. Let d(u) = -u**2 + 8*u - 8. Let i be d(6). Find the second derivative of -g*n - i*n**3 - 4*n - 2*n + 2*n wrt n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 717645?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -2. Let f be (2\/30)\/((-42)\/(-280)). What is the third biggest value in h, -3\/8, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -1\/43 (c) -0.002 (d) -0.2 (e) 2\/31 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66, 269, 608, 1083, 1694, 2441?\n\"Answer: 68*c**2 - c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10518.894252 and 360.\nAnswer: -10158.894252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -204 divided by 3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -22*h**3 - 7*h**2 + 2*h + 90. Let g(z) = -4*z**3 - z**2 - z + 3. Let r(u) = 2*g(u) + x(u). Find the third derivative of r(f) wrt f.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 9*g**2 - 9*g - 6. Determine a(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -11, -49, -73, -65, -7?\n\"Answer: 3*s**3 - 11*s**2 - 26*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40.8 + 41. Which is the closest to q? (a) 0.01 (b) 0 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-30)\/255 + 2\/17 - -10903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 944.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.4, -0.19, 2\/7, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*r - 16. Suppose -4*c + 0 = -r. Is c - (-51 - (-1 + 1)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**16)**(-40)*w**(-14)*w*w**(1\/20)*w*w assuming w is positive.\nAnswer: w**(-13019\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -275, -541, -807, -1073, -1339, -1605?\n\"Answer: -266*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3135312185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l + 49 + 293 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*k = 70. Solve -4*d + k = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mso when three letters picked without replacement from oqesmstqqooq.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6803 + -4690. Is 98 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 2*p - 577 - 1111 = 0, 1694 = -5*b - 4*p. Which is greater: -341 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 minutes before 7:19 AM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -31*x = 175 - 547 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + u. Let r(j) = 5*j**2 + 7*j - 11*j**2 + 2*j**2 + 5*j - j**2. Determine -3*b(x) + r(x).\nAnswer: -2*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -11*j**4\/12 + 9*j - 6. Let q(u) be the first derivative of v(u). Let y(z) = -2*z**2. Give q(y(c)).\nAnswer: -44*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u - 1589 - u + 547 + 528 + 544.\nAnswer: -5*u + 30","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56987557?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m - 2*m + 5*m - 2 + 2 - m + (-4*m + 5*m + m)*(1 + 0 + 1) + 21*m - 29*m + 2 + 0 as h + n*m and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -17. Let l = 12.84 + -13. Let u = 3.84 - l. Which is the nearest to 1\/3? (a) u (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 9*q**2 + 2*q - 10. Let m be o(9). Suppose m = -2*j + 3*j. Solve 28 = 5*t + j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/4)\/(-4 + 0 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 1\/3, 18\/145, 0, 3\/7, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106837 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 31*s = 34*s - 837, 2*f = s + 857. What is the lowest common multiple of f and 33?\nAnswer: 4686","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m - 4. Let o(g) = -29*g - 7. Calculate -5*k(s) + 3*o(s).\nAnswer: -17*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*102\/(-8))\/((-36)\/(-192)). Let r = 70 - x. Suppose 3*z - 396 = -2*c, -r*z = 2*z - 8. Calculate the greatest common factor of 39 and c.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 48 - -1?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47298 = -25*x + 11077. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.1 + -0.3. Let t = 0.6 - y. Let f = t - -0.3. What is the closest to -0.1 in f, -1, 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-6) - 8\/(-6). Suppose i*f = f - 1. Let z(o) = 5*o**2 + o + 1. Let q be z(f). Solve -3*p + q*n = -2, -4*p - 2*n = -6*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b. Let r(c) = -25*c**2 - 10*c**2 + 60*c**2 - 17*c**2 + 6*c - 14*c**2. Determine 6*f(d) + r(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 617\/3 + -206. Let x = -0.2 - -0.2. Which is the nearest to 0? (a) v (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/4)\/(((-4563)\/572)\/117)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -583.766 - -583. What is w rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2529269.1 to the nearest ten thousand.\nAnswer: -2530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -d - 0*d - 10, 0 = 2*o - 2*d - 4. Suppose 0*w - o*w = -3*w. Suppose w*f = -5*f + 35. What is the remainder when 18 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6016 = 1755020*w - 1755084*w for w.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, 62, -8, -1, -5?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 20*i**4 - 16*i**3 + 10*i. Let d(m) = -4*m**4 + 3*m**3 - 2*m. Let v(z) = 16*d(z) + 3*p(z). Find the second derivative of v(y) wrt y.\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 15 - 5*l - 4 + 3 - 15.\nAnswer: -5*l - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 190, 441, 800, 1273?\nAnswer: 1866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-9 + 5076\/(-630)))\/((-15)\/(-7) - 2).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 5*h - 2. Determine p(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 - -167. Let z be l\/7 + 11 + -5. Solve 0 = 4*v - 6*v + z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/18)\/(76\/(-57))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 2*h - 3 = 4*h, -4*i + 4*h = -24. Suppose -3*v - i = 2*c + 1, 0 = -5*c + 5*v. What is the common denominator of (c\/40)\/((-1)\/(-33)) and -47\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from svvvsuuovusshuouuso. Give prob of sequence oo.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -587961, -1175847, -1763721, -2351577, -2939409?\n\"Answer: u**3 - 587893*u - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.076 in 0.4, 6, 8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243 - 143 - 127 + 3*c)*(1 - 3 - 1).\nAnswer: -9*c + 81","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 3:06 AM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 11*l + 11. What is the tens digit of t(23)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -21. Put h, 2, 7 in increasing order.\nAnswer: 2, h, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11180401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -5 - 39*l**2 + 0 - 30*l**2 - 2*l + 68*l**2 - 5*l. Let h(a) = a**2 + 7*a - 3. Let r be h(-6). Give o(r).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 200?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*((r**(-8)*r)\/r*r)\/r)\/r**2)**18 assuming r is positive.\nAnswer: r**(-162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 14291742 to the power of 1\/2, to the nearest integer?\nAnswer: 3780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1537 and 1073?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225.\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1.05418?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-2 + (-1 + sqrt(931))*2)**2 - ((sqrt(2299) - (sqrt(2299) - (sqrt(2299) - 5*-1*sqrt(2299)))) + -4)**2).\nAnswer: -79039 + 416*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 2*d**4\/15 + 28*d**3\/3 + 2914*d**2\/15 + 15376*d\/15 = 0?\nAnswer: -31, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9576 or -9571?\nAnswer: -9576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 255\/4 + -64. Let n be 20\/150 - 16\/(-105). Sort a, -3, n.\nAnswer: -3, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -144*k + 1828 - 100 + 3*k**2 + 0*k**2 = 0.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 2 + 7. Let t(s) = 12*s + 5. Suppose 316 = 6*r - 2*r. Calculate the remainder when r is divided by t(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Suppose l = 5*c - 4*c + 9. Let b(t) = -t**3 - 9*t**2 - t + 6. Is b(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5818344316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 1000010111111110?\nAnswer: -1000011000000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 145604 to the power of 1\/2, to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 3*t)*(22*t - 1117 + 1117)*(-5 - 3*t + 6*t - 4*t)*(-2 + 6 + 0).\nAnswer: -88*t**3 - 440*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10741, 43169, 97215, 172879, 270161, 389061?\n\"Answer: 10809*d**2 + d - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00357421 to 5 decimal places.\nAnswer: -0.00357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*z + 30. Let c be (2\/3)\/(z\/99). Let x = c + 12. Solve 19 = -4*s - x for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77901 take away -67?\nAnswer: 77968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + sqrt(45)*3*2)\/(sqrt(9) + (sqrt(729)*-2 - sqrt(729))) + -4.\nAnswer: -4 - 7*sqrt(5)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 351213071?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 73, 3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104 by 4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1833502 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/138 - -5633\/690. Let p = -441\/55 + t. What is the second smallest value in 2\/13, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1292046 by 6.\nAnswer: -215341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-14 - -12 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**3 + 9848 + 3*j**4 - 9825 + 7*j - 5*j - j**2 in the form c*j + n*j**2 + t*j**3 + w*j**4 + f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -820, -837, -876, -949, -1068, -1245, -1492?\nAnswer: -1821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-20) + 1290\/(-150)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-60)\/216)\/((-1)\/6). Let i(q) be the second derivative of 1\/6*q**4 + 20*q + 0 - s*q**3 + 6*q**2. Factor i(x).\nAnswer: 2*(x - 3)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/29 (c) 0.032 (d) 0.0472\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g + 57. Let f be v(-4). Suppose m - 2*m = 5*k - 96, 0 = k + m - 20. Solve 3*i - 21 = -3*w, -f*w + k = -5*i + 2*i for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l**(2\/17)\/l)))**(-24))**11 assuming l is positive.\nAnswer: l**(3960\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {v: 2, j: 1, f: 11}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**5\/60 - r**2. Let c(f) = 770*f - 9*f**2 - f**2 - 770*f. Give c(z(n)).\nAnswer: -10*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4651464?\nAnswer: 2, 3, 193811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 5668 - 1084. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z + 2*i - 1429 = 4*z - 157*i, 28*z + 3*i - 30 = 31*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = c + 40. 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: 32\/6*(-93)\/434\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32706 a multiple of 474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 - 6. Let g = -12 - -10. Let n(j) = j**2 - 3*j - 1. Let v(f) = g*w(f) - 4*n(f). Factor v(d).\nAnswer: 2*(d + 2)*(d + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*f**5 + 6*f**4 - 204*f**3 + 15*f**2 - 101*f - 4 wrt f?\nAnswer: -2340*f**2 + 144*f - 1224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -679 + 679. Let a(k) be the second derivative of 1\/3*k**3 + j*k**2 + 0 - 4*k. Let g(s) = 5*s. What is a(g(v))?\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156)*2 + sqrt(156))*5*-3)\/(sqrt(24)\/(sqrt(12)\/sqrt(6))*5).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 1\/31800, 1, 0.3, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30430, 4\/3, -0.4, 52, 0 in descending order.\nAnswer: 52, 4\/3, 0, -0.4, -30430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12*(-16)\/16 - -7. Let d(c) = 14*c + 56. Determine d(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50407 + -26822. What is w rounded to the nearest one hundred?\nAnswer: 23600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1959667 and 18037?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/364)\/(((-560)\/(-35))\/(-64)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 21. Let q(b) = -r + 0 - b**2 + 7*b - 4. Give q(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 divided by -65?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1486, 2972, 4454, 5932, 7406?\nAnswer: 8876","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 129 - 125. Solve -2 = 2*v + s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(3*sqrt(252))\/sqrt(7))\/(sqrt(192)*-2 - sqrt(192) - (sqrt(36)*-2)\/sqrt(3)).\nAnswer: 9*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -25 + 29*p**2 - 19 - 26 + 64 + 81*p**2 in the form o + n*p + f*p**2 and give f.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(6\/5)\/d**(-1\/8))\/(d\/d**3*d**(-1\/23)) assuming d is positive.\nAnswer: d**(3099\/920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2940*d - 2485 + 1051*d + 2485.\nAnswer: -1889*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 769 and 1.043535.\nAnswer: 770.043535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 + -7. Suppose y*u - 7*u = 4. Let w(c) = -86*c**3 - c**2. Is w(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 19*x + 17. Determine a(-6).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-110)\/(-77)) - (-156)\/(-21)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -q. Suppose q*r - 36 = -4*r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -1474*t - 76647. What is w(-52)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-1.94.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - t - 2)*(-3 + 9 + 2) + 2 - t - 2)*(3*t + t - t).\nAnswer: -27*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 974410731*o**2 - 818857262*o.\nAnswer: 1948821462","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -195e13 + -a?\nAnswer: -195e1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1103 - -1103. Solve -18*p + 19*p = k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 6993*k - 5 - 3131*k - 6*k**2 - 1 - 3352*k.\nAnswer: -6*k**2 + 510*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (177\/2655)\/((-1)\/((-18)\/(-3))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + -2) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hmi when three letters picked without replacement from {i: 1, m: 3, h: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 993.5 - 990.5. Which is the closest to 2? (a) u (b) -7\/3 (c) -2\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.07, 1\/6, 0.03, 1\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 9 = 0, o = 4*j + 4*o - 2323. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14625*l = -14551*l + 2238 + 204 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 8:14 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**4\/3 - v**2\/2 - 2*v. What is m(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4545*k**2 + 7*k + 2307*k**2 - 12*k + 5*k + 2282*k**2.\nAnswer: 44*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -267 + 274. Calculate the least common multiple of 2 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**28\/(u*u**1)**(1\/2)*(u**(-7)\/(u\/(u\/(u*u*(u\/(u*(u\/(u\/u**3)*u)\/u))\/u))))\/((u**(-1\/4)\/u)\/u**(3\/7)) assuming u is positive.\nAnswer: u**(-121\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 + -62. Suppose t - 3*w + 12215 = f, -2*w + 4840 = t + 17030. What is t rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3319423 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + (sqrt(77) - (sqrt(77) + sqrt(77) + (-1*(2*sqrt(77) + sqrt(77) + sqrt(77)) - sqrt(77))))\/sqrt(7) + 2)**2.\nAnswer: -16*sqrt(11) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 1308675757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1220 by 744.\nAnswer: 305\/186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/354 and 38\/6077.\nAnswer: 36462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6097)\/(-364))\/((-6)\/42*7*(-1)\/4).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93224, 187108, 280992, 374876?\nAnswer: 468760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s + 5. Let q(h) = 4*h + 4. Let x(v) = 4*p(v) - 5*q(v). Let c be (-24)\/(-36) + 356\/6. Let z(i) = -c - 2*i + 60. Calculate z(x(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g + 2*g + 2*t, 0 = -5*g + 2*t + 25. Let x(o) = 2*o - 2 + o + o - 3*o. Determine x(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 12*l - 6. Let a be o(-9). Suppose -126 - 99 = -45*f. Suppose a = -f*r + 23. Sort -3\/8, r, -0.8 in decreasing order.\nAnswer: -3\/8, -0.8, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*m + 3*h, 0*m + m - 14 = -2*h. Solve 2*l = -g + 9, -4*g = -0*g - m*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 110100111?\nAnswer: 110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 86, -1?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (0 - (3 - 5)). Suppose w = -2*j + 405 + 41. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1258134 a multiple of 277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.5, 1, -1 in decreasing order.\nAnswer: 1, -0.5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 150 * -4.258.\nAnswer: -638.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76116*h**3 + 18062*h**3 + 1 - 13*h + 13*h.\nAnswer: 94178*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -585 - -617. Calculate the smallest common multiple of 4 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 186*q**2 - 2*q - 1. Suppose 2 = 2*d - 6. Let i = 3 - d. Is m(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -34, 1 in increasing order.\nAnswer: -34, -17, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from {x: 2, w: 7, j: 3, h: 3, v: 2, z: 1}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/8 - 727*u**2\/8 + 16471*u + 16562.\nAnswer: (u - 364)**2*(u + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 542175272 divided by -523?\nAnswer: -1036664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 18 = 10. Suppose 0 = 3*y, -2*o + y = 5*y - c. Suppose 5*l = t - 199, o*t = -0*l - 3*l + 398. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41338 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 141982*z**3 + 0*z - 70992*z**3 - 70991*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-6)\/(-21))*1. Let p(s) = s**2 - 9*s - 2. Let c be p(9). Is (-3118)\/(-14) + c\/m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4536175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k + 54. Determine s(-18).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a + 9. Let w be j(-6). Let p = w - -14. Sort -1, -4, p.\nAnswer: -4, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 9:07 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzhhzrrz. Give prob of picking 2 h and 2 z.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 7349000 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 894674070 to the power of 1\/5, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1460.79 - -1452. Let n = -1.59 - l. What is n rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 236 + -272. Is ((-4)\/(-12))\/(12\/(-153))*t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 13135185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(8\/(-36))\/(12\/(-27))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8515 * -0.2\nAnswer: 1703","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3219 + -8b?\nAnswer: 317d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*h - h + 561, -5*a + 267 = 2*h. What is the remainder when h is divided by (-2180)\/(-90) + 4\/(-18)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 130.6506 - -0.1494. Let w = f - 143. Let d = 12.19923 + w. Round d to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/35))**(-1)\/(d\/(((d*d**(-5\/3)*d)\/d)\/d)*d*(d\/d**(-7)*d*d*d)\/d*d) assuming d is positive.\nAnswer: d**(-1534\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexuueuexeuee. Give prob of picking 1 x, 1 e, and 1 u.\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 54535217?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = 460. Suppose -7*u = -559 - b. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 4*y = -3*p - 36, -3*y = p - 19. Suppose 0 = -2*h + p*b + 13 + 3, 5*h + b = 29. Suppose -c = 2*c - h. Solve 0 = c*v + 2 - 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(12)\/(sqrt(40)\/(sqrt(160) + sqrt(10))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 4 = 10*b. Let q be ((1 - -32)\/b)\/((-489)\/(-163)). Solve -19 = q*d + 25 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4648 and 13678?\nAnswer: 4541096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and 2324.4831724.\nAnswer: 2324.3931724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 15. Let y be d(-13). Let s be 2\/y - (-10 - -1). Let t(n) be the first derivative of -n**2\/2 + 11*n + 63. Give t(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {v: 3, m: 2, i: 5, y: 1, r: 2, q: 7}?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 47*q**2 + 35*q**2 + 12*q**2.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 58*h - 950. Let y(f) = 7*f - 114. Let i(v) = -6*o(v) + 50*y(v). Let j(n) = 28*n**2 - 25. Give j(i(z)).\nAnswer: 112*z**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + 5. Let i(p) = 10 + 15*p - 78*p - 25*p - q*p. Is i(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d - d**2 - 9*d - 205 + 13 to the form v*d**2 + p*d + o and give o.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 12*x**2 + 44*x - 36. Let g be p(-24). Let t = g - 83. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -35. Let u(f) = -f**3 + 15*f - 8. Let b(k) = 12*k**3 - 164*k + 88. Let n(p) = z*b(p) + 32*u(p). Determine r, given that n(r) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s\/s**(-20))*s\/(s\/s**(23\/5)) assuming s is positive.\nAnswer: s**(-77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 505?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3383514, 6767026, 10150538, 13534050, 16917562?\n\"Answer: 3383512*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-18) - 10\/3. Let c be (-15 + 12)*2\/(-2). Let z be c*(-15)\/(-27)*s. Is z smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**(-4)\/m)*m)**(-12)*(m\/m**(-6))\/(m*m\/m**(-2\/27)))**(-29) assuming m is positive.\nAnswer: m**(71311\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 70316611 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-704 - 113 + 821 - 87*x)*(0 + 1 + 1) to the form s*x + m and give m.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 16. Which is the third biggest value? (a) 5 (b) f (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-11*15*6\/(-60)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/36)\/((-2)\/(-15)). Find the common denominator of -109\/6 and (j\/(-20))\/(132\/1424) + 4.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*s - 1183 - 283 = -67*s - 174 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8709?\nAnswer: 3, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 bigger than 2083\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(140\/(-8)) + 220\/231. Which is the third biggest value? (a) 0.4 (b) l (c) 78 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*r + 7260, -19*h = 5*r + h - 18080. Calculate the remainder when r is divided by 30.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 w, and 1 c when four letters picked without replacement from pdpssdddsndpwcd.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammnn. Give prob of sequence nn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 614588 + -4.9?\nAnswer: 614583.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 1.3. Let h = -508 - -507.6. Let c = -28 + 25. What is the smallest value in h, c, m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.8 - -29. Let o = -0.96 - k. Let u = o - -1.06. What is u rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2383462?\nAnswer: 2, 1191731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 45768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(1053) + (sqrt(13) + 4 + -2)*5)**2.\nAnswer: -1340*sqrt(13) + 58457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10 - -11)*622\/(-2). Let p = -43 - y. Suppose 0 = 5*u - p + 38. Calculate the remainder when 136 is divided by u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 594023 - 844018. Let d = -249995.729942 - g. Let s = 0.73 + d. Round s to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + (7 - 1) - 2. What is the second smallest value in k, 0.06, -3\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 2:30 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/(-11))\/(-5*4\/(-60)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1323 + -1321. Solve 0 = -y*h + 4*z, z = -0*h - h - 6 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 384149 and 3009.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*b**3 + b + b**3 - 6*b**3 + 0*b**3 - 220 + 38 - 2*b**2 to s*b**3 + m + f*b**2 + p*b and give m.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207 = -11*d + 8*d. Suppose 4*t - 49 = -2*x - x, -68 = -4*x - 4*t. Calculate the remainder when d is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1117 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: Do -8429 and -8431 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*7.2\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 61*z**2 + 119*z**2 - 57*z**2 - 14 + 7.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4.4 (b) 8 (c) 0.5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 3:42 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**4\/4 - 1535*v**3\/4 - 147072*v**2 - 16629760*v + 16777216 = 0?\nAnswer: -1024, -256, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, -4, 2\/3, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-31)*759\/(-1518)\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 600*a - 6279. Determine j(9).\nAnswer: -879","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -36.2, -0.2, 0, -1\/164?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19210.37 seconds in nanoseconds?\nAnswer: 19210370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14980093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**3\/11 - 24737*d**2\/11 + 61300631*d\/11 - 1857345 = 0.\nAnswer: -10241, 1\/3, 1995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-24)\/5*30\/(-9). Let h(a) = a**2 - 14*a + 35. Let n(c) = 2*c**2 - 7. Let r be n(-3). Let o be h(r). Put j, o, -2 in descending order.\nAnswer: j, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-33 + 8 - 3*b + b)*(-50*b - 2 + 25*b**2 - 65*b**2 + 41*b**2) in the form v*b**3 + m*b**2 + n + h*b and give h.\nAnswer: 1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -7 (b) -0.5 (c) 0.2 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 - 0.1. Let q = 4\/65 + 187\/130. What is the second smallest value in 1\/7, o, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 10*r**2 - r + 6. Let v be m(-10). Suppose -v*p + 22*p = 72. Let x(d) = -d**3 + 17*d**2 + 13*d - 13. Is x(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 936 by -5.\nAnswer: -936\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 7, n: 4, w: 2}. Give prob of picking 2 w and 1 n.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence maa when three letters picked without replacement from oaxokmmja?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -4\/43, -4, 1\/2, 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**3 + g**3 + 10*g**3 + (-3*g**3 + 0*g**3 + g**3)*(-1 + 4 + 3).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -7*t + 3. Let u(c) = c**3 + 6*c**2 - 6*c + 9. Let q be u(-7). What is f(q)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1062)\/150)\/(5*(-117)\/(-650)))\/((-4)\/6)?\nAnswer: 59\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-39)\/(-12) - -1) + (-1)\/4. Suppose -z*m + 6*m = -72. List the prime factors of m\/(-54)*(-318)\/(-4).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.240382 to 1 dp.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14479 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/9319?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (-357)\/27 - (-2)\/(-9). Solve -9*r = -14*r + l for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a801 (base 12) to base 6\nAnswer: -221201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0894824l in millilitres?\nAnswer: 89.4824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13 + -8.13. Which is the biggest value? (a) 2\/3 (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, w: 12}. Give prob of picking 3 j.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21225, 168299, 567083, 1343433, 2623205, 4532255?\nAnswer: 7196439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2313 - 293 = 204*w - 5006 - 7800 for w.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 12. Suppose a = -4*q + 30. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, b: 1, i: 2, x: 1}. What is prob of sequence oib?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 11:37 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 281073 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34242 to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*y - 60*y - 8 = -4*g, -3*g + 8 = -y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/5 of a microsecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8374, 8376, 8380, 8386?\nAnswer: 8394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 6:55 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -13*c**2 - 349*c + 39. Let n be v(-25). Solve 139*w = -n - 195 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 11*y - 17. Let o = -40 - -37. Let d(h) = 4*h - 6. Let a(t) = o*i(t) + 8*d(t). Let z be a(-13). Calculate the highest common divisor of 24 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103 - 103 - 4*i**2 - 9*i**2.\nAnswer: -13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 5*p + 3. Let v be c(-1). Is v less than 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*x + 4*x. Suppose x*n - 45 = 13. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d - 1 - 9*d + 7*d. Let q be w(-3). Let u(g) = -2. Let n(a) = -a + 1. Let k(i) = -3*n(i) - 4*u(i). What is k(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(91)*-1 - sqrt(91)) - (-5*sqrt(91)*-2 - sqrt(91)))\/(5*1*sqrt(14)\/sqrt(2)))**2.\nAnswer: 637\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1144528 and 20.\nAnswer: 5722640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1276 + 1353. Let a be 0 + 0 - 5*5. What is the tens digit of u + 0 - (21 + a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 9*(-2)\/(2\/3). Let b = 51 + z. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19 - (-4 - 3\/(3\/(-5))). Calculate the greatest common factor of 5 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7037 - 7039. Which is the third biggest value? (a) -4\/5 (b) 0.08 (c) y (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 5 + 7. Let z = w + 4. Let f(c) = 19*c**2 + 1. Does 20 divide f(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9512137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/196480224 and -109\/171920196?\nAnswer: 1375361568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 1481 + 1578. Calculate the greatest common factor of 19 and u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000889215 to six decimal places.\nAnswer: -0.000889","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1518057767 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.241 (b) -3\/4 (c) 4 (d) 17\/6 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/1*(6\/(-8))\/((-46)\/(-184))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 13*j - 89. Let c be k(8). Calculate the greatest common factor of 55 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1405 is divided by 989.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of 2*i**3\/3 + 372. Let t be (-6)\/(-2) + -1 + 0. Let f(x) = -4*x**2 + 3*x**2 - 2*x**t. Give f(m(y)).\nAnswer: -12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l + 7. Let r be u(3). Let t be 8\/r - (1 + 0). Let i be (-39)\/(-26)*(t + 3). Calculate the greatest common divisor of 30 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 15*v**2 - 72532*v + 4*v**2 + 14 + 72535*v - 10*v**2 - 2*v**3. Determine m(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 34*m - 34*m - 5)*(-11*m**3 + 78*m**3 + 24*m**3).\nAnswer: 182*m**5 - 455*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 32*r = -33*r + 7, -4*z = 4*r - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 520 + -0.242005\nAnswer: 519.757995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 517 divide 275252868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - p + 2)*(2*p - p - 2*p - p - 3 + 3 + 2*p - p - 3*p + (0 - 2*p + 0)*(1 + 0 + 1) - p - 3 + 3 - 3*p + 6*p - 2*p - p + 0*p - p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 33*l**4\/2 - 100*l**3 + 309*l**2\/2 - 9*l = 0.\nAnswer: 0, 2\/33, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 869 = -50. Let c be (t\/26)\/((-2)\/8). Let q = c - 10. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168936 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o + 149. Let m(t) = -t + 2. Let g be m(0). Suppose -3*x = -g*x. Is d(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q**3 - 6*q**2 + 17*q - 13. Let u(v) = -4*v**3 - 3*v**2 + 7*v - 6. Let o(c) = 3*l(c) - 7*u(c). Determine o(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69840.87 months in decades?\nAnswer: 582.00725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p = -39*p + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000001 (base 3) to base 8.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 76894 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610032?\nAnswer: 2, 3, 71, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -56 - -63. Suppose b*k + 414 = 1758. Suppose 4*h - 3*z - 40 - 23 = 0, -2*h + 3*z = -39. What is the highest common factor of k and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 4*u - 43 = 104, 5*u = 5*z + 210. Let i be 0*(z\/10)\/(-9). Solve -2*p + 3*p = 0, i = -2*v + 2*p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**2\/9 + 94*w\/3 - 4000\/9 = 0 for w.\nAnswer: 16, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 75 - 43. Suppose -4 + 22 = y + 5*i, -q = -5*y + 4*i. Suppose -4*l + y = -36. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 2*a**2 - a + 1. Let v(p) = -703*p**3 - 8*p**2 + 4*p - 4. Give 4*j(u) + v(u).\nAnswer: -707*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23840188 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122864277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**4\/78 - 22*u**3\/39 - 48*u**2\/13 + 963*u. Suppose d(f) = 0. Calculate f.\nAnswer: -2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 < 100\/989?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28)\/5 + 4)\/(6\/(-345)).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 200637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**5 + 0*z**5 + z**5)*(961 - 3511 + 564 + 1203) + z**5 + 0*z**5 + z**5.\nAnswer: -781*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100721 is divided by 8354.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 464 - 247. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142\/15*x + 368\/15*x**2 - 224\/15*x**3 + 16\/15 = 0. What is x?\nAnswer: 1\/4, 8\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 3*j + 38 = 0, -t - 34 = 38729*j - 38726*j for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4751 (base 8) in base 9?\nAnswer: -3428","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 - 5*q - 1. Let x(r) = r**3 + 2*r. What is -6*f(m) - 15*x(m)?\nAnswer: -3*m**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15932 is divided by 1036.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 9. Let a be (2\/(-1))\/(2\/f). Let v(u) = -u**3 - 2*u**2 + 3*u - 3. Determine v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25805495 plus 352?\nAnswer: 352.25805495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6573653.\nAnswer: 23, 41, 6971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68176774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/78 and -37\/2943?\nAnswer: 76518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-4) - (-12 + 1). What is the highest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 1 (c) 44 (d) 3.6 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -208 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q - 16*q - 10*q + q + 25*q**3 - 3*q.\nAnswer: 25*q**3 - 18*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*r + 22815 = 315*r + 3936 for r.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 27*s**2 - 27*s + 49. Let p be w(-28). Solve 5*t - 3*k = 6, k + 3*k - p = -3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5641 (base 11) to base 9.\nAnswer: 11161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 406, 1653, 3738, 6661, 10422?\n\"Answer: 419*q**2 - 10*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -192 + 108. Let m = n - -81.5. Let a = m + 2.50002. What is a rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232.56 - 231.5329. Let u = -0.992 + p. What is u rounded to 3 decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -32. Let t = -18 - b. Let w be (-2)\/(-4) + (-15)\/t. Solve -1 = -m + w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 5*d, -46*r + 42*r = 3*d - 29 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 - b - 32. Determine j(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -11645 = -8302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 5*t + 740, -163 = n - 2*n + 2*t. Suppose 2*l = -n - 69. Is (-2)\/(1*6\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11365 - 9643. Calculate the remainder when c is divided by 72.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/280)\/((-6)\/50)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1218 - -6407. What is the thousands digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 277*o**6\/6 + 464*o**3\/3 - o**2 + 1759. Find the third derivative of v(x) wrt x.\nAnswer: 16620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574568.\nAnswer: 2, 71821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 654499150?\nAnswer: 2, 5, 17, 769999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*n**2 + 13*n + 17 + 40 - 16 - 6*n.\nAnswer: -27*n**2 + 7*n + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 + 105*a**2 - 102*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cswsxww. What is prob of picking 1 w and 1 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 306\/(-170)*-3*5\/(-3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99 - -157. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 3, 28, 0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}