diff --git "a/data/dm_maths/full_data/2179_11255.jsonl" "b/data/dm_maths/full_data/2179_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2179_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let h be -3*4\/18*15. Let u be (-1)\/((-18)\/h + -2). Suppose 4*d + u*r = 7*d - 52, -d - r = -12. What is the greatest common divisor of d and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 954948858 to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 6*g**2 - 3. Let z be o(6). Let b(w) = 5*w**2 + 3 + 3*w - 8*w**2 - w**3 + w. Determine b(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-440)\/42350*11\/6\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b - 237 = -265. Let z = -2.3 + 2. What is the closest to -0.1 in -0.5, b, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2*y - 3. Suppose 5*s - 13 = -4*n + 12, 0 = -5*s - 2*n + 35. Calculate the smallest common multiple of 12 and 3*(39\/s - y).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 282 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(46*i + 0*i + 27*i)*(1 + 1 + 0)*(3 - 5 - 2)*(-2 + 2 - 1).\nAnswer: -584*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of 13*a**3\/2 - a**2\/2 - 2*a + 2. Does 7 divide y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/5)\/((-2223)\/(-78))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125994776 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 2*m - 0*m, 5*m = 5*a + 15. Is 94 + 3\/(-1) - m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 23 and 290?\nAnswer: 6670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 10) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -339*q - 24. Let n(p) = -508*p - 35. Calculate 5*n(z) - 8*x(z).\nAnswer: 172*z + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 218 + 2?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = -12*l - 12, 32*f + 9 = -3*l + 34*f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1.2. Let c = -10296 - -10300. What is the smallest value in -4, 1, c, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 1 = -2*h, 0 = 3*b + 2*h - 22. Let v(x) = -x. Let k be v(-10). Let q be (-2 - (-15)\/k)\/(1\/(-2)). What is the highest common divisor of b and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40851?\nAnswer: 3, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1062*n**2 + 456*n**2 + 323*n**2)*(1 - 3 + 0)*(3 - 1 - 4)*(1 + 1 - 5).\nAnswer: 3396*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-2)*(-3544)\/(-10). Let r(w) = 3*w**2 - 21*w - 66. Let o be r(-9). Suppose -l = -2*h + 2*s, -h = -5*s - o - 508. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 4*m - 184 = -2*f, 4*f = 3*m + 186. Suppose 10*o + 153 - 338 + 125 = 0. Calculate the highest common divisor of o and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 10*x**2 + 152*x - 59. Let l be o(8). Solve 0 = 3*f - 3*n + 9, l*f + 5*n + 27 + 8 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-4)*(-4)\/(-12). Let y = -0.06 + 0.06. Is i at most y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 10, 28, 54, 88, 130?\nAnswer: 180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498963.\nAnswer: 3, 59, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, j: 8, f: 1, g: 5, n: 2}. What is prob of sequence gtf?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 9785064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58740*d*i**2 - 2*d*i*p + d*i + 242*d*p**2 + 6*d*p - 564*i**2*p**2 - i*p**2 - 2743*i*p + 3 wrt i?\nAnswer: 117480*d - 1128*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 27.1 (b) -0.5 (c) -11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3346, 3271, 3182, 3073, 2938?\nAnswer: 2771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 102060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 854936.\nAnswer: 2, 106867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = 0. Factor -9*b**2 + 0*b + z*b + 8*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -10. Sort -1, v, 5.\nAnswer: v, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -332391 * -19.1.\nAnswer: 6348668.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 20 - 5. Let p(l) = -3*l - 46. What is the least common multiple of p(-17) and ((-15)\/25)\/((-1)\/x)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ollzuzzuxlbzzlz. What is prob of sequence ollx?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (209372\/28 + 1)\/(7\/196). Round y to the nearest 10000.\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + (-1750)\/(-455)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10952314*w**4 - 7*w**2 - w - 21241812 wrt w?\nAnswer: 131427768*w**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*r + 12 - 3, -1 = -r. Suppose -y*i = -7*i + 2722. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -2*y + 11, -7 - 7 = -2*y - 4*t for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 17*h**2 + 17*h + 13. Calculate m(18).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4870 - -4873. Sort 45, h, -6\/5 in decreasing order.\nAnswer: 45, h, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**3\/4 - 233*f**2\/4 + 469*f\/4 - 235\/4 = 0.\nAnswer: -235, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 21588928 and -4.\nAnswer: 21588924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 o, and 1 t when four letters picked without replacement from {t: 3, y: 9, o: 1, q: 2, p: 4}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -129.4 + 128.4. Which is the closest to -1\/5? (a) h (b) -1\/2 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2)*-6 + 1 + sqrt(8)*2 + sqrt(8) + 3 + (-2*sqrt(968) - sqrt(968)) + sqrt(968))**2.\nAnswer: -400*sqrt(2) + 5016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 168144414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-55 - (-99 + 20)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21312 = -708*g + 32496 for g.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 754 and 11368?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**2 + 2448*p - 749088 = 0. What is p?\nAnswer: 612","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Suppose -3*p - 3*r + 24 = w, 2*p - 2*r + 9 = r. Solve -q - 1 = p for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/8)\/(8\/16).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 4*y**2 + 5*y - 5. Let s be t(2). Suppose -3*f + 102 = -a, -11 = f + 4*a - 58. What is the greatest common factor of f and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwwbwwwwowwwwbbww. What is prob of sequence ow?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 9256.\nAnswer: 5\/9256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, 14, -17, 5, 2 in ascending order.\nAnswer: -17, 2, 4, 5, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = v, 4*v + 7*k - 4*k = 2. Let g be 1 + v\/(2\/1). Suppose -g*t = 3*t - 25. Solve 5*r = t + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 + r + 2. What is k(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 172.9909. What is h rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a gram in micrograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 AM and 4:37 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*u - 49 - 44 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-17)\/((-204)\/8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11668 + 17019. What are the prime factors of w?\nAnswer: 5351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105\/4 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -dea8 (base 15) in base 5?\nAnswer: -3002213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*g = 3*p, 3*p + 3 = 4*g. Let v be 288\/126 + 1*-2. Factor -v*j**2 - 8\/7*j**g - 6\/7*j**4 + 0*j + 0.\nAnswer: -2*j**2*(j + 1)*(3*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*k + 3*k. Suppose -2*o - 25 + 23 = 0. Let m(t) = 2*t**2 - 10*t - 8. Let b be m(o). Solve -3*f - 12 = 0, 4*z + b = k*z - 3*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.50933, 0.1, -3, 4?\nAnswer: -0.50933","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002123 to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u. Let h(r) = 631*r**2. Determine h(l(q)).\nAnswer: 631*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -11*j + 35. Let k(a) = a**3 - 7*a**2 + 11*a - 5. Let z be k(j). Suppose z = o + 6*o - 21. What is the highest common factor of 6 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 98. Let r(f) = f**2 + 5553*f. Give r(z(y)).\nAnswer: y**2 + 5749*y + 553798","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of n**3*v - n**3 + 256*n*v - n - 615*v + 3 wrt n?\nAnswer: 3*n**2*v - 3*n**2 + 256*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 4, j: 5, t: 2, e: 2}. What is prob of picking 1 j and 1 l?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -9)*3\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*j = -36*j + 14524. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/10*(45 - 0) - 2. What is the units digit of 1*(k - 1) - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*20025.\nAnswer: -80100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 111*o**2 - 43*o + 522. Determine h(56).\nAnswer: 1250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001001111101100 + 10010?\nAnswer: -10001001111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-5)*10\/(-4). Let j be -1 - d*147\/6. Suppose -l = -4*l + j. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -240.2, -97, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 594 - 702 = 0. Suppose 4*b - 6 = -z, 2*b + t*z - 10 = 39*z. Solve -v - 2*a - 2*a = 16, 3*v - b*a - 8 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 30347*x. Let y(c) = -c**2 - c + 15. Let z(a) = -5*a**2 - 6*a + 90. Let j(h) = -6*y(h) + z(h). What is j(g(o))?\nAnswer: 920940409*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 2*r - 3*r + 48 - 20.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20863 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qocqqgyyqqqgovqqcqgq. Give prob of picking 3 q and 1 c.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.5. Let x = -0.2 - 0.3. Let a = x - -0.3. Is v != a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -62259 and 0.29?\nAnswer: -18055.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/1 + -13 + 2. Let u = -35\/3 - d. Find the common denominator of u and -3 - ((-102)\/(-15) - 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(539) + 1 + sqrt(539) + 2)**2 + (6*(sqrt(539) - (sqrt(539) + 1)**2) - sqrt(539))*-6 + 4)*4 + -2 + -3.\nAnswer: 2520*sqrt(11) + 112411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 230945581 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -84017160014 and -7838?\nAnswer: 84017152176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5*y**(-3\/10)*y*y**(-3)*y**(2\/15)*y*((y\/(y**(-3)\/y))\/y**(-5\/3))\/(y**(-1\/7)\/y**4) assuming y is positive.\nAnswer: y**(205\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + -39. Let c(q) = -2*q - 1. Let n be c(2). Let o = n - -8. What is the remainder when o is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 711 + -684. Which is the second smallest value? (a) y (b) 6 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -5. Suppose 0*m - 19 = -m - 2*g, r*m - g = 28. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.233 + -0.028. Let z = h - -1.795. Let q = -0.32 + 0.02. What is the biggest value in q, z, -5, -1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -5*v + 4*u + 7, 3*v = -u - 5. Let m be 4\/v*15\/(-25). Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51 - (-37 - -110)) + -5 + -1 + 3.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 271612420 divided by 54322484\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(147))**2 + 3 + 0 + sqrt(147) - -1*sqrt(147)*4*-5.\nAnswer: -133*sqrt(3) + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16450801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162073.6um to nanometers.\nAnswer: 162073600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.029 and 585.12.\nAnswer: 585.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 50148 in 3, 1, 0.13, -5, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 51, 67, 83, 99, 115?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 690969.\nAnswer: 5527752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 22*i + 16*i - 9531 = 0. Let u = -175 + 314. Let x = i - u. What are the prime factors of x?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514*x + 28 = -500*x. Let c(l) be the third derivative of 7*l**x + 0 + 1\/6*l**4 + 0*l + 1\/3*l**3. Calculate c(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**2 + 6*w - 3. Let a(p) = 8*p**2 - 4*p + 0*p + 9*p - p**2 - 2. Suppose s = -19*s - 100. Determine s*a(i) + 4*g(i).\nAnswer: -3*i**2 - i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*h**4 + 248*h**2 + 249*h**2 - 499*h**2 + 2*h**3 - 1 to the form k*h**3 + v*h**4 + b*h**2 + t + d*h and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (97\/3 + 1)*6. Let g(l) = l**3 - l**2 - 2*l - 109. Let m be g(0). Let k = m + r. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 9. Let w be 44\/(-20) - -2 - (-153)\/15. Suppose 4*c - 1 = 5*t + 5, -t - w = -3*c. Let v be (-30)\/7 + t\/7. Calculate i(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2911*u**2 - 8322.\nAnswer: 5822*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36643.09 minutes in microseconds?\nAnswer: 2198585400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l - 4*l + (-6 + 4*l + 6)*(-3 - 2 + 1) + 2*l - l - 2*l)*(3*l**3 + 2*l**3 - 3*l**3).\nAnswer: -38*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*a - 1113 = 109*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -5. Let y(h) = 2*h**2 - 6*h - 4. List the prime factors of y(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(26)\/(sqrt(2) + sqrt(20)\/sqrt(10) + sqrt(2)) + ((-1*((2*sqrt(104) - sqrt(104)) + sqrt(104)))\/sqrt(8))**2.\nAnswer: sqrt(13)\/3 + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = 70*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a - 130. Determine g(7).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -358*q - 1073. Determine m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 92287 and 7812?\nAnswer: 23256324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 21520 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h - h + 16*h)*(2*h**2 + 1 + 0*h**2 - h**2).\nAnswer: 9*h**3 + 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n. Let u(g) = g. Let x(p) = -140*p**2 + 7*p. Let b(c) = 6*u(c) - x(c). Give b(j(f)).\nAnswer: 140*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 227167 (base 8) to base 7\nAnswer: 441514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.859 rounded to 1 dp?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14*s)\/(s*s**(-20)\/s)*s**(-1\/11)\/(s\/(s\/s**(1\/17))) assuming s is positive.\nAnswer: s**(6517\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69815 is divided by 69764?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 84*z**2 + 1444*z - 1820. What is t(-59)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34669095 divided by 127.\nAnswer: 272985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**2 - 106*i + 108 = 0. Calculate i.\nAnswer: -54, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(306) + (sqrt(306) - -2*sqrt(306)) + sqrt(306))\/sqrt(2))**2 + 0 - (sqrt(204) + sqrt(204)*3*-5)\/(sqrt(1728) + 3*sqrt(1728)).\nAnswer: 7*sqrt(17)\/24 + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 + -107. Let g = n - -54.3. Which is the fourth smallest value? (a) -0.4 (b) -1\/11 (c) 0.4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/8*(-5120)\/(-384)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-54)\/3*(-2)\/(-3). Let v be (-2)\/(-12) + (-58)\/o. Suppose -3*b - f - v = -5*b, 5*b + 4*f - 32 = 0. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, 5.\nAnswer: 0, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 100, 199, 298?\nAnswer: 397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 5 = 2*a. Let i be a\/((-244)\/(-128) - 2). Suppose x = -17 + i. 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 smaller: 274979\/38 or 7237?\nAnswer: 274979\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 3, 5, 40\/13 in increasing order.\nAnswer: -2\/17, 3, 40\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1878 + -1851. Suppose 0 = 3*d + 5 - 2. Let a be 1\/((-2)\/36)*d. Calculate the highest common divisor of a and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -5 + -5 - 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, a: 4, v: 1, w: 1, l: 1, k: 6}. Give prob of picking 1 q, 2 a, and 1 l.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -7. Let m = o - 1. Suppose -k - 1 = m*t - 4, 3*k - 4*t = -7. Which is bigger: 2\/19 or k?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 322 (base 7) to base 3.\nAnswer: 20001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of -2 - 3*(-11 + -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 7*j - 5. Let z = -5 - -7. Let w = z - 3. Let g be -3 + (-3)\/(-3)*w. What is b(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*t**3 - 61*t**3 - 3*t + 119*t**3 + 96 + 3*t.\nAnswer: -3*t**3 + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of 1\/6*u**6 + 0*u**4 + 6*u**2 + 0*u**5 + 0*u**3 + 0 + 8*u. What is the first derivative of q(h) wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -304863\/20 + 15243. Is d less than 0.42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) - (-7)\/((-17772)\/588 - -30).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 195\/130*(9 - 7). Put i, -1, 138, -4 in ascending order.\nAnswer: -4, -1, i, 138","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/298 and -57\/34?\nAnswer: 5066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 7, d: 10, b: 1}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, -2\/3559, 0.7, -0.5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/7 - 8198*x\/7 - 16404\/7.\nAnswer: 2*(x - 4101)*(x + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = c + 9, -4*c - 13 = -3*a + 1. Let i(l) = l**3 + 3*l**2 - 5*l. Let w be i(-4). Let x = a + w. Solve 0 = -2*p + x*m + 10, p - 5*m = -2*m + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, -8083, -2 in ascending order.\nAnswer: -8083, -2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -44143231, -88286457, -132429683, -176572909, -220716135, -264859361?\n\"Answer: -44143226*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 399 - 399. Solve -5*o = -4*h + 31, i*h - 17 = -2*h + 3*o for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 60*j**2 - 167*j + 230. Let r be w(-57). Solve -7*q + 4*q = 5*b + 10, b + r = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 11) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 69*p - 137*p + 71*p. Let r(m) = -5*m**2. Determine f(r(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, 69, 1, 4 in decreasing order.\nAnswer: 69, 5, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 103\/5? (a) 0.18 (b) 5 (c) 1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 - -28. Put -0.4, w, 5, -0.16 in increasing order.\nAnswer: w, -0.4, -0.16, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**3 + 3*m + 1. What is o(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 74 + 14117b?\nAnswer: 141233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 19583 = 6*x, -3*x = 85*o - 83*o - 39166. Round o to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 2:33 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 177.6 - 182.6. Suppose 3*w + 5*o = -7, 8 = -4*o - 0*o. Which is the fourth smallest value? (a) w (b) -6 (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/375 + 1\/3. Let y = 49 + -31. What is the biggest value in 5, a, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of 17\/6*c**4 + 28*c + 5\/3*c**3 + 0 + 0*c**2. What is the second derivative of o(r) wrt r?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + 1 - 3 - -3. Suppose 5*w - i - 60 = i, 0 = 2*w - u*i - 35. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 0 - 4 - 14*a - 16*a + 29*a + 5. Suppose 2*y - 12 = b, 0*y + 3*y = -2*b + 25. What is i(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9629.317 meters in kilometers?\nAnswer: 9.629317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 1717*m**2 + 33938*m + 27. Determine u(20).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - m + 41 = 0, -12*a - m - 57 = -16*a. What is the remainder when 1385 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3191983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppprdpdpopd. What is prob of sequence pddr?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijztu. Give prob of picking 1 t and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*x + 9079 - 8711 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -42? (a) 3 (b) -1\/5 (c) 23 (d) -55 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 256, 261, 264, 265, 264, 261, 256?\n\"Answer: -l**2 + 8*l + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7*p**2. Let o(k) = 3*k**2. Let x(s) = -4*s**2. Let w(c) = -8*o(c) - 5*x(c). Determine w(m(z)).\nAnswer: -196*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10779718?\nAnswer: 2, 1021, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwg when three letters picked without replacement from ggwgggww?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 10*o + 2*r + 10727, -o - r + 2151 = 0. Is o a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4074 is divided by 8\/18 - 1341213\/(-999)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116652420 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4245?\nAnswer: 3, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 31*r**3 + 1550*r**2 - 1052*r + 186. Let o(n) = -94*n**3 - 4652*n**2 + 3156*n - 556. Let g(z) = -14*b(z) - 5*o(z). Solve g(w) = 0.\nAnswer: -44, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 211 in 16, 5, 3, -259, 2\/25?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**0)**(2\/31)\/(h*h**(3\/2)*h**(4\/3))*(h*h**(-1\/2))**(1\/14)\/(h**(1\/3))**(-1) assuming h is positive.\nAnswer: h**(-2951\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 116 = 4*i, -q + 0*q = 5*i + 93. Let f = q - -108. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 + -162*(-33)\/(-990). Solve 8\/5*n**2 + 0*n**4 + 6\/5*n**3 - 1\/5*n**5 + 0 + t*n = 0 for n.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -13 - ((9 - 18) + 7) - 15.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/12*3\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2075639353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 477908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 42773, 42772, 42771, 42770, 42769?\n\"Answer: -s + 42774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -18. Let n(o) be the first derivative of -1\/12*o**4 + 0*o + 0*o**i + 0*o**3 + 1\/15*o**5 - 2. Factor n(d).\nAnswer: d**3*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -202, -2, -0.3 in descending order.\nAnswer: 5\/3, -0.3, -2, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 23 + -34. Let j = q + 19. Suppose -i + j = -38. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2552\/(-16) - (-10)\/4. Let n = q + 494. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32693 is divided by 32683.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*y + 6*y + 213 - 4*y**3 + 37 - 14*y.\nAnswer: -4*y**3 - y + 250","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7390, 15\/11, 5?\nAnswer: 15\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 151008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (32*q**2 - 8*q**2 + 4*q**2)*(q + 6*q + 2 - 6*q) to the form s + h*q**3 + a*q + w*q**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130799 is divided by 8173.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2 + 0*g**2 - 4*g**2. Let i(p) = -111150 + 111150 + 2*p. Determine i(a(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137380.\nAnswer: 2, 5, 6869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1583071?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.296016 to two decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 2. Let b be (4 + (-2 - -2))*1. What is the remainder when (-6)\/9 - (260\/3)\/(-4) is divided by q(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 - 0. Let q = 34\/65 + -12\/13. Let m(u) = u**3 - 7*u**2 + 5*u + 7. Let f be m(6). Which is the closest to 1? (a) f (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) -1 (b) -0.01 (c) 1 (d) -5 (e) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the third derivative of -1\/24*l**4 - 1\/2*l**3 + 0*l + 0 + l**2. Let u(i) = -1137*i + 5 + 3 + 2 + 1140*i. Calculate 7*f(g) + 2*u(g).\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 259 + -182. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75558630 to the power of 1\/3, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - ((-2 - -6) + -17). Suppose -m*s + 8 = -11*s. Suppose 0 = s*c + 29 - 69. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 32?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - h = 9. Solve s = -2*s - h for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 627658088 to the nearest integer?\nAnswer: 25053","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1473571260311 and -0.5?\nAnswer: 1473571260310.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8433?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15468 is divided by 119?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*q**2 + 61*q**2 - 158*q**2.\nAnswer: -30*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 75 = -3*r, 0*q - 5*q = r - 143. Calculate the highest common factor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 + 4*i + 2*i**3 + i**3 - 66 + 3*i**3 as j*i**3 + u + o*i**2 + m*i and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 2:42 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3156317 = -179*f - 3170995 for f.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 15*g + 67. Which is the closest to -5? (a) 2\/11 (b) 5 (c) g (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000616581062 rounded to six dps?\nAnswer: -0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10943*m**3 - 1812*m**2 - 17372860 wrt m?\nAnswer: 32829*m**2 - 3624*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13690368 divided by 19?\nAnswer: -13690368\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*t - 5*w, w - 2267 + 2301 = 5*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 4 + 7. Let i = 6 - l. Suppose i*d - 181 = -2*k, -3*d - 2*d = -3*k + 262. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1280.9335 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5956*m - 202495. Determine d(34).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 12:25 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 160727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/55 and 83\/88.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(3648)*-6)\/(4*1*sqrt(75) - 6*-1*sqrt(75)).\nAnswer: -48*sqrt(19)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -92, 0.4, 29, -3, 0.89 in ascending order.\nAnswer: -92, -3, 0.4, 0.89, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2*z - 69 = 0, 3*z + z = -12. Let g(j) = 14*j. Let o be g(1). Suppose 0 = -2*u - 3*c + 35, u - 2*c - o = -0. Is w bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 b when two letters picked without replacement from {p: 2, b: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**4 - 165*z**3 - 120*z**2 + 1340*z + 1920 = 0 for z.\nAnswer: -32, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, -47.7, -1, -211, -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -8116\/5 <= -1622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108268 is divided by 5155.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -26 (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 - -54. Let l = 13 + -11. Put o, 4, l, 7 in decreasing order.\nAnswer: 7, 4, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 - 270. Sort o, 6, 0, 5 in descending order.\nAnswer: 6, 5, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 13\/42*q**4 + 1 - 8\/7*q**3 + q - 4\/7*q**2. Suppose b(n) = 0. Calculate n.\nAnswer: -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, 148, 150, 152, 154?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + (-136)\/(-36) + -1. Let a be (-84)\/240 + 1 + (-7)\/5. Which is smaller: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, -3, 0.1, -5, -3\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/1673028 and -85\/894.\nAnswer: 249281172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*n = 5*s + 255 + 1146, -5*s + 1 = 3*n + 49 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 15, k - 2*a = -0*a. Let v = -6706 - -6710. Solve v*t + k = 6*t - 3*b, t = b + 2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -da - 2?\nAnswer: -dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/2 of a hour?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**2 - u**2 + 2*u**3 + (3*u**2 + 0*u**2 - u**2)*(5 - 5 + 4*u) + (0*u + 3*u - u)*(-2 + 2 - 2*u**2) - u - u**3 + u + 2*u**3 - 2*u**3 + 2*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2411*y**2 - 1258 - 1154 - 2*y**3 - 2411*y**2 + 566 to x + c*y**3 + m*y**2 + l*y and give x.\nAnswer: -1846","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 3*x + 0*x)*(-x - 2*x + x) + 39*x - 23*x + 2 - 16*x - 2139*x**2.\nAnswer: -2137*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t = 32. Suppose -7*k - 62 + 188 = 0. Let z = k + -10. What is the lowest common multiple of z and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333972?\nAnswer: 2, 3, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -57647*d + 120. Is q(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3800736?\nAnswer: 2, 3, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 364*b. Let q(p) = 2*p**2 - 40*p. Determine v(q(h)).\nAnswer: 728*h**2 - 14560*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/17 (b) 5 (c) 4 (d) 38.3 (e) -25 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -12489 and 8.27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 15924*h + 0 - 10009*h - 5901*h + 2.\nAnswer: 14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 206d6?\nAnswer: 206d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 33399797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5567677500 a multiple of 4092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**4 - 22569*f**3 + 42502995*f**2 - 211815891*f - 254341458 = 0. What is f?\nAnswer: -1, 6, 3759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 4*o + 5*o)*(2*o**3 + 3*o**2 - 3*o**2) - 1091 + 155*o**4 + 2184 - 1091.\nAnswer: 159*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhxhhhxhhxhxzxhxhh. What is prob of picking 2 h?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5230*r + 5225*r + 3*t - 16 = 0, 3*r + 16 = 5*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 6 - (-1 + 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zxxxoxzzqrxrxoxqhoxx. What is prob of sequence zqrq?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-245)\/(-105)*726\/77\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.00362 + -0.22338. Sort b, -2\/9, 5 in descending order.\nAnswer: 5, -2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g - 10. Let z(r) be the third derivative of r**4\/6 + 11*r**3\/6 - 7*r**2 - 29*r. Give -5*i(p) - 4*z(p).\nAnswer: -p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -35 - ((23 - 19) + 4)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5417 - -15186. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(1331) + 1)*3 + (-5 + 0 + sqrt(891) + (sqrt(891) - (sqrt(891) + ((sqrt(891) + 2 + sqrt(891) - sqrt(891)) + sqrt(891))*3)))**2.\nAnswer: 858*sqrt(11) + 22402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 316664378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8780 from -166.\nAnswer: -8946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 54 - (-10 - (-11 - -18))\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + 65\/15)*(-4062)\/(-5). Let g = 24343\/9 - w. What is the common denominator of 43\/8 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6197*s**3 - 12759*s**3 + 6432*s**3.\nAnswer: -130*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1010 and 101.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/(-20)*225\/1080. Factor -1\/3 + 0*y + l*y**3 + 1\/4*y**2.\nAnswer: (y - 1)*(y + 2)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 8\/6 - (-16 - -19)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-48)\/(-68))\/(-6) - 21\/(-34)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -5, 3225, -2, 23 in descending order.\nAnswer: 3225, 23, -2, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -64087*i + 0 + 65132*i + 0 to the form c*i + x and give c.\nAnswer: 1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1757 - -1778. Solve 4 = -5*o - p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13244355 (base 6) to base 12.\nAnswer: -1936bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2559\/7 - 365. Put -6, -0.3, 1\/2, p in descending order.\nAnswer: p, 1\/2, -0.3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*1 + 123\/3. Suppose -8*q + 4*q + 32 = 4*i, 5*q - 45 = -4*i. What is the greatest common factor of m and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 2*g - 2. Let b = 5 + 4. Let h(r) = b - r**3 + 5*r + 1 + 3*r**2 - 5. What is 2*h(d) + 5*v(d)?\nAnswer: -2*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 - -9.17. Let w = f - 16.1. Let k = 0.05 + -0.45. Which is the second smallest value? (a) -1\/8 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 69. Let w = -78 + 140. Let t = w + -40. Calculate the highest common divisor of t and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 721032052?\nAnswer: 2, 13, 79, 175519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 3. Let t(z) = z**2 - 9*z - 24. Let p be t(11). Let v = p - j. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 13 + 6*t - 5 - 5*t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54410690.\nAnswer: 2, 5, 41, 132709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - -5 - 8\/14. Put m, 2\/9, 5 in increasing order.\nAnswer: 2\/9, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 4*h**2 + 3*h - 3. Let k be c(3). Suppose 4*b - 414 = -2*l, 0 = 5*b - 4*l - 581 + 44. What is the greatest common factor of k and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -8) + 14 + (31 - -1)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38079 = 1303*u - 76585 for u.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 34*w + 124. Let r be k(30). Solve -20 = 6*h + r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 46*i + 24. Let s be y(7). Suppose -2*m = 5*t - 525, m = -3*t + 6*m + s. Is 21 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/361 bigger than -0.296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -79*r**2 + 53*r + 3168. Give t(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 4:13 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24941 + -15892. What are the prime factors of k?\nAnswer: 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8387896 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*d**2\/3 - 65972*d\/3 - 18848\/3.\nAnswer: -2*(d + 4712)*(7*d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 241795080.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22702 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543700 is divided by 5079?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 57*h**3 - 3*h**2 + 2*h. Let s(n) = 2*n**2 - 2*n. Determine -4*o(k) - 4*s(k).\nAnswer: -228*k**3 + 4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*g = 30. Let n be (6\/g)\/(2\/(-10)). Suppose n*l + 6 = 5*x, 2*x = -1 + 5. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8467 + 8470. Factor 0 - 23\/8*h**2 - 5\/4*h + 5\/8*h**q.\nAnswer: h*(h - 5)*(5*h + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -10. Let f = -200 - -214. Suppose f*o + 1 = 57. Put o, l, -1, -8 in decreasing order.\nAnswer: o, l, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 16. Let m be 1\/(24\/v + 3). Suppose -9 = -3*q, -52 - 12 = -5*b - m*q. Calculate the greatest common factor of b and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2285 + -1309. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25115, 25110, 25095, 25064, 25011?\nAnswer: 24930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/2 - 319015*k**2\/2 + 638033*k\/2 - 319017\/2.\nAnswer: -(k - 1)**2*(k + 319017)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 46.\nAnswer: 9\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*n + 2 + 0 - 12*n)*(2*n**2 - 5*n**2 + 5*n**2 + (-n - 2*n + 5*n)*(5*n - n - 3*n)).\nAnswer: 20*n**3 + 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23044 - 1330?\nAnswer: -24374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -10850, 3\/4, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*a + 5*n = -14*a + 27, 0 = 4*a - 2*n - 42. Calculate the highest common factor of a and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 207 = -4*y, -4*q + 338 - 62 = -3*y. Let j be q\/15*(2 + 3). Let f = j + -14. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z**2 + 2*z**2 + z**2 - 5*z**2.\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from khvkhmhhmkhmmhhhhhhm. What is prob of sequence hhv?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27627, 110531, 248713, 442179, 690935?\n\"Answer: d**3 + 27633*d**2 - 2*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r - 3. Let w(s) be the second derivative of 6*s**3 + 13*s**2\/2 - 3*s. Let v(d) = -9*n(d) - 2*w(d). What is v(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 + -1.9. Which is the third biggest value? (a) 5 (b) l (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of o**2 - 5*o**2 + 24*o**6 + o**2 - o**2 wrt o?\nAnswer: 2880*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1006 - 971. What is the remainder when z is divided by 19\/2 + 2\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -7*b**2 - 23*b + 207. Give h(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 8*c + 17. Calculate q(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3239430?\nAnswer: 2, 3, 5, 107981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113.204842 rounded to one decimal place?\nAnswer: -1113.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1947585 divided by -4135\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264 = -38*g + 588 - 19 + 493 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*s - 16*s - 69 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbs when three letters picked without replacement from {b: 2, g: 1, i: 1, c: 6, s: 7}.\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 399 and 192.\nAnswer: 25536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -885, -464, -43, 378?\n\"Answer: 421*b - 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.399 and -4.\nAnswer: -1.596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5*(7\/(-5) + 1). Suppose w*f - 14 = -v, -9 - 26 = -5*f + v. Suppose f + 5 = z. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k**2 - k + 1. Let z be l(1). Let d be 3\/(z*(-33)\/(-9)). Which is the closest to -2\/7? (a) -2\/7 (b) 5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/10 and 13\/148.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t + 3. Let c(k) = k + 2. Let m(h) = -2*a(h) + 3*c(h). Let r(g) = 2*g. Let n(f) = 2*f. Let l(v) = -5*n(v) + 4*r(v). Determine m(l(z)).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-4) - 3\/(-6). Suppose -3*j = 0, w*f - 4*j - 1 + 7 = 0. Let n = f + 5. Solve -4*q + n*o = 0, 0 = -5*q + 8*o - 4*o - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3\/6 + 33*r**2\/2 + 833*r\/2 + 2401\/6.\nAnswer: (r + 1)*(r + 49)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, 260, 2299 in decreasing order.\nAnswer: 2299, 260, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 + c**2 + 5242*c + 5240. Determine s(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 945286 and 18?\nAnswer: 8507574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8\/7 in 0.17, 2\/11, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**2)**(7\/2)*z*z*z**(-2)*z*z**(-3\/8) assuming z is positive.\nAnswer: z**(61\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8 - 2)\/(3 + -2). Let s = -205 + 674\/3. Find the common denominator of (-4)\/(-2) + 100\/o and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446080449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 1 + 2)*(-3*w + 4*w + 0*w)*(1415055 - 2749*w**3 - 1415055) - w**4 + 0*w + 0*w in the form i*w**2 + p + t*w + l*w**4 + q*w**3 and give l.\nAnswer: 5497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 56 = 34. Let a be y\/(7 - 12) - 1\/1. Let h(k) = 2*k**2 + k - 4. Let c(d) = -5 - 2*d + 6*d + 2*d**2 - 2*d. Give a*h(b) + 2*c(b).\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.5 (b) 5 (c) -2 (d) 4 (e) 7693 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*k + 35881052, 7*z - 44851315 = 2*z - 5*k. Suppose -4*d + 2*d = -21259474. Suppose d = 2*o - z. What is o rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-6))\/(8\/(-10)*380\/(-114))\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - 623. Round c to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 6. Solve 3*g = 2*j + 4 - z, 0 = -2*g - 2*j - 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 292 - 99. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 153 = 33 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.844808 rounded to 3 dps?\nAnswer: -13.845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 2)\/(4\/1904). Let w = 894 + k. Is 22 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -5*o - 2. Let s = -158 + 191. Let h(z) = 18 + 16 - s. Suppose 0*i - 5 = 5*i. Determine i*t(v) - 2*h(v).\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 10:22 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 13. Let t = -4 - -7. Solve 0 = t*z, -z - z = -v - l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-4 + 2 + 4)*(-1 + i + 3 - 1)*(i - i + 8*i**2).\nAnswer: -32*i**3 - 32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**3 - 2*c**3 + 3*c**3 + (c**2 - 2*c**2 + 0*c**2)*(0*c - 4*c + 2*c).\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f. Let i(z) = -3*z**3 - 4*z - 7. Let w(g) = -i(g) - 4*x(g). What is the derivative of w(d) wrt d?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -6 + 7 - -6) + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.17? (a) 5 (b) -0.169 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -53 + 14 + 0\/(-1). Let r = 45 + v. Solve 0 = x - r*x - 2*a - 1, 4*a - 12 = 4*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 241, 951, 2123, 3751, 5829, 8351?\n\"Answer: -w**3 + 237*w**2 + 6*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -5, -2.\nAnswer: -5, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*g = 2*o + 95*g + 103, -o - 7*g = 79 for o.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - -9. Let x = -0.1 - 0.9. What is the third smallest value in x, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 385890861*w - 608797565?\nAnswer: 385890861","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*s - 10764 = 26*s - 70*s + 42*s for s.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 15 = -6*x. Suppose -2*j + 0*j = -x*v + 87, -v + 3*j + 20 = 0. Suppose 0 = -3*h - 5*f + 2*f - 21, 5*f = 4*h - v. Which is smaller: h or -5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y**3 - 4*y**2 - y**4 + 66912 - 66872 - 3*y**3 as k*y**4 + d + q*y**2 + m*y**3 + t*y and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 5*v**3 - 4*v**3 + (2 + 1 - 5)*(-2*v**3 + 2*v**3 - 3*v**2 + 4*v**3) to o*v**2 + q*v + z + s*v**3 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 11:13 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/12)\/((-3)\/2). Let w(a) = a + 0*a**2 - p + 0*a**2 + 16*a**3. Does 11 divide w(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1976563.\nAnswer: 1976563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2615811 milligrams in nanograms?\nAnswer: 261581.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1263742 and 7602?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48 - (17 - (14 - -12))) + 4.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 + 3*s\/7 - 6\/7.\nAnswer: 3*(s - 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 4*b + 3. Let s be v(4). Solve -7*t + 2 - 3*t + 7*t**4 + 5*t**s + 5*t - 9*t**2 = 0 for t.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 137.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 3*o**2. Suppose w - 2*n = -2*w - 11, -4*n + 16 = 0. Let m be (-9)\/(-6)*((w - -3) + 0). Give y(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 9645 = -0*r. Let j = 25753\/8 - r. Let m = 1558 - 1557. What is the biggest value in j, m, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -54*v - 30. Let k(p) = -13*p - 7. Let b(j) = -9*k(j) + 2*y(j). Suppose 93*r = 92*r - 5. Give b(r).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4\/4 - 17731547*h**3 - 419210357171976*h**2 - 3303666310714429363348*h - 6607330944587571891164 = 0.\nAnswer: -23642062, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 12:09 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -819749\/27 + 30361. What is the common denominator of y and 17\/2313?\nAnswer: 6939","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 3*d**2 - 9*d - 2. Let i be f(5). Let c = i - 43. Is -1*(63\/c)\/((-2)\/(-10)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/10 - -9*(-8)\/120)\/(-3). Suppose -m = 2*m - 3*y - 9, 5*y = 4*m - 13. Let z = -2 + m. What is the closest to -0.1 in r, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhgmpmx. Give prob of sequence hm.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w + 4*w + 4*y + 48, 2*y + 8 = 0. Let a = w + 16. Solve -3*v - 5*n - 20 = a, -n + 2*n = v + 4 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 - 7*g**3 + 2*g**2 + 3*g**3 - g**3 in the form s*g**2 + h*g**3 + r + w*g and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -433 times 1\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 8*k - 3*k - 5, 1 = -g - 3*k. What is the remainder when 11 + -20 + 524\/(-4)*-1 is divided by 19 + g*8\/20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.14 and -9309.802?\nAnswer: 9309.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/218246 and 73\/546.\nAnswer: 8511594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40481472 divided by -534\nAnswer: -75808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -4614?\nAnswer: -4614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.265264 - 442778.3?\nAnswer: -442778.034736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 252871248 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45.25004 + -45.55. Let m = k + 0.3. What is m rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 3\/5, 2\/23, 5, 4.94?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420854700 rounded to the nearest one million?\nAnswer: -1421000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 7*s + 3. Let l be o(7). Suppose 12 = 6*j - l*j. Factor -j*g**2 - g**4 + g**2 + 0*g**2 + 0*g**2 + g + 3*g**3.\nAnswer: -g*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -1728*x - 744765. Calculate w(-431).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1.36 (c) 0.2 (d) 4\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 819, 821, 823, 825, 827?\n\"Answer: 2*u + 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4*m + 3*m - 12, -20 = 5*m. Suppose -49 = j*t - 285. What is t rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 1, 3*s + l + 9 = 2. Let g = 3 - 7. Sort -5, s, g in descending order.\nAnswer: s, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 2*q**5\/5 - 1732*q**4 - 7344*q - 5657. Differentiate i(d) with respect to d.\nAnswer: 8*d**3 - 20784*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/(15\/(-3)))\/((-38)\/171).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 - 21*w**2 - 13*w. Let r(y) = y**3 - 5*y**2 - 3*y. Let h(s) = s**3 + 7*s**2 - 15*s - 62. Let c be h(-8). Calculate c*q(l) + 26*r(l).\nAnswer: 2*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*a**5\/3 + 42*a**4 - 20*a**3 + 8*a**2\/3 = 0. Calculate a.\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p. Let f(v) = -12*v - 2. Let k(x) = 1136*x**2 - 20448*x - 3408. Let q(r) = -1704*f(r) + k(r). Determine a(q(w)).\nAnswer: -4544*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - c - 1. Let q(f) = 7*f**2 - 5*f + 8. Let r(i) = -q(i) - 6*s(i). Let m be r(10). Solve -3*z = m + 7 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 9*u - 24 = 0. Let b be (-9)\/u - (-3)\/(-12). Suppose 0 = b*y - 2*h + 2, -2*y + 5*h = 8. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 953275.\nAnswer: -3, 2, 953275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2197 = -49*u + 351. Solve 2*b + u - 60 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 - 6*v + 4. What is z(-8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 3:11 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -162 + 1210?\nAnswer: 107b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 3:21 AM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k = -3*k - 111*k + 3925 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-63158)\/(-2) - (-4)\/(-4). Suppose 37*b - q - 74945 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -11. Calculate the remainder when ((-2)\/(-3))\/(c\/702) is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 152, 312, 484, 674, 888?\nAnswer: 1132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -189*l + 600 + 279 + 66 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -228 or -113461?\nAnswer: -228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233021*n - 116463*n - 116474*n = -1512 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 136931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w - 1. Let r(s) = -4*s - 6. Let c(l) = 16*m(l) - 3*r(l). Let b(q) = 9*q - 4. Let p(h) = -6*h**3 - 3*h + 2. Let v be p(1). Give v*c(d) - 3*b(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -56*b - 2124. Let v be j(-38). Solve v*z + 14 = 7*c - 4*c, 2*z = 5*c for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -58104603, -116209201, -174313801, -232418403, -290523007, -348627613?\n\"Answer: -a**2 - 58104595*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z + 44 - 114 = 0. Sort -1, z, 36 in descending order.\nAnswer: 36, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, s: 4, x: 3, k: 1, y: 3, c: 1}. Give prob of sequence sxcx.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-24)\/14)\/((-2)\/49). Let v = u + -29. What are the prime factors of v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 5*n + 80, 5*a + 0*n = 3*n + 70. Let b(g) = g**3 - 6*g**2 + 2*g - 9. Let z = -7 + 13. What is the lowest common multiple of b(z) and a?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.3, 1\/5, 0.8347?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 230 divided by 192\nAnswer: 115\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v**4\/5 - 114*v**3\/5 + 692*v**2 - 2310*v - 3025 = 0. Calculate v.\nAnswer: -1, 5, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -5*l + 67*l**2 - 67*l**2 + 12*l**3 + 14*l. Let z(f) = -3*f**3 - 2*f. What is 2*h(j) + 9*z(j)?\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525 + 54\/6 - -8?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/(((-1116)\/96)\/(-31)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17663.3 - 17663. What is the nearest to -0.2275 in -4\/9, -0.2, x, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8869 + 10767. What is the remainder when c is divided by 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 25. Let m(n) = -n + 4. Let j(s) = -15*s + 55. Let l(r) = z*j(r) + 55*m(r). Let f(u) = 2*u. Calculate l(f(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*c + 9 - 3, -2*c = -2*k - 2 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 0.2039807.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28858 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -21\/5, 2, 0.088 in increasing order.\nAnswer: -21\/5, 0.088, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p**2 - 44*p**4 + 11*p**2)*(5*p + 2*p - p).\nAnswer: -264*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 3*h - 5. Suppose 4*y + 4*s + 48 = 0, 3*s = 3*y + 3 + 15. What are the prime factors of l(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*i**6 + 693*i**4 - 2*i**2 - 693*i**4 wrt i.\nAnswer: -1920*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/7 (b) 1\/49 (c) 0.7 (d) 24.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5*y**2 - 2*y - 10. Is r(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.65 - -1.4. Let r = 0.25 + u. Let i = r + 28.999856. What is i rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 14, 12, -2, -34?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o**2 + 2*o**2 - o**2)*(8*o**2 - 53*o**2 - 73*o**2) - 3*o**2 + 3*o**2 - o**4.\nAnswer: 353*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 951604\/13 or 73201?\nAnswer: 951604\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 652097 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = -5. Suppose -2*l = 3*v - 58, 0 = 5*v - t*v + 3*l - 47. Does 16 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s - 1. Suppose n - 14 = w, 4*w + 7 = n + 2. Suppose -5*u = d, -3*d - 4*u + n = 6. Give v(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 500 - 1004 - 21*y**3 + 502 to s + o*y**2 + x*y + r*y**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 63 = 261. Calculate the highest common factor of n and 1947.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -5*1*sqrt(468) - 2*(sqrt(468) + sqrt(468) + -1))**2 - (0 + ((sqrt(468) + 0)*5)**2)*-2.\nAnswer: -192*sqrt(13) + 53356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 80*o + 24. Let t(n) = 7*n + 2. What is -5*d(p) + 56*t(p)?\nAnswer: -8*p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7133 divided by -1019?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -203 + 204. What is the nearest to -15 in -2\/9, t, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001112 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 - 36. Let t(x) be the third derivative of -x**4\/24 - 65*x**2. Calculate t(c(k)).\nAnswer: k**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -p**3 - 57*p**2 + 3*p**3 + 58*p**2 - 187009.\nAnswer: 2*p**3 + p**2 - 187009","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1806 is divided by 291?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 0) + 13 + -17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/2 - (-2596)\/(-413).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -49508d (base 14) to base 11\nAnswer: -1465513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a - 7. Let c be r(-7). Suppose -2*w + 9 + 23 = c. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 2*r + 4*g, -3*r + 14*g = 17*g + 24. Let a(b) be the first derivative of -b + 2. Let i(l) = -l - 7. Let k(s) = -2*a(s) + i(s). Give k(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u + 4081 = -3*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*1 + sqrt(80))\/sqrt(2) + sqrt(40) - (sqrt(40) + 2*sqrt(160)\/sqrt(4)))*-4)\/((sqrt(32) - (sqrt(1568) + -2*sqrt(1568)))\/(1*sqrt(4)*3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1702 a factor of 241345302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 72. Give m(0).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*c + 96 + 351 = 0, -u + 165 = 2*c. What is the remainder when 586 is divided by u?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252)*-2 + 2 + sqrt(252) + 1 + 5 + (sqrt(252) - (sqrt(252) + 5)) + sqrt(252) + 2 + -3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2603.81 micrometers in centimeters?\nAnswer: 0.260381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21112010212 - -21?\nAnswer: -21112010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/(n\/(n\/(n*n**(2\/9))))))**(20\/3)\/((n**(-3\/13)\/n)\/(n\/(n*(n*(n\/(n**(-9)\/n))\/n)\/n))))**31 assuming n is positive.\nAnswer: n**(-79298\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2267*p + 4500 = 2285*p. Calculate the highest common factor of p and 1625.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*o + 515 = 0, j - 4*o = -4*j + 517. What are the prime factors of (5\/(j\/(-72)))\/(1\/(-7))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 244\/14 - 3\/7. Suppose -r = -5*f + 28. Is f\/27 + (-112)\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 14*w. Let x(a) = -2*a**2 + a - 1. Let q(y) = -y**2 + y - 1. Let b(j) = -2*q(j) + 2*x(j). Calculate b(d(m)).\nAnswer: -392*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.118, 1301, 5, -4\/291 in descending order.\nAnswer: 1301, 5, 1, 0.118, -4\/291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 63 - 3?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*o**2 + 5*o**2 - 6*o**2 + (0*o - 12*o - 10*o)*(4 - o - 4) + 2*o**2 - 3*o**2 + 4*o**2.\nAnswer: 29*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7258029*0.3.\nAnswer: -0.21774087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67268334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 4*d**2 + 14*d - 4. Calculate w(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -15 + 13 - 10 - 4*n + 34*n**2. List the prime factors of i(-2).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - l = -4. Let u(b) = -b**3 - 5*b**2 - b + 5. Let m be u(-5). Solve 4*p + m = l*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.38832975 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and -3858.035.\nAnswer: 154321.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39897 is divided by 285.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*u + 8*u + 53, 2*u + 2 = 0. Let q = -51 - k. Is 16 a factor of (0 - q\/(-6))*-183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.66 + 6.46. Let f = 124 + -88. Let w be (2\/(-5))\/(f\/(-20)). Which is the second biggest value? (a) q (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 37*q - 69. Determine h(25).\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -270481 less than 0.2?\nAnswer: 270481.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 40\/7. Let p = -113\/3 + 38. Let l = 1.1 + -1. What is the closest to y in 0.2, p, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + 104787?\nAnswer: 104786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7918299 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 82406731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/14 + 91\/147 + -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -7.3.\nAnswer: -2.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of -5*y**4\/12 - y. Let t(r) be the first derivative of r**2 + 4721. Determine l(t(p)).\nAnswer: -20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q = 2*q + 1313604. Let w = q - 155401. What is w rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 8*t + 12. Let i(l) = -15*l + 56. Let b be i(4). What is c(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/2)*i*i*(i**(-1)*i)\/i)\/(i**(-1\/3)*i)**(2\/71) assuming i is positive.\nAnswer: i**(631\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4283297 is divided by 1427761?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2018\/(-27243))\/(1\/(-162))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 13*i**2 - 22*i - 18. Determine x(-14).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 508*y**2 - 65786*y - 11678. Give k(615).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*l + 32, l + 14 = 4*k + 3*l. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*p + 46*p = -84 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 - 12*w**2 - 9*w + 8. List the prime factors of y(13).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-111135)\/4302*12*(-3)\/15\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6086611 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - (4 + -8))\/(20\/(-24)). Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31120246 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 962 is divided by 905?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/805 and 91\/6900.\nAnswer: 48300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3))**17\/(b**(-10)\/(b\/b**8)) assuming b is positive.\nAnswer: b**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 78\/2078125 and -47\/779?\nAnswer: 85203125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8424)\/(-340704)*-91)\/(-1*1\/(-4))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - k + 20. Suppose k*t + 3*h - 24 = 0, 20 = 5*t - 0*h + 5*h. Solve 2*j + 0*j = -t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13137 - -13182. What is the least common multiple of 318 and t?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n + 3*n - n - n to the form y + u*n and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3062*x - 5039*x + 29833 = 5741*x - 8757 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-5)\/(-5))\/(31\/310).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 121261 and 295056545.\nAnswer: 7133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5565951 and 1.\nAnswer: -5565951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 59600 + 59240 = 0 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o - 1. Suppose -5*v = -23 - 7. Suppose 2*j + 5 = -5*t - v, -3*j - t + 3 = 0. What is l(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the second derivative of 2*f**3\/3 + f. Suppose i - 45 = -3*u + 6*i, -2*i - 60 = -4*u. Let x(w) = 30*w**2 - 17*w**2 - u*w**2. Give x(n(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 106.9 - -2.1. Let l = q + -114. Sort -1, 2\/21, 0.4, l.\nAnswer: l, -1, 2\/21, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 35 = 57. Suppose -5*n - 28 = -3*g, -4*n - 7 = -o. Solve 4*q = g, -18 = -z - 4*q - 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 0, -5, 9, -0.05?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**3 - 2*s + 13. Let p(z) = -13*z**3 + 5*z - 26. Let h(y) = -5*b(y) - 2*p(y). Find the first derivative of h(x) wrt x.\nAnswer: -27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75303 is divided by 416.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74429171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -13\/6*z**3 + 1\/360*z**6 + 0 + 1\/30*z**5 + 0*z - 4*z**2 + 1\/6*z**4. Let f(v) be the first derivative of x(v). Factor f(d).\nAnswer: (d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/12 + 995*(-2)\/2760)\/((-60)\/450)\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.6 - 8551?\nAnswer: -8514.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 19. Let k be j(-22). Suppose -3 = f, k*u + 11 + 16 = 4*f. Which is the closest to 1? (a) 3 (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = -l. Suppose 78 = 4*h - 2*x, -l*h - 65 = -7*h - 5*x. What is the highest common divisor of 20 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 4 = 0, 5*r + 19 + 8 = 2*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64646.67 millilitres?\nAnswer: 64.64667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {a: 2, q: 2, x: 8, u: 1, w: 1}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2. Let s(g) = -8*g - 71*g - 51*g + 17*g - 147*g. Determine p(s(f)).\nAnswer: 67600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.552 less than -6?\nAnswer: -5.448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 36860 to the nearest 1000.\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 + 2*r**2 - 5*r + 2. Let q(v) = -44*v - 791. Let x be q(-18). Give g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32.1 + -32. Which is the nearest to y? (a) -0.3 (b) -2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.020207946 + 0.8.\nAnswer: 0.820207946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**3 - 394 - j**2 - 400 + 791 - 7*j as q*j**3 + u*j**2 + i + m*j and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/3839680 and -55\/56784.\nAnswer: 80633280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 61*-0.1079238\nAnswer: -6.5833518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40890\/(-464) - -88)*(0 + -56)*(-300)\/(-21).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (280\/(-10)*(-2)\/49)\/(-2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*-6 - -20. Suppose -z - j - 14 = -5*p, -2*z = p - 14. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3426615994 and 0.1.\nAnswer: -1.2426615994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -35, 17*n - 28*n + 2*i = -12*n + 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11810 = 4*r + 2*i, -r - 5*i + 2744 = -222. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14717 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 240*g + 238*g + 4 = 0, 0 = -6*d - g + 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1288546846*b*i**2 + 3953122*b*i - 6*b - i - 4 wrt i?\nAnswer: -2577093692*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/(-204)*570 + 1044\/126 + 6\/(-21).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-16))\/(6\/(-28)). Suppose -5*l - 2*s = -u*s - 285, -s = -2*l + 109. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m - 3. Let k be p(-8). Let j(x) = x**3 - 4*x**2 + 6*x - 1. Let r be j(k). Suppose 95 = y - r. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31445030, 31445028, 31445026, 31445024?\nAnswer: 31445022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 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 b(c) = -28*c**3 + 168*c**2 - 112*c + 8. Let g(k) = -19*k**3 + 112*k**2 - 74*k + 5. Let t(z) = -5*b(z) + 8*g(z). Factor t(o).\nAnswer: -4*o*(o - 4)*(3*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -192.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 r when two letters picked without replacement from lqsqqyr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84 divided by 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -68 and 20.582.\nAnswer: -1399.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3195 divide 6805495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51965 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -111111100100111?\nAnswer: -111111100100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-2)*k*k*k)\/k)\/(k\/((k**(-10)\/k)\/k)))**(2\/107) assuming k is positive.\nAnswer: k**(-24\/107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 l when four letters picked without replacement from lmmqozlo.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -f + 16 - 3, -5*q + 115 = 5*f. Suppose 3*i - h - 2 = 0, 0 = -13*i + f*i + h - 14. Calculate the highest common factor of i and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a litre in millilitres?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707544035.\nAnswer: 5, 11, 137, 93901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 5*u + 4. Let m be v(2). Suppose m*t = 5*t. Which is smaller: 2\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) + sqrt(78) + -6*sqrt(78)*1 + (sqrt(78) - (6*(4*sqrt(78) + sqrt(78)) - sqrt(78))))\/(3*(sqrt(150) + sqrt(150)*-2 - sqrt(150))*-1).\nAnswer: -16*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 169 and 0.6093.\nAnswer: 102.9717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381 + 5948*l + 381.\nAnswer: 5948*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 204?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w**2 + 39*w + 7. Let z(h) = 19*h**2 - 78*h - 13. Give 7*p(j) + 4*z(j).\nAnswer: -j**2 - 39*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 264530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 28*i - 166. What is g(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 6 = 5*p. Let o = p + -4. Solve c + 6 = o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g\/(g\/(g\/g**(-1\/8))*g)))\/g**2)**(-6))**(-34))**(-11) assuming g is positive.\nAnswer: g**(9537\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 166 + -16. Let t = -30 + v. Let u = 2250 - 2238. What is the highest common divisor of u and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**4 + 54430*l**3 - 9640936*l**2 + 19064136*l = 0. What is l?\nAnswer: -27391, 0, 2, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 189 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*a + 20, 2*a - a = -5*u - 5. Let m = -5 - -11. Solve -2*h + m*h + 4 = u for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22.804036 - -22.8. Let c = l - -0.004. What is c rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {e: 5, v: 1, j: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*a - 598 - 74. Suppose -2*r = r + a. What is the units digit of (286\/(-4))\/(14\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -24. Let y(c) = 0 - 2 - c + 3. Let g be y(-1). Solve -6 + t = g*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7020 = 54*j + 76*j. Sort -19, 0, j.\nAnswer: j, -19, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3570282.\nAnswer: 2, 3, 198349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139.9 - -144.9. What is the closest to 0.2 in 3, o, -0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 1792, -4, 4 in increasing order.\nAnswer: -4, 0, 1, 4, 1792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 56. What is the remainder when -59*((-4)\/(-2) + -3) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from eypiypy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 764*d**3*o + 2247684*d**3 + 303*o**2 with respect to o.\nAnswer: 764*d**3 + 606*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2548) - (sqrt(2548) - (sqrt(2548) + (0 + sqrt(2548))*3))**2) + 3.\nAnswer: -22931 + 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33\/2 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12306731*l*q**2*x + 2*l*q**2 + 211*l*x + 2*l - 21*x - 2697 wrt q.\nAnswer: -24613462*l*q*x + 4*l*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*w - 33 - 27 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 64, 67, 50, 7, -68, -181, -338?\nAnswer: -545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 12:43 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -4, 2, 0.4, 99 in increasing order.\nAnswer: -4, -2\/5, 0.4, 2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 405631459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29804.\nAnswer: 2, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -2426 + 2854. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + -4 + sqrt(425)).\nAnswer: -21 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-12)*-2*(-1)\/(-3)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k + 2*k - 2*k**5 + (-5*k**2 + k**2 + 5*k**2)*(k**3 + 1 - 1) + 0*k**5 - 4*k**5 + 3*k**5 + (k**3 + 1 - 1)*(1 - 1 - k**2) - 18*k**5 + 58*k**5 + 21*k**5.\nAnswer: 58*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 27, -9\/17, 2, 1, 19, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40175 is divided by 2356.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8020, 36687, 84472, 151381, 237420, 342595, 466912?\n\"Answer: z**3 + 9553*z**2 + z - 1535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 24 - 4. Let p = -2 + t. Suppose p*q - 11 = 1. Is 2 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 6*w**2 - 8*w. Suppose 3*i = -8 - 4. Let r be j(i). Solve -5*o - 6 = -p, 12 = -r*p - p - 4*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -12\/7 (c) -1\/3 (d) 909\/100 (e) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*(3 + (-33)\/(-18)*-2). Calculate the greatest common factor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1269.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.03308 + 0.031. What is c rounded to 4 dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935159 is divided by 7665.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -598845 less than -0.3?\nAnswer: 598844.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**7)**(13\/4))**(-17))**(-1\/10))**8 assuming c is positive.\nAnswer: c**(1547\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -7. Suppose -3*n = 3*u + a, 5*n = u + 6 + 3. Let l be (-8)\/8 - (-4)\/n. Is 3 greater than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330.05 - 16?\nAnswer: 4314.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -287 - -594. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*r + 34*r - 53*r)*(-2 - 3 + 3)*(r**4 + 0*r**4 - 7*r**4).\nAnswer: 216*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 7 - (-2 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**3 - 6*c**2 - 2*c + 5. Let s(b) = b**3 - b**2 + 1. Suppose 5*p = p + 24. What is p*s(z) - j(z)?\nAnswer: -z**3 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1189069815228*g**2 + 4 + 1189069815225*g**2 - 1 - 3.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrvvrrrr. Give prob of sequence rvr.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(28*6\/504)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*i**2*o - 291717*i**2*t + 2039*i*o + 16*i*t wrt i.\nAnswer: -4*o - 583434*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 728272 (base 14) in base 5?\nAnswer: 1442122134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.7067 - -0.4067. What is the closest to -2\/53 in z, -1\/2, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3 - 3*f**2\/2 - 3*f + 3. Suppose z = -6 + 9. Give a(z).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/476*((-3 - 3925\/(-125)) + -28)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 318*p**2 - 653*p - 6778. Determine n(-316).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -11*n + 11. Let w(q) = q - 1. What is r(l) + 6*w(l)?\nAnswer: -5*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(520) - (sqrt(520) - (sqrt(520)*2 - sqrt(520)))*-4)\/sqrt(10) - ((sqrt(156) - (sqrt(156) - (sqrt(156) + sqrt(156) + sqrt(156)*-3)))\/sqrt(3) + -5).\nAnswer: 5 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*k - 8 - 5 - 4 + 19.\nAnswer: -16*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x + 4. Let h(g) = 4*g + 3. Let z(j) = -2*h(j) + 3*r(j). Let t be z(6). Factor -3*d**2 + 20 - 20 + t*d.\nAnswer: -3*d*(d - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(280) + 1*sqrt(280))\/sqrt(10))\/sqrt(4)*5.\nAnswer: 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 3 (c) 169 (d) -8 (e) 0.1 (f) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 5:55 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 199 divide 1263950102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 19.194213307373.\nAnswer: 19.194213307373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 PM and 1:26 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 14 + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s - 6*s - 3*s)*(-3 + s**3 - s**4 - s**3)*(-1 + 1 + 2).\nAnswer: -4*s**5 - 12*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 200 = 4*f + 124, -2*f = -5*l + 414. Is l a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 180 - 2*j**4 - 181 + 5*j + 0*j**2 - 2*j**2 + 5*j + 2*j**3 to x*j**2 + t + p*j + n*j**4 + w*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -27\/29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**(1\/11)*r)\/r)**(-29) assuming r is positive.\nAnswer: r**(-348\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 0*a + 3*a - 13*a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1\/6, -26, 0.064152, 3\/4 in decreasing order.\nAnswer: 3\/4, 1\/5, 1\/6, 0.064152, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.606 (b) 1\/3 (c) 34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9696, -19396, -29096, -38796?\nAnswer: -48496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 804 and 201.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3185.06 + 3151. Round s to zero dps.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-20)*3\/(6\/5). Let q = 47 - 38.7. Let r = 8 - q. Which is the closest to 0? (a) r (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1185 a factor of 4003207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/830515 and 113\/610.\nAnswer: 1661030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 214316.5t?\nAnswer: 214316500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u = -18*u - 78 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r*r**(-1\/4)*r**1\/r*r*r\/(r*r*r*r*r**(1\/9)))**(-23) assuming r is positive.\nAnswer: r**(1955\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-one quarters of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 44*y + 293. Calculate b(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12952 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -11. Let f = -2 + w. Suppose 5*o - 3 = f. Is 2\/7 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.213649 meters?\nAnswer: 0.000213649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -141829000 rounded to the nearest 100000?\nAnswer: -141800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3081*z. Let x(u) = 19812*u**2. What is x(l(t))?\nAnswer: 188066618532*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -193660000 rounded to the nearest 1000000?\nAnswer: -194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103327.52143 + -103270.52. Let b = w + -57. What is b rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1989944.\nAnswer: 2, 11, 22613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -1. Suppose -3*b + k = -0*b. Find f, given that -3*f - 2*f - b*f - 2*f**2 + 3*f = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-49)\/21 - -2 - (-10)\/21\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8 and 0.0032.\nAnswer: 0.0256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -10*j**3 + 3*j**2 - 2*j + 3. Let f(u) = u**3 - u**2 - 1. Suppose 12 + 0 = -3*c. Let b(s) = c*f(s) - r(s). Determine b(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**2 - 114*v + 2499. What is x(16)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 338 - 338.6. Which is the smallest value? (a) -3\/7 (b) 18 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 + 55*l - 33. Let z be h(-19). Let r = 50 + -48. Solve 0 = -r*u + 5*d - 13, 5*d - 34 = z*u - 9 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, h: 5}. What is prob of picking 3 i?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + 13. What is the greatest common divisor of i and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 277 = 3*w + 3*d, -5*d = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f. Let b = -178 - -182. Let l(v) = 2*v - 1. Calculate b*l(y) - 3*m(y).\nAnswer: 2*y - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of 142*b**3\/3 + 113*b**2 - 221*b. Differentiate w(d) with respect to d.\nAnswer: 284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -496*k - 491*k + 2 - 21*k**2 + 1472*k - 486*k in the form g + j*k**2 + w*k and give j.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 3, p: 4, n: 2, x: 2}. What is prob of sequence nep?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -540*h**4 - 550*h**4 + 1052*h**4 - 4*h**3 + h - 3*h**3 - h**2 as x*h + f*h**2 + a*h**4 + t + g*h**3 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(8\/9)*l**(-3\/10)*l*l**(-9\/8)*((l\/l**(-10)*l)\/l)\/l)**(1\/74) assuming l is positive.\nAnswer: l**(3767\/26640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20aa225 (base 14) to base 12.\nAnswer: -5221221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3609 a factor of 214403472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 6*s + 9. Let c be x(7). Suppose 0 = 2*q + 4*y + 24, -y - 5 - c = q. What are the prime factors of q\/(7\/(-5) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/((-4)\/(-6)). Suppose 2*g - 55 = t, -3*g - 4*t + 37 = -18. Suppose -b*j + 37 = -g. Calculate the remainder when 90 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*h + 3*h + 2*h)*(-2*h - 3*h + 2*h) + h + 3*h**2 - h + 0*h**2 + 3*h**2 - h**2 - 177*h + 63*h**2 + 177*h to z*h + r + w*h**2 and give w.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.600051 + 2.6. Round h to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10.03 or -7\/27?\nAnswer: 10.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-1\/3))\/k*k*k*k*k*k\/k**(6\/17)*k*k assuming k is positive.\nAnswer: k**(356\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:12 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4337*n + 4349*n - 156 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 plus -0.03255605?\nAnswer: 56.96744395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - 0.6. Let b = -1.924 + -0.076. What is the closest to b in v, 1\/3, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/(9\/108).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 3*s**2 + s + 3. Let p be r(-3). Let l = -1 + p. Suppose 3*j = -5*x + 7*j - 20, 0 = -j + 5. Is x less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 4*s - 0*s - 232, 2*a - 104 = s. Let u = -12207 + 12236. Calculate the remainder when a is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1049 in 0.5, -0.5, -36, -3\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, -3, -31 in decreasing order.\nAnswer: -1, -3, -11, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 731 - 577. Calculate the least common multiple of 140 and b.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3\/2 and -50694 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 8*d**2 + 5*d - 10. Let g be p(-7). Let m be ((-2)\/g)\/((-2)\/12). Suppose -51 = -3*i + 3*q, 19 = -i + m*i + q. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5 = 3. Let m = 22 + -12. Let k = u + m. Solve k*p + 5 = -1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 56 + 0 + (-119 - -96)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 301228?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294586 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 198 = -9*u. Suppose o = -u + 4. Let z be (24\/o)\/((-6)\/21). Solve -4 - z = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + sqrt(1700)*2 + 0 - sqrt(1700) - (sqrt(1700) + sqrt(1700) + sqrt(1700)*-1 + 4))**2*2.\nAnswer: -160*sqrt(17) + 3432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8261 not equal to -8205?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44 - 57) + (14 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 295742 to the power of 1\/2, to the nearest integer?\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*a**2 - 322*a**2 - 251*a**2.\nAnswer: -651*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a microgram in nanograms?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*q = 4*n - 61, -56 = -4*n - 4*q. Suppose 5*g = -c + 6, -2*g = 2*c - 6*g - 54. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:04 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 5:58 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 8*w + 65. Let l(f) = 2*f + 32. Give -5*l(v) + 2*q(v).\nAnswer: 6*v - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 6784*f**2 - 477*f. Let x(z) = 57*z**2 - 4*z. Calculate -4*j(c) + 477*x(c).\nAnswer: 53*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3 + 1*sqrt(17) + ((sqrt(68) + (sqrt(68)*1 - sqrt(68) - sqrt(68)) + sqrt(68))*4 + sqrt(68))\/sqrt(4))**2.\nAnswer: -36*sqrt(17) + 621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 9*t**2. Let z(f) = -110*f**2 - 6*f**2 - 19*f**2. Determine z(v(w)).\nAnswer: -10935*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 4*u**2 + 4*u + 11. Suppose 92 = 5*o - z, -o + 16 = -20*z + 19*z. Calculate the remainder when y(5) is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21725\/7 - -3104. Which is the nearest to 0.2? (a) -2\/7 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011 - 10001001110?\nAnswer: -10000001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14780, -58696, -131812, -234122, -365620, -526300, -716156, -935182?\nAnswer: -1183372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -4*l**4\/3 + l**3\/3 + 17*l**2 - 110*l. What is the first derivative of i(m) wrt m?\nAnswer: -32*m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 6, 92, -5 in decreasing order.\nAnswer: 92, 6, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*b + 17*b + 92. Suppose -55 = -21*z + b. Solve -p - r - r = 1, -2*p + r = z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1181829 to the nearest integer?\nAnswer: 1087","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -41, -157, -259, -341, -397, -421, -407?\n\"Answer: v**3 + v**2 - 126*v + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*d + 4*d - 3*d - 7*d - 3*d - d + (-d + 0*d - d)*(0 - 1 - 2))*(2 + 1 - 5) to q*d + t and give q.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3059 + 22648. Suppose -4*d + 2*p = -p - 78400, 2*p - l = -d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/2916 and 169\/55176.\nAnswer: 13407768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -829381 - -495381. What is k rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190522 and 172?\nAnswer: 16384892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/18*1 + 5 - 46\/3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -133) + (-90565)\/590.\nAnswer: -49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8957367*-6.\nAnswer: -53744202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.9642909 to 1 decimal place.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.7 - 8. Let q = 6 + -8. Sort 0.3, q, m in descending order.\nAnswer: 0.3, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1867 - 1296. What is the remainder when g is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 630, 1325, 2008, 2673, 3314, 3925?\nAnswer: 4500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1972440 - 778263. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 540.0784 - 156.0148. Let u = m - 384. Round u to 3 decimal places.\nAnswer: 0.064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/3 + 243982*w - 2927736 = 0 for w.\nAnswer: 12, 731934","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -12 + (-2 - -15) - 17\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 707*p**6*v + p**4*v**3 - 3*p**3 + 83*p**2*v**3 + 2*p**2*v + 2*p**2 - 3*p*v**2 wrt p?\nAnswer: 84840*p**3*v + 24*p*v**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 14*f - 12. Let r be a(-5). Let u = -33 - r. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-570)\/(-18) + -32)\/((-2)\/1088574) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (30\/8)\/(9*6\/(-144)). Let h = v - 0. Let y(q) = -q**3 - 10*q**2. Give y(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11 - -3) + 3 - 1) + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l*l\/(((l*l*l*(l\/(l*(l**10*l)\/l))\/l)\/l)\/l)*l)*l)*l)\/l**(1\/54) assuming l is positive.\nAnswer: l**(701\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3)*(j + j + 2*j)*(35*j**4 - 4*j**3 + 4*j**3 + (0*j - 3*j + 2*j)*(3*j**3 + 0*j**3 - 2*j**3)).\nAnswer: -272*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71791 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -122*w - 506. Is 27 a factor of g(-40)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 9:51 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -721*p**4 + 81*p**2 + 1?\nAnswer: -17304*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 12033?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 57 (b) -41\/4 (c) -20 (d) -1 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 226*c*k**3*s + 3*c*k - 2168*c - 7729*k**3*s + 2*k**3 + 11*k**2 + k*s - 6*k wrt s.\nAnswer: 226*c*k**3 - 7729*k**3 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from voeeeeoeoooeoee. Give prob of picking 3 e and 1 o.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 5*c + 4*x, 24 = 1608*c - 1605*c - 2*x. Determine b, given that -1\/5*b**c - 144\/5 + 24\/5*b = 0.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.06 and -45307998?\nAnswer: 45307998.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of x**4\/4 + 2*x**3 + 5*x**2\/2 - 6*x + 61. What is the least common multiple of 27 and w(-4)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -17. Let z(d) = 5 + u*d**2 - 5. Let f(p) be the second derivative of -p**4\/4 - 224*p. Determine z(f(b)).\nAnswer: 81*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9549 - 9547. Solve j = 30*k - 25*k + 26, i*j = -5*k - 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 5*i - 4*p = 334, 0 = i + p - 65. Is i a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + q**3 - 2 + (3*q + q - 2*q)*(-q**2 + 3 - 3) + (7*q - 22 + 22)*(-2*q**2 - q**2 + 5*q**2).\nAnswer: 13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtr when three letters picked without replacement from {d: 1, t: 5, r: 3, u: 3, m: 8}?\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c*m**3*n**3*r + 9*c*m**3*n**2 + 251*c*m**2*n**2*r - 4*c*m**2*n*r - 3*c*n**3*r - 11*m**3*r + m**2*n**2 - 2*n**3 wrt m.\nAnswer: -6*c*n**3*r + 54*c*n**2 - 66*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 12*o**2 + 2*o + 1. Let h(w) = w**3 + 14*w**2 - 2. Let k be h(-14). Let d be t(k). Let b = d + -23. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -33*v**2 - 5*v + 8. Let x(b) = -33*b**2 - 6*b + 10. Determine -5*k(l) + 4*x(l).\nAnswer: 33*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 195663615 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -9 - (-28 - -13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c - 2. Let g(d) = 5*d - 1. Let b(u) = 2*a(u) - 3*g(u). What is the units digit of b(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 5*q + 10. Let j = 45 - 39. Let y be a(j). Is (-2)\/((-7)\/(938\/y)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -89*j - 814. Give v(-9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 411789 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/13 + 57344*g**2\/13 - 410984442*g\/13 - 822198276\/13 = 0?\nAnswer: -2, 14337","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 2\/5, -23, -1\/15?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32866\/(-19860) - 800\/(-480) and -1\/2648.\nAnswer: 13240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75874 or 75876?\nAnswer: 75876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**2 - 40825*m\/8 - 40833\/8 = 0. What is m?\nAnswer: -1, 40833\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15227, -15236, -15251, -15272, -15299, -15332?\n\"Answer: -3*b**2 - 15224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-128)\/(-12) + -3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 0, 2, 6, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 33363311.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 35*l + 48. Let j be p(-1). Let a(z) = z**3 + 8*z**2 - 5*z - 7. Let q be a(-8). Let s(h) = -h**2 + 8*h + 13. Let d be s(9). Solve d*t - q = -j for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u - 1. Let y be -1 - 3\/6*6. Let k(q) = -28191*q + 1 - 5 + 28190*q - 1. Calculate y*d(c) + k(c).\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.87 and 0.5.\nAnswer: 2.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 44649 or 44645?\nAnswer: 44649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 8*v - 8. Let z be o(-6). Let s(l) = -l**2 + l - 1. Let n be s(0). Let j = n + z. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 i when four letters picked without replacement from rrxrxrxuririurixuz?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -10. Suppose -5*g - 15 = -2*z, -g - l*g - 15 = 0. Let w(b) = -b - 10. Give w(z).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -243.444 to the nearest integer.\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*k - 7*k**3 - k**3 + 40*k**2 + 3*k**3 - 50*k + 90.\nAnswer: -5*(k - 3)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 10\/8 + 15\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 191 - 93 - 99 + 3*j. Let g(q) = 1 - 3*q + 0 - 2*q. What is 3*g(n) + 2*y(n)?\nAnswer: -3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-1\/3)*g*g*g*g*g*g**8)\/((g\/(g*g**(2\/21)*g))\/(g**(-5)*g)) assuming g is positive.\nAnswer: g**(247\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 95042 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 12\/3 + 0. Let b(m) = m**3 - 12*m**2 + 2*m - 9. Let q be b(12). Solve k*h - q = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11202133?\nAnswer: 17, 53, 12433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 + 91. Let l(h) = h + 6. Let x be l(-5). Is x at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2600 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 12*p + 28. Let c(d) = -d + 3. Let m be c(p). Find the third derivative of -2*t**5 + m*t**5 - 14*t**2 - 2*t**5 wrt t.\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 2739?\nAnswer: 71214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((((-2)\/15)\/(-2))\/(-1))\/((-662)\/(-1655))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 141. Is r at least as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*w + 405 - 181 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 + -92. What is the fourth smallest value in m, 1.9, 1\/2, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (35\/(-21))\/(4\/((-134328)\/2)). Suppose -i = -20*d + 15595. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -161 - 2620 = 217*b - 108 + 4922 for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17982 (base 12) in base 13?\nAnswer: -1276a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g - 62 = 0. Let p = 51 - -38. What is the remainder when p is divided by g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-1)*(-3)\/(-24)*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -39*t**3 + 122*t**2 - 15*t + 6. Let o be y(3). Sort -46, 0, -3, o in descending order.\nAnswer: o, 0, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 20. Suppose 2*f + s - 10 = 0, s + 1 = 3*f - 4. What is the remainder when g is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/(6\/8). Let y be r*((-4 - -3) + 3). Solve -x = -y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -4)*(-8)\/(-6). Suppose -4*k = 2*q - 4, 5*q - 6 = -5*k + 2*q. Solve -n = -k*d - d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (36\/15)\/((-3542)\/(-805))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30866 and 14030.\nAnswer: 154330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97061264 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 - 2*n - 4. Let q be d(4). Let w = q + 9. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 2*a + 3*a**2 - a)*(-14 + 3 - 2).\nAnswer: -13*a**2 + 39*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-165)\/950*1*(-4)\/(-72)*-10 and -131\/240?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23 + -19. Solve -r + 6 = 2*f, m*r + 3*f - 16 + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 0.197.\nAnswer: -0.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/315*(-10)\/(-4)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4053\/2825 - -22\/113. Calculate the common denominator of -67\/1910 and z.\nAnswer: 9550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18743 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246569.\nAnswer: 246569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 7*p + 2. Let i(h) = -h. Let l(m) = 6*i(m) + y(m). Calculate l(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -152, -177, -202, -227, -252?\nAnswer: -277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -404, -606, -808, -1010, -1212?\nAnswer: -1414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 528\/(-48) + -2 + 13. Sort a, 24, 1 in decreasing order.\nAnswer: 24, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 8 + (2 - 2 - 2)*(5 + 0 - 3))*(-3*b**3 + 8*b**3 + 20*b**3).\nAnswer: 25*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 8. Let z(h) = 7*h**2 + o*h**2 - 4*h**2 - 6. Let f(j) = -11*j**2 + 13. Let m = 513 - 519. Determine m*f(i) - 13*z(i).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 172*o - 168*o = 38, -3*o = 2*r - 34 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -2.99. Let v = k - -0.11. What is the biggest value in 1, v, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.4 + -0.4. Let k = d + -2. Let m = -1\/108 + -23\/108. Which is the closest to k? (a) 3\/7 (b) 4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 62\/5 and -46\/3173.\nAnswer: 15865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2. Let y(l) be the third derivative of -3*l**4\/4 - 11*l**2. What is t(y(f))?\nAnswer: -324*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/8, -2, -5\/3, -0.5, -1, 0.1.\nAnswer: -2, -5\/3, -1, -5\/8, -0.5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 40*i**2 - 49*i - 1042. What is d(38)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2*q + 3*q - 17, 5*q - 4*p - 30 = 0. Suppose -q*r + 2*j - 6 = -r, 4*r + 3*j = 20. Let l(d) = 25*d + 1. Is 17 a factor of l(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65255000 rounded to the nearest 1000000?\nAnswer: 65000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g - g + g)*(8*g - 2*g - 28*g) + 3*g**2 - 5*g**2 + 4*g**2 as p*g + v + a*g**2 and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 7*a**2 + 5*a + 7. Let w = -15 + 5. Let g = -4 - w. Give r(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 9*t**2 - 2*t + 3. Let b(v) = -v**3 + 10*v**2 + 2*v - 15. Let f be b(10). What is the remainder when z(f) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 20, 0 = -11*k + 6*k + r - 96. Which is the third biggest value? (a) 4 (b) 0.5 (c) 1 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/976 and 95\/1952?\nAnswer: 1952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1889, 3780, 5671, 7562, 9453, 11344?\nAnswer: 13235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -0.3 (c) -0.2 (d) 8\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -123403002 (base 5) to base 4\nAnswer: -2110012203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3078?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 4699*u**3 + 35*u**2 - 30*u - 6. What is the smallest common multiple of 108 and o(1)?\nAnswer: 9396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m + 25 = 7*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/8 - -7\/8. Let r = 40901 + -40903. Sort -0.01, r, x, 2 in ascending order.\nAnswer: r, x, -0.01, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (481\/481)\/(2\/(-22)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -760 greater than or equal to -753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -3, -3720, 2, -4 in ascending order.\nAnswer: -3720, -4, -3, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 139, 201, 247, 271, 267, 229, 151?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -316332235.8717 + 318568782.0616352. Let w = -2236547 + b. Let o = w + 0.81. Round o to 6 dps.\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t + 14*t - 4786 + 753 = 0. Solve 3 = -2*w + 3*n, -104*n - 25 = -t*n for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z + 12. Let i = 21 + -33. Let c be v(i). Let q(r) = -3*r**3 - r**2 - r + 1. Let j be q(1). Sort 1, c, j.\nAnswer: j, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-7))\/2 + (-1204)\/(-98). What is the highest common divisor of u and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 2\/9, 5\/2, 0.76, -103\/2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1070*s**2 + 3*s + 164 wrt s?\nAnswer: 2140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2826889083.\nAnswer: 3, 23, 3089, 4421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = u - 4*g, 1 = 5*u - 4*g - 6. Suppose -u*j + 1055 = 2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010101101100000 (base 2) in base 12?\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2055728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22107488687 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1216227477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1052?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -2*m + 2*w + 1333, 535 = 2*m + w. List the prime factors of m.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 9) to base 6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/5 + (-117)\/(-195). Suppose -a - 14 = -4*g + a, m = 3*a. Sort -1, -23, 1, g in ascending order.\nAnswer: -23, -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 1. Let i(a) = -a + 25. Let h(z) = i(z) - 5*u(z). Calculate h(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 93 + -93. Suppose -b + 3*x - 10 + 38 = c, b + 4*x - 7 = 0. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6 - (-2 + -8)) + (-1)\/4. Let m be ((-148)\/(-40) + 0)\/((-30)\/(-75)). Suppose m*n**2 + 9\/4*n**4 - 33\/4*n**3 + 1\/2 - s*n = 0. Calculate n.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 31. Let l = 6 - p. Let g(j) = -j**2 - 2*j + 1. Give g(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3 + 2 = 0. Let g = 0 - c. Let v be 8\/6 + ((-56)\/6 - -5). Put g, v, -5 in ascending order.\nAnswer: -5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 291 divided by -291.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 31.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 14*f + 12. Let z be c(15). Let y be (4\/10)\/(z\/(-210)). Let m = y + -16. Solve -2*u = -6*u - 16, -2*a - m = 2*u for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 69 + -482\/7. Let i = -0.06 + 0.46. Let v = 0.3 - i. Which is the nearest to 2\/5? (a) -1 (b) d (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + -4. Let l be (0 - (-4)\/(-8))\/(-1)*-2. Which is the second biggest value? (a) l (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2510 (base 6) to base 8\nAnswer: -1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62496 and 171120.\nAnswer: 7187040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-39) - 134\/(-26). Suppose 210 = q*b - 140. Calculate the greatest common factor of 14 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 4*c**2 - 3*c + 4. Let z be j(-5). Let h be ((-4)\/(-4))\/(3\/12). What is the greatest common divisor of h and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11960 by -65.\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11, 15, 29, 59, 111?\n\"Answer: t**3 - t**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**2 + 11. Determine q(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 11:44 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -195 - -180. Sort 2\/5, 2\/13, r, -1\/7 in decreasing order.\nAnswer: 2\/5, 2\/13, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k. Let v(l) = -4*l. Suppose 45 = -4*g + 61. Calculate g*z(y) - 4*v(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91680 and 480.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -8, -0.6, -5, 42?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32\/385 + 34777\/6160. Let k(u) = 2551*u**2 - u. Let d be k(-1). Let n = 10265\/4 - d. Calculate the common denominator of n and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -67628733*g**2*k - 356*g*k + 3*g - 12396 wrt g.\nAnswer: -135257466*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31665?\nAnswer: 3, 5, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*w + 12 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64, -84, -92, -82, -48, 16?\n\"Answer: v**3 - 27*v - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32566 times -1\nAnswer: 32566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v + 1092*v**3 - 1096*v**3 + 10*v in the form z*v**3 + d*v**2 + b + g*v and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.3, -0.1, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 5*g**2 - 2*g + 13. Let c be d(-4). Put 4, 3, c in decreasing order.\nAnswer: c, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*v + 29. Find the third derivative of -v*w**4 - 6 + 5*w**2 - 9*w**4 + 6 wrt w.\nAnswer: -408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 1220?\nAnswer: 1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 + 20*w - 472. What are the prime factors of v(-20)?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22574, -26, 4, 0, -2, 3, -5 in descending order.\nAnswer: 22574, 4, 3, 0, -2, -5, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - x + 3*x + (3 + 2 - 4)*(3*x + x + 0*x) - 4*x + 5*x + 2*x as s + l*x and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 113*j**2 - 377*j - 6418. Calculate b(109).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1180*l**4 + 135*l**3 - 33*l**2 - 41671076*l wrt l.\nAnswer: -14160*l**2 + 810*l - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3877 and 146?\nAnswer: 566042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84 and 4425945?\nAnswer: 123926460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -5, 2\/599, 3, -4, 0.1 in descending order.\nAnswer: 3, 0.1, 2\/599, -0.5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, u: 4, v: 2, x: 1}. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:45 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211122211 + 10011?\nAnswer: 211202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1374134?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/30*(-7)\/(1029\/42).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 177284479 to the power of 1\/2, to the nearest integer?\nAnswer: 13315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 98401692703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 9:11 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1892971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 615*g**3 + 680*g - 1220*g**3 + 125*g**2 + 610*g**3.\nAnswer: 5*g*(g + 8)*(g + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + 1 + sqrt(99) + -2)**2*1 - ((1*-2*sqrt(99))**2 + ((2*sqrt(99))**2 - sqrt(99))*-4))*1*2.\nAnswer: -48*sqrt(11) + 3170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 m when three letters picked without replacement from jsmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k + 1. Let y(z) = -z**2 - 4*z - 3. Suppose 4 + 0 = -2*h. Let q be y(h). Suppose 4*f = u - q, 0 = -5*f - 3*u - 0*u - 14. Give a(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1291*w**3*x**3 + 66765*w**3*x**2 + 347*w*x**3 - 6*w*x**2 - 5*w*x + 21*x**3 - 10*x**2 - x wrt w.\nAnswer: -7746*w*x**3 + 400590*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3196*i + 3214*i + 736 = 70 for i.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 8 - 4 - 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 20*y**2 - 10*y - 11. Let m(t) = 4*t**2 - 2*t - 2. What is -2*f(x) + 11*m(x)?\nAnswer: 4*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1399529 times 6.6?\nAnswer: 0.92368914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1019525 + -1469525. Round m to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -4*w - 88. Let x(j) = -j**3 - 3*j**2 - 4*j - 15. Calculate the remainder when w is divided by x(-4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 9 - (4 + -1 - (5 + -2))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 - 1270*s**2\/3 - 35168*s\/3 - 735784\/9.\nAnswer: -2*(s + 14)**2*(s + 1877)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 7 = 5*l - 15 + 11, 4*v + 19 = 5*l for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = -3*s + 2*s + 5*s - 224, -5*u + 5*s + 27 = 322 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of l**5\/40 - l**4\/6 + 5*l**3\/3 + 15*l**2. Let j(d) be the first derivative of m(d). Let c = 568 + -565. Calculate j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -u + 59, t - 5*u - 28 = 0. Suppose 5*y = -4*i + 91, 2*y + 10 = -0*y. What is the remainder when i is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0380744226 rounded to three decimal places?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-2)*(-16)\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3482, 0, -5, -4 in ascending order.\nAnswer: -3482, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (184\/(-2))\/((-584)\/1460). What is the highest common divisor of g and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700 is divided by (-26)\/(-3)*(16 - (-464)\/(-32)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 139535*h. Let x(g) = -30*g. What is x(k(f))?\nAnswer: -4186050*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.12? (a) -0.2 (b) -329 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 384.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 6 (b) 5 (c) 1 (d) 605 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -2 (c) -1\/4 (d) 2\/15 (e) -26 (f) 56 (g) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 1 = -5*c, 8*c - 4*c + 2*f + 2 = 0. Let u(k) = -k - 10. Let p be u(-9). Calculate the least common multiple of (c - p)*(4 - 0) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11966 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 8:11 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 106 and -2\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81\/170 + 2\/85. Which is the biggest value? (a) o (b) -1\/15 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 498 (b) -0.2 (c) 16\/7 (d) 0.3248\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a meter in millimeters?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 4*t - 3. Let r be f(-4). Let y(w) = -w**3 - 3*w**2 - w. Let d be y(r). Suppose 0 = 5*z - 2*o - 85, o - 40 = -2*z + d*o. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/3*13\/(78\/24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 73*k**2 - 3*k + 2. Does 50 divide z(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214 - 213. Let m = 891.03 + -887. Let s = 0.03 - m. Put 0.4, g, s in increasing order.\nAnswer: s, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 3*z - 12. Suppose -1651*b = -1655*b - 2212. Let k = 559 + b. Determine l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 14, -5 in decreasing order.\nAnswer: 14, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33.67 and 4.\nAnswer: -29.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 850 and 850 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p**4 + 15*p**4 - 16*p**4 + (-3*p + 0*p + p)*(p**3 - 3 + 3) - 2*p**4 + p**4 - p**4.\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b - 14*b - 582 = 0. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 797\/5 - 159. Factor 2\/5*h**2 - 2\/5*h + p*h**3 - 2\/5.\nAnswer: 2*(h - 1)*(h + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6794 >= 20378\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -96*h**3 - 5*h**2 - h - 1. Let s(g) = 94*g**3 + 4*g**2 + g + 1. Give 2*d(r) + 3*s(r).\nAnswer: 90*r**3 + 2*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37104?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 7, g: 1, e: 4, f: 2}. What is prob of sequence ffbe?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 12 = s. What is the greatest common factor of 8 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.301516 meters to kilometers.\nAnswer: 0.003301516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**14*t)\/((t*t**(3\/25)\/t*t*t*t)\/t))**(-16) assuming t is positive.\nAnswer: t**(-5152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k - 6 = -18*k - 2*q, 7*k = 5*q - 42 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259759.\nAnswer: 67, 3877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -345 times 25.8094\nAnswer: -8904.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 2\/65, 1\/4, 42, 0.5?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2019, 4037, 6055, 8073?\nAnswer: 10091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-26728)\/(-260) - (-33)\/15. Solve -r*x + 63 = -96*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 60, 121, 182, 243, 304?\n\"Answer: 61*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5743824?\nAnswer: 2, 3, 17, 7039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 3378?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 41*g - 23 = -35*g, 0 = 3*w + 3*g + 24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 212460 by 1.\nAnswer: 212460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from {j: 2, n: 6, t: 4}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 26.6. Let r = z - -0.1. Round r to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8.2 + 8. Suppose 7*b - 2*b - 15 = 0. What is the closest to u in b, -0.3, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + -1 - (3 + -6). What is the least common multiple of (8\/2)\/(-1 + t) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 + -15. Let v = -0.4 - 1.6. Let m = v - f. What is the second biggest value in -2\/7, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (616\/16)\/11*-2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/5, 242, -6, -2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2918, 2920, 2922, 2924, 2926?\nAnswer: 2928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -314*b**2 + 2 - 4 + 89*b**2 to the form n + u*b + s*b**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -920\/11 (b) 3\/8 (c) -3 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.18, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4 - 4*b**2 + 4*b + 0*b**2 + 5 + 5*b**2. Let s be -2 + (-1)\/(2\/4). Determine z(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a*j*r**2*x - 13*a*r**2*x - 9*j*r**2 + j*r + 2*j*x - 2*r**2 wrt a.\nAnswer: 3*j*r**2*x - 13*r**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**5 + 1190*t**4 - 8160*t**3 + 17390*t**2 - 15035*t + 4620 = 0.\nAnswer: 1, 4, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42*f**2*q**2 - f**2*q + 45*f*q wrt q?\nAnswer: -84*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + 3 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/11 - 10*q**3\/11 + 18*q**2\/11 - 14*q\/11 + 4\/11.\nAnswer: 2*(q - 2)*(q - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 83, 104 in ascending order.\nAnswer: -11, 83, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(-10))\/((p\/p**1)\/p))\/(p**3\/(p\/p**(-3\/2))))**49 assuming p is positive.\nAnswer: p**(1127\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 32296 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a century in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6392 is divided by 73.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 11 - 9)*(9*l + 25 - 25)*(-3*l**2 + 3*l**2 - 3*l**2 + (l**2 - 3*l**2 - l**2)*(-3 + 3 + 1)).\nAnswer: 540*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 4*z - 5. Let n be ((-45)\/6)\/(12\/(-8)). Let c(t) = -t + 1. Give n*c(q) + i(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.3 in 2, 1\/5, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 + (0 - 0 - -1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2052 and 6673842?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 9*r**2 - 8*r + 9. Let m(j) = j**3 + 9*j**2 - 8. Let p be m(-9). Is 9 a factor of i(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1318 - 1520) + 141 + -8\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 743 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = -4*z - 7, -5*z + 5 = 0. Let q be h\/4*(2 + 648). What is q rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1108*s - 1116*s + 37*s**2 + 2210*s - 7*s**2 in the form k + o*s**2 + n*s and give n.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/26 and 49\/286.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 17 = -3*v, 3*w - 2*v - 11 = -v. Suppose 5*n + 16 + 6 = -q, 2*q - w*n + 30 = 0. Sort q, 0, 3.\nAnswer: q, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 6*b**2 - 5*b - 7. Let p(u) = -7*u**2 + 6*u + 8. Let w be (-1)\/(-2)*0 - -5. Suppose -6*x - 83 = 79. Let g = -21 - x. Calculate g*s(d) + w*p(d).\nAnswer: d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4 = -12. Does 6 divide (-2 - (-44)\/w)\/((-3)\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -24\/7*g + 13\/7*g**2 - 124 - 1\/14*g**4 + 0*g**3. Factor k(c).\nAnswer: -2*(c - 3)*(c - 1)*(c + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-24)*2*(-49)\/49?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11892.2 - -11892. What is the nearest to 0.1 in 1, g, 11, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3620713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (74\/4 - 2) + (-5)\/(-10). Suppose t*h - 6 = 15*h. Suppose l + 1\/4*l**4 + 1\/4 + l**h + 3\/2*l**2 = 0. What is l?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -1\/3, -3, -2\/5, 1, -503, 0.073?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 + -5. Let o = n + 4. Is 8 - -1 - (-1 + o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -11*v**5\/20 - 2*v**4\/3 + 13*v. What is the third derivative of d(x) wrt x?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59194 - -476149\/8. Let q = 326 - k. Find the common denominator of 52\/3 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1 - 0.6. Let o = -4.5 + j. Sort -5, -0.5, o in ascending order.\nAnswer: -5, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, p: 6, d: 1, f: 3, o: 5}. What is prob of picking 1 f and 3 o?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11*o. Let l(y) = 4*y. Calculate 4*c(n) - 14*l(n).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15304785 and -0.2.\nAnswer: 3060957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 5:19 AM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 + 2*x**2 + 4*x**2. Let v be -1*(2 - 3)*-2. Let u(o) = -7*o. Let j(c) = -6*c. Let g(l) = v*u(l) + 3*j(l). Calculate g(d(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/10 (b) -6\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 480*j + 753134 - 103026 = -11053*j - 203334 for j.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {f: 11, v: 9}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + h - 4*h)*(h - 2*h**4 - h) + (2*h + 2*h - 6*h + (0 + 1 - 3)*(4 - 4 + h) + 1 - 1 - h)*(2*h**2 + 21*h - 21*h)*(-63*h**2 - 104*h + 104*h).\nAnswer: 628*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.05384486 to 3 decimal places.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 7*v**2 - 9*v + 6. Let b be i(7). Suppose -f - 21 - 15 = 0. Let n = f - b. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 180\/(-405)*6\/(-4). Let u be (-2)\/(-7) - (-54)\/(-140). What is the closest to 0 in w, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1284993 and 5427?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 31\/23 + -518\/299. Is 1 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of -1\/6*q**3 - 3\/2*q**2 + 0 - q. What is the derivative of v(w) wrt w?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -3.13.\nAnswer: -9.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2 + s + 1. Let o(n) = 2*n**2 + 3*n + 3. Let p be (-8)\/5 + 78\/130. Give p*o(c) + 4*r(c).\nAnswer: 2*c**2 + c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*v. Let g be (3\/2)\/((-90)\/840). Let s = v - g. Calculate the remainder when s is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2335 = -14*x + 2391. Solve -4*a + 8*a = -3*w - 6, -x*a = -5*w + 22 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 0.3 (c) -4 (d) 2\/17 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r + 3. Let w be 1*6\/r - 1. Let t(a) = -a**2 - 3*a - 2. Let v be t(-2). Which is smaller: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4465935806?\nAnswer: 2, 23, 89, 1090849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7513 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-19.6.\nAnswer: 5.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 176836, 353664, 530492, 707320, 884148?\n\"Answer: 176828*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192) + -2*sqrt(192) - sqrt(192)) + -2 + -1*(-1 + sqrt(243) - sqrt(243)))**2.\nAnswer: 32*sqrt(3) + 769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -68*n + 67*n + 10. Let f be 2*4 + (0 - n) + 6. Solve o + h + 9 - 3 = 0, -f*h - 19 = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2\/6 + 13*r\/6 - 4\/3.\nAnswer: -(r - 1)*(5*r - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-210)\/(-90))\/(5180\/(-40))?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1826, 7386, 16682, 29714, 46482, 66986, 91226?\n\"Answer: 1868*x**2 - 44*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 472.2 - 450.2. What is the nearest to 3 in w, -4, 2\/11, -4\/9?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2032 + 89 = 122*o + 9772 + 4183 for o.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 884 and 51935?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - 1 - 55*1. Let z be (u\/4)\/(1\/(-2)). Let c = z + -8. Does 13 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -16*d + 13. Let n be v(3). Let a be -13803 - n\/(-14)*12\/(-10). 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 -15*u - 131 = 29*u + 925 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 (base 14) in base 13?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1. Let o(z) = -2*z - 10. Let d(c) = -10*l(c) - o(c). What is d(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-385)\/(-154)*(1 + 2\/(-4))*-4. Let s(d) = 4*d**2 + 20*d - 4. What is s(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*x + 43*x - 1080 + 1080.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 5:09 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 616953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j**2 + 2 - 2)*(j**3 - 3*j**2 + 3*j**2) - 24*j**5 - 24*j**5 + 47*j**5 + (5 - 5 + 2*j)*(2*j**4 + 9*j**4 - 6*j**4).\nAnswer: 8*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*z + 51 - 161. Let j be (-11)\/(-30) - (z\/5 + -2). Factor -1\/6*r + 0 + j*r**2.\nAnswer: r*(r - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c**2 + 1320*c - 1323 = 0.\nAnswer: -441, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**2 + 16*r + 82. Let a be ((-8)\/10)\/(6*(-6)\/(-180)). Let l = 15 - 11. Calculate the smallest common multiple of l and j(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, 49, -5, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x - 192 = 0. Let g be (x\/(-14))\/((-2)\/28). Suppose -5*n = -n - g. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*n**2 - h*n + 3*h - 3418*n**2 - 232*n - 405793 wrt n?\nAnswer: -4*h*n - h - 6836*n - 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i**2 - 7*i - 2. Let f(w) = 52*w**2 + 25*w + 7. Let x(n) = 2*f(n) + 7*u(n). Let j(y) = -5*y**2 + 4*y - 2. Calculate j(l) - 3*x(l).\nAnswer: -2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 + -7)*(-2 + 1). Suppose -h - h + 6 = 0. Let u(b) = -j*b + h + 3*b - 4. Determine u(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(2\/5)*t)\/t)**(2\/23) assuming t is positive.\nAnswer: t**(14\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -45, -67, -103, -153?\n\"Answer: -7*c**2 - c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-10))\/((-5)\/150). Let n = f + 13. Let p(c) = -8*c**2 - 2*c + 1. Calculate p(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 98071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11440 - 210?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11792441?\nAnswer: 17, 47, 14759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -11*h**4\/12 + 10*h**3\/3 - h**2\/2 + 8*h + 4. Let i be a(2). Which is bigger: i or -19\/4?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 4)*(0 + 0 + r) + 2991*r + 1393*r + 3275*r as z*r + u and give z.\nAnswer: 7658","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*v**2\/7 - 4434236*v - 12415864\/7.\nAnswer: 4*(v - 1551983)*(5*v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raaeaaeaaaeeeneerhe. Give prob of picking 1 n and 3 a.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.103, 31, -3\/83?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1008)\/945 + 2\/3.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 + 13*w**2 - 13*w + 30. Let t = -17 - -29. Let n be p(t). Let q(i) = 2*i**2 - 37*i + 24. Calculate the lowest common multiple of 2 and q(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 29 = -4*h - h, 0 = -5*i - 4*h. Calculate the remainder when i is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxccxcxc. Give prob of sequence cx.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*c + 3*c + 154 = 0. Let y = -11 - -19. What is the remainder when c is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70142 is divided by 81?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3452 (base 16) to base 5.\nAnswer: -412034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78360 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffkfffflc. Give prob of sequence flk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 1. Suppose -c + 37 = 4*p, -p = -5*c - 1 - 24. Let w = x + p. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0094273862 to 4 dps.\nAnswer: -0.0094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(264) - (sqrt(264) + (-2*sqrt(264) - sqrt(264))))\/sqrt(8))\/(sqrt(99)\/(sqrt(18)\/sqrt(2))) + 5.\nAnswer: 5 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -58*g**4 - 15*g**3 + 1619*g**2 - 8581*g - 267?\nAnswer: -696*g**2 - 90*g + 3238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -f + 8, v = -5*f + 601 - 581. Solve 1 = -n + y - 0*y, 0 = -f*n + y + 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -n - 10 - 2, 3 = 3*n + 4*s. Let b be (n - -1)\/(2\/(-12)). Let c = 4 + 0. Solve -c*g = -8*g + b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9258152 and 3056.\nAnswer: 1528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000 - 10101?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1166984 and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*b**2*g + b**2 + b*g - 2*b wrt b.\nAnswer: -6*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 - 3*d**2 - 4*d**2.\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258418.\nAnswer: 2, 129209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 31.1. Let y = -15.4 - p. Let c = y - -5. What is c rounded to zero dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 136806, 136864, 137030, 137358, 137902?\nAnswer: 138716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 2 + 2 - (-7 + 1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/(7\/(-42)). Let p be 4 + (0 - (3 + f)). Factor -22*r + r**4 + 11*r**4 + 92*r**p - 42*r + 160*r**2.\nAnswer: 4*r*(r + 4)**2*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4288*a + 184 = -4300*a, -2*x + 3*a + 56 = 0. Let u(t) = t + 4. Let s be u(6). Solve x*j - s = -60 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 11:20 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**4\/6 - x**2. Let a(r) = -r + 9*r - 12*r - r. Calculate a(w(b)).\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -54*g + 2. Let p be u(5). Let d = p - -5630\/21. Let x be ((-1)\/2)\/(-9*(-32)\/(-144)). Which is the nearest to 0? (a) x (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -k - 130. Let g(n) = -n + 119. Is g(k) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64148153?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882\/(-1911) + (-5 - (-12880)\/(-260)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t**3 - 2*t**2 - 2*t - 1. Let r be o(-1). Solve -2*h - 5 = -r*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, f: 4, q: 3, c: 7}. Give prob of sequence ccc.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5854855 millilitres to litres.\nAnswer: 0.0005854855","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 u when three letters picked without replacement from vvmyu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 12*x + 16. Let u be t(13). Let q(y) be the first derivative of -3 + 4*y + 5\/2*y**2 - 2\/3*y**u. What is q(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -142.\nAnswer: -141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1586819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 1, 5\/3, 1\/376, -3, 3\/7, 200.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10) + (-4464)\/60 - -1. Let l = o - -73. Factor 1\/6*s**2 - 1\/2*s**3 + 1\/2*s**4 - 1\/6*s**5 + 0 + l*s.\nAnswer: -s**2*(s - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(210)*5)\/sqrt(7))\/(3*(sqrt(150) - (sqrt(150)*-1 + sqrt(150)))))**2.\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -208*s + 187*s - s**3 - 11*s**2 - 5 + 0*s**3 - 16. Let w be k(-9). Let n = 1 - -1. Calculate the highest common factor of w and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 569 + -569.5. Put -9, -11, k in descending order.\nAnswer: k, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/490284 and 101\/444.\nAnswer: 18140508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 5*o**7\/231 - o**6\/66 + o**5\/330 - 6*o**2. Suppose i(m) = 0. What is m?\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (0 + -2)) + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 12941 and 12916 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/9410559?\nAnswer: -1\/9410559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(4\/3)\/y)*y**(-3))**(-3\/5)\/((y**(2\/5)\/y)**42\/(y\/y**(1\/4)*y**(-2))) assuming y is positive.\nAnswer: y**(507\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(847)*4*3 + 3*(1 + sqrt(847)) + 4 + -5 + -2)**2.\nAnswer: 190575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 60576822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 16. What is the smallest value in 1\/3, -3\/5, p?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/51184 and 29\/51184.\nAnswer: 51184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 412 = 4*l, -g = 5*l - 2*l - 93. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -1) + (0 - -2) - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82315, 164632, 246951, 329272, 411595?\nAnswer: 493920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1801 - 241 = -665*p + 725*p for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0 - 10. Suppose s*f = 372 + 263. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -654 * -1153\nAnswer: 754062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/18*-3)\/((-2)\/24).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20333563 + 28783563. What is z rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -2035.3526251\nAnswer: 2026.3526251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2262 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(h*(h*h**(-12\/7))\/h)\/h)**(-2\/61))**(-2\/11) assuming h is positive.\nAnswer: h**(-20\/4697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7189769\/110 + -65362. Calculate the common denominator of n and -87\/8.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -22686\nAnswer: -22686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let i(w) = 351*w**3 - 6*w**2. Determine i(s) - 5*q(s).\nAnswer: 351*s**3 - s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*z - 12*z + 919 = -361 for z.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 4*x**2 + x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 10, 2164 in decreasing order.\nAnswer: 2164, 34, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -4*10\/780*-3\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*20\/(-16)*(-4)\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 5*s**2 + 5*s - 3. Let n(z) = -z + 4. Let k(u) = 5*u - 23. Let l(b) = -k(b) - 6*n(b). Give -3*l(c) + o(c).\nAnswer: 5*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (20\/10)\/((-2)\/(-69)). Sort s, 1, -4 in ascending order.\nAnswer: -4, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22929737\/58666104 + 5\/232802. Let h = i - -3\/56. Factor 2\/9*n - 2\/9*n**2 + h.\nAnswer: -2*(n - 2)*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, y: 7}. Give prob of sequence yyn.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**4 + 7*i**3 + 7*i - 6. Let d(g) = -g**4 - 2*g**3 - 2*g + 2. Let f(q) = -21*d(q) - 6*z(q). Differentiate f(p) with respect to p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -97.95 and 22.46.\nAnswer: -2199.957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-635)\/(-35) + (-56 - 1216\/(-32))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a millennium in months?\nAnswer: 21000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1275 - -2?\nAnswer: -1273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 443.7531mm?\nAnswer: 0.0004437531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-492)\/(-41)*(-70)\/(-120). Let d be -3 + 2 + 0 + 26. Solve 2*i - g = -4*o + 5*i, 3*i = -4*o + d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 14 - 39 = 0. Suppose 2*b = 5*q - 13, q - 5*b = -0*b - 2. Solve 4*y + 3*m = 14, 5 = -y + s*m - q for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 10. Let p = 16.37 + -16.48. What is the smallest value in p, -2, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4 = 0, -p + 4*b = -4*p - 424. Let g be 2\/9 - (-279360032)\/p. What is g rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*y + 24 = y, -4 = -3*t - 4*y. Sort t, 0, -3 in descending order.\nAnswer: t, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*r + 2*r + 3*r)*(-976*r + 2345*r + 857*r + 4010*r - 966*r) as g*r**2 + x*r + z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from tgtgg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 + 88.4. Let f = q - -8.6. Let u be (1 + 18\/(-16))*-6. Which is the smallest value? (a) 0.4 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -39. Suppose 2*a = 2*d + 10, 4 = v*a + 5*d + 13. Solve 3*g - 9 = -3*s, 0 = -5*g + a*s - 0*s + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1009*s**6*u + 588*s**2 - 2*s*u wrt s?\nAnswer: -121080*s**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-60) - (-53)\/4. Let w = f + -12. Factor -5*l**w + 4*l**2 - 5*l**2 + 10*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 29*m - 258. Let y be g(9). Let o(w) = -w**2 + w. Calculate o(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30194.791859 take away -0.4?\nAnswer: -30194.391859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -525 = 2*i - 23*i. Suppose 3*w + 0*w + 21 = 3*d, -3*w - d - 1 = 0. Let h be (-1 + 7)\/((-3)\/w). Solve o = -h*o + i for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, z: 4, b: 3, o: 1, d: 1}. What is prob of picking 2 j and 1 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5542 + 44435\/8. Calculate the common denominator of u and -125\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 15*p - 85. Let r(s) = s**2 + 11*s + 18. Let y be r(-8). Let b(k) = -k + 6. Give y*x(a) - 85*b(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10, -21, -44, -85, -150, -245, -376, -549?\n\"Answer: -j**3 - 4*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b**3 - 4*b**2 + 3*b - 5. Let q = 550 + -546. Let a(f) = 5*f**3 + 5*f**2 - 4*f + 6. Give q*h(g) + 3*a(g).\nAnswer: -g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 17\/6, 6\/5, 0.7, 0.06.\nAnswer: 0.06, 0.3, 0.7, 6\/5, 17\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 41 - 19. Suppose -3*t - 45 = -4*q, 2*q + 3*t = 3*q - 9. What is the remainder when b is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9852?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d + 0*d - 2*d)*((-1 + 0 + 3)*(0 - 2 + 4) - 1 + 4 - 12)*(4 + 7 + 1) to j*d + b and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112590617 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261440919*f**2 - 18144*f - 1045 wrt f?\nAnswer: -522881838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/360*(-12)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/16596892 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 75 - 90.5. Round p to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 359994*j + 359996*j = -55, -4*x - 108 = 4*j for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6224566*z + 6224571*z + 0 + 0 - 6. Let t(u) = 14*u**2 - 2*u. Determine t(g(b)).\nAnswer: 350*b**2 - 850*b + 516","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*o + 226*o - 2313. Which is the nearest to -2? (a) 0.5 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70.61908166 + -70.62. Round m to 5 decimal places.\nAnswer: -0.00092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*g = -381 + 91. Let k = 8 + -4. What is the remainder when k is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 11\/(3542\/(-973)) + -13?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/12*(1 + 1\/(-2)). Is w at most 0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0 + 1\/2*f**2 + 3*f - 5\/6*f**3. Give w(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Suppose -z + 5*t = -3, 3*z + w*t + 2*t = 9. Solve z*b = -4 - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 57) + 30 + (0 - (1 - 4)) + -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60026 + 111577. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -10. Let g = -0.4 - 2.6. Let i = g + 1. Which is the biggest value? (a) x (b) i (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -416 - -3238?\nAnswer: 2722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*g - 372 = 0, -8*g + 12*g = -2*u + 738. Calculate the greatest common divisor of u and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 50*g - 51*g. Suppose -u = 2*o - 12, g*o - o = -3*u + 11. Factor 3\/4 - 3\/2*s + 3\/4*s**u.\nAnswer: 3*(s - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 + 24.04. Let c = a - -4.96. Sort 2, -2\/17, c.\nAnswer: -2\/17, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 9:53 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 6*w - 27. Let d be m(-15). Calculate the highest common factor of d and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/6*2*91. Let v = s - -129. Let x = -25 + v. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 + 1)*(6 - (-24)\/(-18)) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2641*m**2 + 6*m + 1749. Let n(r) = 6*r**2 + 2*r - 2. Let b(c) = 3*n(c) - x(c). What is the derivative of b(g) wrt g?\nAnswer: 5318*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1209?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 49652?\nAnswer: -19860.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5981980 + 5981988.099939. Let h = l - 8.1. What is h rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 4) + -4 + -3 + 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)\/(sqrt(144)\/(sqrt(60)\/sqrt(5))))\/((sqrt(33)*1*4)\/sqrt(3)))**2 + 3.\nAnswer: 51\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 b, and 1 g when three letters picked without replacement from {k: 2, b: 1, c: 1, i: 1, g: 1, w: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 36 = -30. Solve -n - j = -0*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17633 - 86217 = -8*n. What are the prime factors of n?\nAnswer: 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 39*z = -103*z + 1809180. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*d. Suppose -3*b + 307 - 109 = d. Let l = 96 - b. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28334 - -28336. Let z(g) = -g**2 + 6*g - 1. Calculate the lowest common multiple of z(5) and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 849, 1696, 2543, 3390, 4237, 5084?\nAnswer: 5931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 12164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 5*j**4 - 4*j**4 + (-427*j**4 + 901*j**4 - 364*j**4)*(-4 + 2 + 1) - j**3 - 2*j**4 + j**3.\nAnswer: -113*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) 3218 (c) 0 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 19*i**2 - 17*i - 37. Determine z(-18).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*k - 680, -2*v = -3*v - 4*k + 170. Let d be -2*((-24)\/v - -1). Let y = d - 1351\/510. What is the common denominator of -28\/33 and y?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -124 - -130. What is the highest common factor of 5 and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of 0 - 8*p**2 - 2\/3*p**3 + 2\/3*p**4 + 0*p. Find the first derivative of t(m) wrt m.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (31 + 20)) + 43 - (97 + 2).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*sqrt(11) - sqrt(99)\/(-4*sqrt(9)).\nAnswer: 41*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**4 - 4904*t**3 + 396368*t**2 + 4904*t - 396372 = 0. Calculate t.\nAnswer: -1, 1, 87, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3508 + 4916. Let x = -995 + p. What are the prime factors of x?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 10*u**2 + 9 + 0*u - u + 8*u + 3*u. Let r be p(-9). Let w(k) = 1 - 2 + r - 5*k**2. What is w(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + 1 + 1 - (570 - 610)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -8*q**3 + 46*q**2 + 150*q + 162. Let z(d) = 5*d**3 - 23*d**2 - 74*d - 82. Let r(a) = 3*f(a) + 5*z(a). Factor r(m).\nAnswer: (m + 2)**2*(m + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4 + 60*p**3 - 105*p**2 + 50*p = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2*1*sqrt(80))**2 + 6*(1 + sqrt(80) + 3))*-2.\nAnswer: -48*sqrt(5) + 592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -5 (b) -3\/10 (c) -8.6 (d) -0.0137 (e) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84443647 + 0.2.\nAnswer: 84443647.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m - 2. Let b be 3 - -3*11\/(-3). Let z = 7 + -2. Let x = b + z. Give c(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 2*r**3 + 8*r**2 + 9*r + 78. What is p(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 27*o**2 + 18*o + 12. Let h(i) = -2*i**3 + 36*i**2 - 35*i + 10. Let w be h(17). What are the prime factors of r(w)?\nAnswer: 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**4 - 92*c + 180*c + 2*c**4 - 5*c**3 - 89*c - 4*c**4 - 8 - c**2 to w*c**4 + t*c**3 + f*c + v + q*c**2 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (26\/(-39))\/((-2)\/3). Let o be (0 - 3\/21)*g. Which is smaller: o or 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -27 + (119 - 44 - -33).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*y**3 + 6369 - 6368 - 71*y**3 + (-y + 3 - 3)*(y**2 - 3 + 3) as n*y + p + s*y**3 + i*y**2 and give s.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(210)*2)\/sqrt(7))\/(sqrt(36)\/sqrt(6)*-6*-6).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 298 + 7*a - 75 + 6*a - 109 - 40. Give b(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/10780 and 89\/2379146?\nAnswer: 23791460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**8*r\/(r\/((r\/r**(1\/3))\/r))*(((r\/r**(-5\/4))\/r)\/r)\/((r*r**10*r*r)\/r))**(2\/11) assuming r is positive.\nAnswer: r**(-49\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.5 + 1.5. Let f = 2 + n. Let u(j) = j**3 + 7*j**2 + 6*j. Let i be u(-6). Which is the third smallest value? (a) -0.5 (b) f (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10988 and 2296?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1948 and 0.3.\nAnswer: 0.05844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 13\/4 of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:35 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12490440 - 346245.\nAnswer: -12836685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -40.9 and -57.\nAnswer: -97.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 3. Let n = -4312 - -21558\/5. Let u(c) = c - 4. Let r be u(7). What is the second biggest value in n, s, -1, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v + 2. Let b(y) = 4*y**2 + y - 864. Give b(d) - 2*i(d).\nAnswer: 2*d**2 - d - 868","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 9604 - 9604 + 66*d in the form j*d + r and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 >= 13245?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1 + -1)*-248)\/((-19)\/(-6) + -3). What is the greatest common factor of 279 and y?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 5*f**2 - 4*f - 1. Suppose -2*d = 10, 4*o + 81 = 14*d - 11*d. Suppose 4*i = -5*i + 189. Let z = i + o. Give y(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4741?\nAnswer: 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*l**2 - 2148*l = 0. Calculate l.\nAnswer: -716, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.2, -0.3, -2\/7, 2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/8)\/f))\/(f*f\/f**(-1))*(f**(1\/2)*f)\/(f\/(f*f*f\/f**(-2)))*(f\/f**(3\/7)*f)\/((f\/(f\/((f*f*f**6)\/f)))\/f)*(f**0\/f)**(-50) assuming f is positive.\nAnswer: f**(2811\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.5167 + 0.0467. Let j = -2.57 - g. Which is bigger: 11.6 or j?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 60*n**2 - 2*n - 15. Determine v(60).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -54, -1\/5, -2\/17, -3\/35?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 281 = 4*o, -7*o + 4*m + 260 = -3*o. Suppose 8*z - o = -4. Let c = 49 - 17. What is the highest common divisor of c and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g + 112. What is the lowest common multiple of l(18) and 196?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -695 + 962. Calculate the highest common divisor of f and 178.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 0 - 1)*(31*f - 11*f + f) + f - f + 5*f - f - 2 + 2 to the form l + p*f and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5\/7 + 31127*o**4\/7 - 31126*o**3\/7.\nAnswer: -o**3*(o - 31126)*(o - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 0*q + 2*q)*(-75*q**3 - 72*q**3 + 162*q**3) to o + z*q + s*q**3 + f*q**4 + d*q**2 and give f.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 4*x**2 + 2*x - 2. Let l be v(-2). Suppose -l*s + 3*s = 2*c - 8, -5*c + 20 = 3*s. Suppose 5*d + 15 = c*k, -k + 0*k + 7 = 2*d. Is 0 >= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19239296 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240570 divided by -3645.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o**5 + 72514*o**4 + 219155428*o**3 + 365105976*o**2 + 146023056*o = 0. What is o?\nAnswer: -6042, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -684*h - 1179*h + 650*h - 1326*h + 173*h to the form j + u*h and give u.\nAnswer: -2366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2260 - 13657\/6. Let i be 1958\/(-55) + 4\/(-10). Calculate the common denominator of o and (-112)\/i + 0 + -2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5112 (base 7) to base 13.\nAnswer: a65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2161, -0.5, 7\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -863 divided by -11\nAnswer: 863\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2 - 6. Let n(r) be the second derivative of -r**4\/12 + r**3\/6 + r**2\/2 + 2498*r - 2. Give -g(y) - 2*n(y).\nAnswer: -y**2 - 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 12 - 6, 19*j - 17*f = -40*f + 24*f - 36 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50860, 203789, 458662, 815473, 1274216, 1834885?\nAnswer: 2497474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**2. Let h(q) = 5*q**2. Let s(y) = 4*h(y) + 9*m(y). Let k(a) = -357*a + 306. Let t(r) = r - 1. Let i(z) = k(z) + 306*t(z). Give s(i(o)).\nAnswer: 5202*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -5, 8 in descending order.\nAnswer: 8, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2*i - 448 = 0. Let v = 21 - 7. What is the highest common divisor of i and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r**2 - 2*r**2 + 0*r**2)*(-20*r**2 - 5*r**2 + 2*r**2)*(-6 + 2 + 0) as o + q*r**2 + g*r**4 + t*r + k*r**3 and give g.\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + -5 + -2*58\/4. What is v rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 9*s - 10. Determine g(-10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 - 2*u**2 + u - 3. Let v(t) = -t**3 + 6*t**2 - 4*t + 3. Let i be v(3). Suppose -6*a - i + 0 = 0. What is n(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**3 + c**2 + 24*c + 22. Let j be n(-10). Suppose -2*s = 3*t - 11823, 2*t - 42*s - j = -47*s. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -13311*i - 950. What is the thousands digit of a(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t + 3*z + 12, 5*t = 4*t - z + 4 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vykvykkvyeg. What is prob of sequence eky?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(6)*4)\/sqrt(3) - 5*3*(sqrt(2) + 4*sqrt(2)).\nAnswer: -71*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((0 + -2 + sqrt(75) + -3)*5)**2*1.\nAnswer: -7500*sqrt(3) + 15000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -139 - -146. Let i(c) = -3*c + 15. Calculate i(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h - 16*h = 108. Let j(i) = -5 + 3*i + 2 + 6*i - 12. Calculate the remainder when j(9) is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1740541 (b) -0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is 84399.4 minutes in nanoseconds?\nAnswer: 5063964000000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 822.5 - 822. What is the nearest to -1\/6 in q, -2, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1583386383?\nAnswer: 3, 463, 467, 2441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**2 + 24*b + 110. Let x be o(-10). Which is bigger: x or 69?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dnnfnnf. What is prob of picking 3 n and 1 f?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61 - 40 = 5*f + 4*z, 0 = -4*z + 16 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07189301 rounded to 2 dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -59*j**2 - 59*j**2 + 105*j**2 + 6*j + 0*j**4 - 3*j**4 + 2*j**3 to d + c*j**4 + l*j + z*j**2 + a*j**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9 = 3*o, 0 = b - o + 3*o - 6. Suppose 0*x + x = b. Suppose -3*g + 0*g + 12 = x. Solve -g*v + 7*k - 10 = 4*k, 5*k - 9 = -v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485995673 to the power of 1\/2, to the nearest integer?\nAnswer: 22045","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46181\/18 + -2569. What is the common denominator of (-430)\/20 + (-1 - -5) and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4)*c**43*c)**15 assuming c is positive.\nAnswer: c**600","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -75654700 and -443?\nAnswer: 75654257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 10. Let i = -55 - -1. Let g = i + 80. What is the remainder when g is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -3. Suppose -b - 3 = -2*o, 0 - q = -o + 5*b. Let w = 6 - 3. Solve -4*m + w = -m + d, -2*m = d - o for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 7:26 AM?\nAnswer: 269","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -11309503 + 0.5.\nAnswer: -11309502.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -20351000 rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55480740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -10. Suppose 0 = 3*b + 2*b - 25. Determine k, given that -2*k**4 - 6*k + k**5 - 3*k**3 - 3*k**b + 2*k + 2*k**2 + h*k**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24795 times 1.5\nAnswer: -37192.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 31*y - 27*y - 22, y = -3*u + 16. Let l be (-3 - -5)\/(2\/(-2)). Let t = l - -12. Calculate the remainder when t is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 3:55 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-104)\/39)\/((-14)\/21). Solve 0 = 2*i + n*r - 22, -i + 3 = -r + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12976 (b) 4 (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d + 12*d = -6*f - 16*d - 28, 4*f = -d - 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-2)\/(-8))\/((-36)\/(-192)))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(85)\/(sqrt(20)\/(sqrt(12)\/sqrt(3))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.428 rounded to zero decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.198 times -3.4\nAnswer: 0.6732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 u when four letters picked without replacement from suusuuussuusu?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12418 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 249 and 213051.\nAnswer: 53049699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 13991006.\nAnswer: 1\/6995503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -9384, 0.4, 2\/19, -42 in descending order.\nAnswer: 0.4, 2\/19, -42, -9384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 5 + 3)*(-6*x + 3*x + x)*(2 + 4 + 1)*(0 - 1 - 3) to the form d*x + t and give d.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-10)*(-25)\/5. Suppose -2*p = 3*p - x - 395, 0 = -m*p + 5*x + 135. Suppose -3*w = -5*w + p. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77272, 77509, 78138, 79351, 81340, 84297, 88414?\nAnswer: 93883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4 + 2. Solve -u - v*u + 13 = b, 27 = 5*u + 3*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h + 9*h - 3105. Let t = h - -50. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 9 = -2*c + 3, 3*z - 3 = c. Let l be (-20)\/165 + 2\/3. What is the biggest value in l, c, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147521 is divided by 5463.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + 14*b = 265. Let r = 102 + b. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, -2\/5, -0.009, 2, 4\/3, 187, -15?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.44 in -12, 0.2, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14619.45020068 less than 0?\nAnswer: -14619.45020068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -12134 (base 5) in base 9?\nAnswer: -1231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2 - 3) + 8 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -4*b - b + 4*x, b - 4*x - 23 = 0. Which is smaller: 40 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2044 is divided by 431?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 6*a**2 - 8*a - 5. Let i(z) = z - 12. Let h be i(5). Let f be n(h). Put -0.1, f, -3 in decreasing order.\nAnswer: f, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -38 + 153. Are k and 1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.25. Let i = y + -0.08. Let q = -0.33 - i. Which is the nearest to 1? (a) 1\/5 (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 350181 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.910140519 rounded to three decimal places?\nAnswer: -1.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 960147 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 148985480 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 + 28. Suppose -6*z + a = -z. Put -1, z, -3 in decreasing order.\nAnswer: z, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*m = 52, -d = 2*d - 4*m - 44. What is the greatest common factor of 30 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.40999559 - -5.41. What is n rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 9*r**2 + 23*r - 8. Let f be a(11). Solve 2*g - f = n + 3*g, 2*g = 5*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -879? (a) 4\/9 (b) 378 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-8 + -1 + 0). Let w = 197.796 - 198. Let s = -4.796 + w. What is the closest to 1 in s, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighty-seven halves of a litre?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {h: 6, s: 1, u: 1, w: 2, q: 3}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -123332111 (base 4) to base 16\nAnswer: -1bf95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u + 22 = 13*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/((-135)\/12)*(-10)\/(-2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1000 (base 2) to base 10\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express h**4 + 386 + 375*h**2 + 369 - 2*h - 755 + 0*h**4 in the form m*h**3 + r*h**2 + j*h + f*h**4 + q and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-148)\/(-10) + (-6066)\/337)\/(2\/55)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/60*5*12*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - g + 74. Let m(d) = d**2 - d + 147. What is -2*m(c) + 5*u(c)?\nAnswer: 3*c**2 - 3*c + 76","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/15 + (1452\/(-20))\/(-3). Let m = g + -23. Solve -m = h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 5*q**2 + q. Let t be m(5). Find the second derivative of 4*o - 5*o + t*o + 3*o**5 - 10*o wrt o.\nAnswer: 60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/6)\/((-3)\/(-6)). Suppose l - 48 = -i*l. What is the least common multiple of 10 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*u + 47*u - 77*u - 131 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -181 - -320. Suppose -11*m + 257 + x = 0. Calculate the highest common factor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (81\/9)\/(-18)*40*8\/60.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -1113690 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/20*-1*(-15)\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**4\/4 + 8*u**3\/3 - 3*u**2 - 4*u - 218. Let l be v(7). Solve r - 8 = l*r + 5*h, 3*r + 5*h = -7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-600)\/303800)\/((-6)\/28))\/(((-5)\/(-7))\/5)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(5\/2)\/x**(-10) assuming x is positive.\nAnswer: x**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x. Let o be l(-10). Suppose -4*z - o = 4*k, -z + 3*z = -5*k - 20. Round z to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*n + 137*n + 3*o = 2*o - 4, 17*n - 2*o = 12*n + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79937 and 13416.\nAnswer: 1918488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 5*t**2 - 1. Suppose 18 = 196*c - 202*c. Let k(z) = -7*z**3 - 14*z**2 + 3. Determine c*k(f) - 8*l(f).\nAnswer: 5*f**3 + 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + q - 25 + 5*q + 25 as h*q**3 + b + i*q**2 + n*q and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1591 + -1661. Suppose -3*w + 6*w - 323 = 5*s, 5*w = s + 47. Let i = s - z. What is the third smallest value in 1, -2, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/132960 and 131\/1170048?\nAnswer: 5850240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274859*j**2 + 0*j + 0*j + 2425411*j**2.\nAnswer: 2700270*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j + 2. Suppose 2*i + 3 - 13 = 0. Suppose i*m + 6 + 14 = 0. Give u(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(16\/7)\/q**20 assuming q is positive.\nAnswer: q**(-124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 696\/(-5220) + (-5284)\/(-30). Solve 0 = 187*r - c*r - 77 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - -3)*(-22)\/(-8). Solve 0 = -4*o - 5*f + 30, 3*o + 4*f - 6*f - v = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4383*l**4 - 23073*l wrt l.\nAnswer: 52596*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3971.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 8*c**2 - 402*c + 3893. What is r(14)?\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + n = 103824, -5*s + 39202 = 4*n - 64619. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 5*r + r - r - 4 + 4 + (4*r - 4*r - 2*r)*(-1 + 1 - 1) - 22*r + 4*r - 3*r)*(-29*r**2 - 1789 + 1789).\nAnswer: 609*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 310010 (base 4) to base 12\nAnswer: 1b18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = s + 9, 10 = -2*s - 3*g - 8. Let p be ((-2)\/(-78))\/((-1)\/(s + 3)). Which is the second biggest value? (a) -5 (b) -3 (c) p (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 23, -3\/5, -1?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 540224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1611 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: Collect the terms in -3*t**2 - 9*t**2 + 9*t**2 + 7*t**3.\nAnswer: 7*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 82 + -900\/11. Let s = 0.01 + 2.99. What is the third biggest value in t, -0.05, s?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43.5 - 44. Let k = -0.012 - 0.088. Which is the nearest to k? (a) 0.4 (b) -0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(5\/8)*g*g**(3\/8)\/g*g*(g\/(g*g**(-18)))\/((g*g**(12\/7)*g*g)\/g*g))**(-34\/7) assuming g is positive.\nAnswer: g**(-3876\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, j: 1, b: 5, t: 1, a: 1}. Give prob of picking 1 j, 1 l, and 2 b.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49877 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 8, z: 7, c: 4}?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*t, -z = -3*z + 5*t - 17. Let j(v) = 5*v**2 - 11*v. Is j(z) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 10 + 10*l + 3*l + 10 - 23. Is x(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 3*l + 25. Let z be g(-9). What is the tens digit of z\/(-6) - (-806)\/39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*l**2 + 13 - 52*l**2 - 11*l**4 wrt l.\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 4. Suppose 173*d - 237 = -146 + 255. Put 1, q, d, -4 in decreasing order.\nAnswer: d, 1, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 716*a + 31. Let q be g(12). Suppose 5*z + q = -7262. Let d = z + 4688. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210212 (base 3) in base 2?\nAnswer: -110110110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (107*t**2 - 103*t**2 - 79*t**2)*(-4 + 10 + 2)*(1 + 1 + 0).\nAnswer: -1200*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2510 and 610?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 6*g = -g - 305, 4*h = -5*g + 241. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 4:11 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 2196.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97711187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -p**7\/840 + p**6\/45 - p**5\/15 - 5*p**4\/24 - 13*p**3\/3 - 27*p. Let n(l) be the second derivative of z(l). Calculate n(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011101110001001 - 101?\nAnswer: -100011101110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 7. Let q(w) = 3*w + 8. Let l(t) = -5*b(t) - 4*q(t). Let c be l(0). Suppose -3*g - 6 = -0, c*g = k - 167. What are the prime factors of k?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*16.3.\nAnswer: -16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 713?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -177 + 65. Let d = r + 222. Calculate the highest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 = 3*r. Suppose 0 = -r*t - 2*i + 3*i + 48, -i - 33 = -2*t. Is 3\/(18\/74)*t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4451, -17353, -38705, -68507, -106759, -153461?\n\"Answer: -4225*z**2 - 227*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + 9 + (-2 - -1). Let s(n) = -2*n**2 + 2*n - 2. Let t(w) = -2*w**2 + 2*w - 4. Let y(k) = 2*s(k) - 3*t(k). List the prime factors of y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 22 - 2 = 4*b + 3*h + 2, 3*b + 20 = 4*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -2*z**5\/9 - 32*z**4\/9 - 16*z**3\/9 + 212*z**2\/9 + 2*z - 20 = 0.\nAnswer: -15, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - a. Let o be x(0). Suppose 2*v - 7*v + 3*c + 101 = o, -v + 25 = c. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 109abd (base 16) in base 7?\nAnswer: 12151364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114543 divided by 9.\nAnswer: -12727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(4\/9)*b)**8)**(-25) assuming b is positive.\nAnswer: b**(-4400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6210 + -6188. Solve 17*l = -5*l + c for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1253, -2544, -3867, -5240, -6681, -8208?\n\"Answer: -3*i**3 + 2*i**2 - 1276*i + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by 12.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**4\/7 + 12*j**3\/7 + 6*j**2\/7 - 12*j\/7 - 9\/7 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 622 + -238. What is the third derivative of 384*y**3 - m*y**3 - 40*y**5 + y**2 wrt y?\nAnswer: -2400*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 51*m**2 - 22*m. Let u(o) = o. Let v(n) = -6*u(n) + w(n). Find the second derivative of v(s) wrt s.\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 2\/(-2)*(9 + -7). Suppose 2*j + 798 = 5*d, h*d - 2*d = 2*j + 324. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 91353*x**4 + x**3 + 6*x**2 + 592683*x?\nAnswer: 1096236*x**2 + 6*x + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**6\/2 + 6*p**5\/5 + 3*p**4\/4 + 46. Let v(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c**3 - c**2 + 3*c - 9. Let h(r) = 9*r**3 + 4*r - 12. Give -3*h(a) + 4*p(a).\nAnswer: 9*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 575 + -533. Let x(d) = -d - 1. Let u(t) = 7*t**3 + 42*t + 42. Calculate s*x(q) + u(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 148 - -91. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 418291 and 62397.\nAnswer: 2311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87.526 + -89.526. Let n = 1 + 0. What is the closest to n in -4, k, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8993990*m - 97592. Let t(r) = -2212*r - 24. Calculate -6*l(x) + 24398*t(x).\nAnswer: -4436*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 8. Let w be ((-2)\/4 + o)*2. Suppose 0*j + 3*h - 392 = -4*j, 2*j = -w*h + 210. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 2. Let q be w(2). Suppose q*y - 5*y = 0. Solve y = j - 2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(68)*-2 + sqrt(68) - sqrt(68)*2*-3)\/((sqrt(2816) - sqrt(2816)*2)\/sqrt(11)*5).\nAnswer: -sqrt(17)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 7630 = -7590. Which is the biggest value? (a) 2\/25 (b) 0.4 (c) w (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from qqaqaaaqaaqqqaaaaaa.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -3316*n**3 - 9*n**2 + 7*n + 5. Is u(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -0.4, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 80\/(-160)*28*-1. Solve 4*x = -2*b + b - 14, 0 = 3*x - b + y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 11. What is u(-4)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 + 66. Suppose y*w + h - 234 = 0, -w + 164 = 3*w - 5*h. Suppose -39*g - 812 = -w*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33*d*u**4 + 13*d*u**3 + 19*d*u**2 - 28*d*u + 201*d + 2291*u**4 - 3*u wrt u.\nAnswer: 792*d*u + 78*d + 54984*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 313858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 - 2*y**3 + y**3)*((3 - 1 - 1)*(-2*y - y + 2*y) - 3*y + 2*y + 0*y).\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 166925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(-7\/2))**(2\/3)\/((s**2)**43\/((s**3*s)\/(s*s**8*s))) assuming s is positive.\nAnswer: s**(-92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81311 - -38950. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*h - 145 = 0, -7*h = -2*h. Let i = 72 - o. What are the prime factors of i?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-184)\/1702*(4 - 0). Is t smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 21\/1871 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -31.8 times 5\nAnswer: -159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30491 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 26473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*n - 4. Suppose -5*u = d - 25, 6*u = -4*d + n*u + 52. Let y(p) = 9*p**2 + 1. What is the lowest common multiple of y(1) and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - 0 - (4 - (27 + -26) - (16 + 1)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -204 (b) 0.1 (c) 1\/4 (d) -3 (e) -0.2 (f) -2.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -2. Let d = -4 + 3. Let u = o - d. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -142774, -10 in increasing order.\nAnswer: -142774, -10, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5192.\nAnswer: 2, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -47, -120, -197, -278, -363?\n\"Answer: -2*i**2 - 67*i + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15.1 - -20.4. Let b = 6.3 - y. What is the smallest value in b, -1, 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (sqrt(2156)\/sqrt(4) - (5 + sqrt(11)*-4 - sqrt(11) - sqrt(11))))*2)**2.\nAnswer: -728*sqrt(11) + 7632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t**2. Let j(n) be the second derivative of n**4\/12 + 11*n**3\/6 - 116*n**2 - 69*n + 2. Let k(y) be the first derivative of j(y). What is o(k(i))?\nAnswer: 32*i**2 + 352*i + 968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -12 - ((0 - -13) + -12)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**6\/720 - r**5\/80 + r**3 + 37. Let g(c) be the third derivative of x(c). Solve g(l) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -23*g - 741. What is v(-30)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/23, 61012, 4, 0.1, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/15 + 83*t**4\/6 + 644*t**3 + 47*t**2 + 28. Find b, given that q(b) = 0.\nAnswer: -69, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 - 2*m**2 + 13*m + 14. What is b(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*r = -11*r - 1128. Suppose 95*t - r*t = -1. Is -1\/34 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -104. Let i = -24\/11 + 37\/22. Put t, -0.2, i, -3 in descending order.\nAnswer: -0.2, i, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -449cc (base 16) in base 6?\nAnswer: -10005032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/(-208)*(-3)\/9*1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/9)\/(-2)*-3. Let s = q - -43. Let b(y) = -2*y**3 - 2*y**2 + 3*y + 3. Let o be b(-2). Solve 3*k - 5*u - 4 = 3, -3*u + s = o*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7191.27339896 + 0.09559896. Let w = b - -7102.17. Let j = w - -89. What is j rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4904 times -0.2?\nAnswer: 980.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z + 5*z - 4*z + 1 + z**2 + (0 - 2 + 0)*(192*z - 192*z - 25*z**2) in the form s*z + x + b*z**2 and give b.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - (-1142)\/(-6)) + (-11)\/(-33). Let h = 135 - p. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -29.\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/7 - (-4)\/14. Suppose f*w - 1 = b - 6, 0 = 5*w + 4*b - 20. Suppose 0 = -3*t + 30 - w. Is 9 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1348759 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m - 4*m + 7 + 12*m. Let i(q) = q - 8. Let x be i(10). Let r be x + 3 - (0 + -7 + 6). Determine z(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seventy-two fifths of a tonne?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -342 + 351. Let y(q) = -q**2 + 7*q + 5. Give y(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2\/5 (b) 26 (c) 5 (d) 1 (e) 1\/3 (f) -0.2 (g) -51585\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3388\/1665 + -31\/1480. What is the common denominator of 95\/132 and c?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 0, 1, 0.4, -3, 2265.48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 384287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 85 and -5.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 7*w - 82. Let c be a(-6). Which is smaller: c or -75\/8?\nAnswer: -75\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) -33 (c) -3 (d) 2 (e) 10\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -254 * -9602.\nAnswer: 2438908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + s = 12. Let j = -21 - -39. Let u = s + j. Solve -2*y + 5*f = 2*y + u, 2*y = 3*f - 11 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10613178.\nAnswer: 2, 3, 41, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + 3 - 3)*(-1 - 1 - 2)*(-1 + 4 - 4).\nAnswer: -8*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34128693*x**2 + 33772021 wrt x.\nAnswer: -68257386*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16584 - 15036 = -17*m. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78258349 and 561197.\nAnswer: 11453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*c - 4*b - 14, b = -5*c + 13. Suppose 0 = -c*f - 3*i + 4359, -2*f + i + 2908 = 2*i. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -4*y + 187. Calculate q(47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + 14?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 59\/5 of a millennium?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000629 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/(-105))\/(16\/(-48)). Let a(g) be the first derivative of -75\/7*g - 1 - w*g**3 - 15\/7*g**2. What is d in a(d) = 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000898754 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/6*18\/3. What are the prime factors of -2*(-2)\/4*n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w + 11*w = 7*w + 252 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from stsqttteetttstqbt. What is prob of sequence sq?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p. Let d(w) = 7 + w - 1 - 6. Determine m(d(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 188 and 60?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**2 + 2 - 1 + r**2 + 2*r. List the prime factors of l(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/9)\/((-112)\/(-672))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.5 in 0, 1040, 3, -0.4, 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 15611148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r - 4. Suppose -5*x + 2*k = -14, -3*x + 8 = 2*x - 4*k. Suppose x*o = 14 + 6. Suppose 4*h - 10 = 2*n, -3*h + 6*h + o = -n. Calculate t(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, 23, 0, 5.\nAnswer: -2\/17, 0, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*-1*sqrt(684) + (sqrt(684) - (-1 + sqrt(684)*1))) + -2)**2.\nAnswer: 60*sqrt(19) + 17101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 8\/(-52) - (-67)\/13*1. Solve -j + k*j = -20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 461350260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 n, and 1 b when four letters picked without replacement from {y: 4, n: 1, b: 5, h: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 55271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19\/71 (b) 36949 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 95591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1706 to the power of 1\/2, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 - 104*o**3 - 120*o**3 + 257*o**3 + (3*o - 7*o + 3*o)*(3*o**2 - 2*o**2 + o**2) - 2*o + 2*o + o**3 to v*o**2 + t*o + m + i*o**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3060)\/(-153) - (-444)\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-20) + (-2)\/(-8). Let p = -10 - -12. What is the second smallest value in v, p, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (20 - 14)\/(-1) - -9 and 424?\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 64?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 74074.69um?\nAnswer: 0.00007407469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 7. Let j be p(7). Suppose 5*d + 29 - 104 = j. Suppose -5*l = -4*i - 21, i - 6 = -4*l + d. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809812306?\nAnswer: 2, 17, 23818009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -991.\nAnswer: 99.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 8 - 62. Let b = -18 - i. Suppose -w = b, -w + 44 = 4*f - 6*w. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -53, 1, -3, 17 in decreasing order.\nAnswer: 17, 4, 1, -3, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -67. Let g(a) = 115*a - i*a - 22 + 37. What is the hundreds digit of g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11.7 or 2\/85?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 14*m + 5. Let t(j) = -323*j - 114. Let i(n) = 114*p(n) + 5*t(n). Let l(c) = -55*c**2 + 25*c**2 + 29*c**2. Give l(i(q)).\nAnswer: -361*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -9. Suppose 4*o + 195975 = 5*v, -o + 0*v + 3*v - 48985 = s. What is o rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*x - 2 + 2 - 4*x to a + r*x and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 210 and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 535237.7 decades to months.\nAnswer: 64228524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-72))\/((-70)\/64). Let p = u - -2\/35. Put p, 5, -8, -4\/7 in increasing order.\nAnswer: -8, -4\/7, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42709641.\nAnswer: 3, 13, 1095119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 991?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*k*u**4 + 391*k*u**2 - 27831*k - 34*u wrt u.\nAnswer: 56*k*u**3 + 782*k*u - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011366 to 4 decimal places.\nAnswer: -0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 64, 124, 186, 250, 316, 384?\n\"Answer: n**2 + 57*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/29*(-1911)\/234 + 52\/(-78)\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3422371990 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-38) + (-306)\/1292*-22*5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x - 3*b + 3, 2*x + 4*b + 6 = 0. Let t(o) be the first derivative of -o**4 - 3 + 13*o - 23*o + x*o. What is the derivative of t(z) wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70.338 times -1641\nAnswer: 115424.658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v - 4*v + v - 2*v. Let o(i) = -4*i**2 + 2*i**2 - 4*i**2. Calculate o(f(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.01841422 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4970*s - 7 = d + 4966*s, 5*d + 77 = -s for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l. Suppose 10 - 10 = -i. Let b(d) = -6*d + 0 + i*d + 0. Determine h(b(j)).\nAnswer: -24*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 9*j - 18. Let u(k) = -5*k**2 + 44*k - 91. Let s(o) = -11*a(o) + 2*u(o). Let z be s(9). Let b(y) = y**3 + 4*y**2 + 4*y + 3. Give b(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1419438013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - ((-2 - (0 - 3)) + (-1 - -2)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 7*w**2 + 7*w**2 + 20*w**2.\nAnswer: 20*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - 24?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 - 2*p + 2*p)*(-2*p - p + p) + 2 - 2*p**2 - p**3 - 2 + (-4*p**2 + 2*p**2 + 0*p**2)*(4*p - 4*p + 3*p) - 49 - 8*p**3 + 49.\nAnswer: -11*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 494, -3363, 5 in increasing order.\nAnswer: -3363, 5, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/19)*o**(1\/13) assuming o is positive.\nAnswer: o**(6\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + sqrt(85) + (sqrt(85) - -2*sqrt(85)*3) - sqrt(85) - sqrt(85))\/(-1*((sqrt(5) - sqrt(15)\/sqrt(3)) + sqrt(5))).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 4*x + 45181 = -14652, 0 = -2*s + x + 39892. List the prime factors of s.\nAnswer: 3, 61, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -381464 + -9?\nAnswer: -381472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 6*h**2 - 14*h + 11. Let b be j(-8). Let x(s) = -10*s - 21. Give x(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*d - 71 = 10*d + 121. Solve 3*k - 6*k - 11 = y, 0 = 5*y + d*k - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1811.70601 plus 2?\nAnswer: -1809.70601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 3 + 3)*((0 - 3 + 2)*(-1 + 2*w + 1) - 12 + 12 - 7*w) in the form p + t*w and give t.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40734828?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/23 and (-55)\/2*(-6)\/27.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1294.377 - 6704.1.\nAnswer: -7998.477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033872496 rounded to three decimal places?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -117, -266, -525, -930?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 219 or -10103?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 12:15 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 210927, -4\/3, -3, 2 in ascending order.\nAnswer: -3, -4\/3, 2, 210927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193 - -199. Solve z*l + 8 = 2*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*h + b = -4, 5*b = 4*h - 20. Let c be 7\/17*3 + -1. Which is bigger: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*t = -4*t - 40, -f + t = -14. Let d(j) = 2*j**2 - 24*j + 4. Give d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -303213 - -13?\nAnswer: -303200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10755249 to the power of 1\/3, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(162) - -1*sqrt(162)))\/sqrt(6))**2 + ((sqrt(27) - sqrt(81)\/sqrt(3)) + 2)*-5.\nAnswer: 1718","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 224 - 221. Let z(v) = v - 3. Let u be z(3). Suppose u*x = x - 1. Put -1, x, c in ascending order.\nAnswer: -1, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.006 - 1.994. Let r be -2*((-21)\/6 - -1) + -2. What is the nearest to r in s, -2\/3, 0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = q - 3415, 0 = -36*q + 34*q + 2*t + 6836. What are the prime factors of q?\nAnswer: 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*f - 2*f + 18, 2*x + 5*f - 21 = 0. Suppose x*s - 137 = -35. Calculate the remainder when s is divided by (9\/5)\/((-14)\/(-140)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*o**2 - 8*o**2 + 2 + 3*o**2 - 152*o**3 + 253*o**3 + o**4 - 5*o in the form p + n*o**4 + u*o + t*o**3 + v*o**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3155\/6 - -525. Which is the fourth smallest value? (a) -3 (b) p (c) -2\/11 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000001100000 (base 2) to base 16.\nAnswer: -2060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -98, -63, 32, 217, 522, 977?\n\"Answer: 5*b**3 - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -1\/6, -0.1, -5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = p - 1, -5*p - 2*m + 24 = 2*m. Find c such that -2*c - 15*c**3 + 5*c**2 - 5*c**4 + p*c + 2*c + 11*c = 0.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/501330 and 123\/55981850.\nAnswer: 167945550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2391 and 27.7.\nAnswer: 66230.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 32468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 103. Let t(l) = -l**2 - 10*l - 1. Determine t(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(2\/(-1)))\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45*c**3 - 28*c**3 + 37*c**3 - 4 + 4 - c**3 + (0 + 0 - 1)*(c**2 + 2*c**3 - c**2) - 2*c**3 - 2*c**3 + 3*c**3.\nAnswer: -40*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 843 divide 174013746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.643 + -0.87. Let k = m - -0.027. Which is the nearest to -0.1? (a) 3 (b) k (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8218?\nAnswer: 2, 7, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22975.776 rounded to the nearest 1000?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66395 is divided by 3905?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**4\/20 + 163*q**3\/15 - 108*q**2\/5 - 913*q. Factor u(c).\nAnswer: -(c - 108)*(3*c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 517 (base 14) to base 9.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 140 divided by -14\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 669 and 5733.\nAnswer: 1278459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 2:28 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 - 2*j**2 - 6. Give t(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j**3 + 3*j**3 + 2 - 1 in the form i + p*j + b*j**3 + s*j**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 12290277?\nAnswer: 1\/12290277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3758*x - 3803*x = -180. Solve 4*k - 104 = 3*c - 109, c = -x*k - 9 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 833\/(-119) + 17\/1.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 912*f + 8 = 908*f + 5*m, 0 = 4*f - 4*m + 12 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(156) + (sqrt(156) - sqrt(156)*-5 - sqrt(156))))\/sqrt(12).\nAnswer: 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14936424*m**4 - 1269582*m**2.\nAnswer: 358474176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/37, 1086\/455, -0.4, 4 in ascending order.\nAnswer: -0.4, -2\/37, 1086\/455, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/2 - 84*s**4 + 24*s**3 + 23709*s**2 - 45*s\/2 - 23625 = 0 for s.\nAnswer: -50, -21, -1, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 f when four letters picked without replacement from pppfooofooopfopo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 224455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652648 is divided by 217346?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 4385 divide 50532063?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-21)\/(-6)*21\/(-33) and -53\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4186)\/(-56) - (-3)\/(-4)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**3 + 1747594*j**2 - 763522944800*j + 1527038899232 = 0.\nAnswer: 2, 873796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, o: 10, p: 6}. What is prob of sequence poop?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 57*j**5 - 1785*j**2 - 328749*j?\nAnswer: 1140*j**3 - 3570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73563 and 121107.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 2*j - 89 = -4*j - 113, -5*q - 50 = 15*j for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2860805 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 459*c**3 - 924*c**3 + 295*c**3 + 320*c**3.\nAnswer: 150*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1022 at most as big as -1022?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 23*l - 195. Give b(8).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(((r\/(r\/(r*r**10)))\/r)\/r)*r))\/((r\/r**(-5\/7)*r)\/r)*(r**2)**(-45) assuming r is positive.\nAnswer: r**(-579\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 5 = -2*b. Let u = b + 10. What is the third derivative of -6*w**u + 7*w - 2*w - 4*w**2 - 5*w wrt w?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -417 + 414. Let d be (228\/(-15))\/((-42)\/(-15) + u). What is the greatest common divisor of d and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -29769 smaller than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t. Let v(m) = -28*m**2 - 11*m**2 + 21*m**2. Give g(v(k)).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34424 less than 585228\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6637 - -6641.27. Round b to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o - 3. Let a(l) = -24*l + 8. Let x(c) = c**2 + 14*c - 30. Let r be x(-16). Let d(w) = r*a(w) + 5*s(w). Give d(3).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2060, -3883, -5476, -6725, -7516, -7735?\nAnswer: -7268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 9:06 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -3. Let q be (-744)\/(-54) + (-4)\/(-18). Suppose -2*b - q = -f*h, -2*b - b - 13 = 2*h. Is -3\/10 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 242*r**4\/9 - 509300*r**3\/3 - 61736*r**2 - 50512*r\/9 = 0?\nAnswer: -2\/11, 0, 6314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5*l + 0)*(7*l**2 - 4*l**2 - l**2) + (2*l - 4*l + l)*(-4*l**2 + 2*l**2 + l**2) + 1 - 1 + 4*l**3.\nAnswer: 15*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 218, 602, 986, 1370?\n\"Answer: 384*n - 166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 - 1.47. Let f = m - -3.52. Let t = f - 3.7. What is the second biggest value in t, -0.2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 1)*(-2*q + q + 2*q) + 5*q + q - 3*q + 1460*q - 596*q - 433*q - 587*q to the form p + w*q and give w.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f**3*m**2*u**3 + 5*f**3*m**2 - 11*f**3 + 2894*f*m**2*u**3 - 4*m*u**2 - 14*u wrt u?\nAnswer: -90*f**3*m**2 + 17364*f*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 144252770?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -70\/3 and 55\/1959.\nAnswer: 1959","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5350397?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7ab + 173?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c + c + 4*c)*(-2 + 4 - 4) + (1 + 3 - 3)*(-c - 5*c + 2*c) + 2*c - 5*c + 2*c in the form d*c + s and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*w - 2727*w**4 + 13*w - 2 - 42*w + 4)*(4 + 1 + 1).\nAnswer: -16362*w**4 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -9, 1\/56, -32, 0.6, -7, 85?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57804967709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 1 = 3*m + 21, -r - m - 19 = -3*r - r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 4:48 PM?\nAnswer: 29","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 8\/857?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 133 and 20424145.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaa when three letters picked without replacement from {a: 2, k: 11}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120 - -201210100?\nAnswer: 201210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 26254*c - 26266*c = -18, 4*c + 71 = -3*g for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 times 26789?\nAnswer: 4045139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7035575 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, f: 3, m: 7}. What is prob of picking 4 m?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**2*q**2 - 2*f**2*q - 19*f*q**3 - 4*f*q**2 + 1717*f*q - 6*q**3 wrt q?\nAnswer: 4*f**2 - 114*f*q - 8*f - 36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.683 + 9.047. Let z = 0.27 + u. Let j = 6 - z. Which is the closest to 1? (a) j (b) -1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590*y = -505*y - 1190. What is the highest common divisor of 15400 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.368 times 57?\nAnswer: -20.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-997)\/3)\/(2*1\/126). Let v = u + 35728. Let f = v - 8300. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111010100001011 - 0?\nAnswer: 1000111010100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/1040 - -52529\/3120. Calculate the common denominator of 91\/4 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine halves of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/(u*u**(-1\/11)*u))*u)\/(u**(1\/2)*u))\/(((u\/(((u*u**(-13))\/u)\/u)*u)\/u*u)\/u*u)**(-1\/3))**(2\/27) assuming u is positive.\nAnswer: u**(511\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. What is the third derivative of 12*y**3 - 12*y**2 - 12*y**3 + 2*y**q + y**5 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/(-3))\/(14\/(-21) - 0). Factor 1\/4*t**3 + 1\/4*t**x + 0 + 0*t.\nAnswer: t**2*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*(u\/u**(2\/5))\/u)**(-2\/47))**(-20\/3))**(-22\/3) assuming u is positive.\nAnswer: u**(-176\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/11567 (b) -0.0456 (c) 5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 + r**3 - 3*r**3)*(-113*r + 226*r - 105*r + 1).\nAnswer: -8*r**4 - r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 5:23 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3 + 0 - 20*p - 2. Let l = -4116 - -4117. What is v(l)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102 (base 3) in base 2?\nAnswer: 100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 0*y + 11 - y - 3*y - 4. Calculate the remainder when 74 is divided by m(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**3 - 2*i**2 - 3 - 3 + 11 - 4 to the form m*i**3 + o*i**2 + l + j*i and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -12*a**2\/7 + 7038*a\/7 + 3522\/7 = 0.\nAnswer: -1\/2, 587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 0.032 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1179695 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 4, h: 4, x: 3, q: 6}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -1459*x**3 + 2*x**2 + 11*x. Let s(w) = -729*w**3 + w**2 + 6*w. Calculate -11*s(i) + 6*t(i).\nAnswer: -735*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/6 + 93656*o**3\/3 - 936577*o**2\/6 + 749266*o\/3 - 124878 = 0. Calculate o.\nAnswer: -187317, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 3 + 9 - -14 - (5 - -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -4.7514 and 10.\nAnswer: 5.2486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2835*v**3 - 500*v + 8 + 2478*v**2 + 32 - 408*v**2 = 0.\nAnswer: 2\/9, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158858113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - 41 - ((-14 - -16) + 27)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i - 22 = -14*i - v, 4*i - 2*v = 46. Solve 17*a = 20*a - i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**5 + 13920*w**4 - 16161111*w**3 + 32266566*w**2.\nAnswer: -3*w**2*(w - 2319)**2*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n + 5. Let y be g(0). Suppose 8*c - y*c - 12 = 0. Solve -7 = -3*v - k, 2*v + k - 10 = -c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 21. Suppose 0*z - z + 21 = -5*r, r = 3*z + k. Suppose 3*h - 3*m - 6 = 0, -5 = -3*h + 4*m - 1. Put h, z, -1 in increasing order.\nAnswer: z, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c - 29. Let y(o) = o + 15. Let v(f) = 6*b(f) + 11*y(f). Let u(p) = -3*p**2 - 73*p + 58. What is the remainder when v(8) is divided by u(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + 104?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5265\/61837 or -1?\nAnswer: 5265\/61837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**2 - 8*h - 17. Determine q(7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 20*m - 214613 = 0. What is m rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(396))\/sqrt(11))\/(1*sqrt(768) + sqrt(768)) + (4*(-3 + sqrt(3)) - (2 + sqrt(21)\/sqrt(7))).\nAnswer: -14 + 49*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -9*m + m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2)*p\/p**(2\/3))\/(p**(1\/6)*(p*p**(1\/5)\/p)\/p) assuming p is positive.\nAnswer: p**(-31\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + -13. Let x = -11482.115 - -11442. Let h = b - x. Round h to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.13026 nanometers in meters?\nAnswer: 0.00000004713026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13061 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10) - ((-16)\/12 - (-309)\/45).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 482047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -314 - -319. Solve 0 = x*h - 17 + 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -6. What is the common denominator of (3\/(-12))\/(x\/(-182)) and (-1320)\/(-880)*(-2)\/37?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + 37. Let b = -14 + l. Let s = b - 33. What is the closest to -1\/4 in 1\/2, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00153896 to five decimal places.\nAnswer: 0.00154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 68*m**2 - 240*m.\nAnswer: -2*m*(m + 4)*(m + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226 = -5*m - 3*g, 3*m + 3*g = -0*g + 138. Suppose 0 = -3*l - 5*t + 2*t + 72, -m = -2*l + 2*t. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32.22 + 28.22. Let j = 0 - 0.1. Let h = 1\/25 - 79\/100. What is the closest to -1\/4 in m, j, h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r**3 + 4*r**2 - 8*r + 4. Let b(q) = -23*q**3 - 7*q**2 + 14*q - 7. Let z = 120 + -115. Let y(g) = z*c(g) + 3*b(g). Calculate y(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.77 + 0.23. Let n = 5 - l. Let w be 9\/(-6)*2\/6. Put 1, w, n in descending order.\nAnswer: 1, w, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2717409073 from 57.\nAnswer: 2717409130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4)*2*-2. Suppose 2*b + o = -0*b - 4*p, -2*b - 2 = 3*p. Solve 4*i + 2 - 10 = r, -11 = 3*i - b*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of 11*t**5\/30 + 2*t**2 + 4*t + 38. Let z be 2 - -3 - 3\/1. Let h(r) = 6*r**2 - 16*r**2 + 9*r**z. Calculate h(v(i)).\nAnswer: -484*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 0, 2\/3, -0.02.\nAnswer: -3, -0.02, 0, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**2 - 81*m + 2 - 73*m**2 + 81*m.\nAnswer: -48*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -35, 135.65, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n + 11. Let x(j) = 2*j - 11. Give 4*x(d) + 3*y(d).\nAnswer: 2*d - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from rkjkqkkrqqrrkjkqkkr?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 5, p: 11}. What is prob of picking 2 i and 1 p?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one ninth of a day?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3109*x**3 - 10*x**2 - 47 wrt x?\nAnswer: 18654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 216\/((1998\/592)\/((-270)\/120))\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 632\/37 or 13.8?\nAnswer: 632\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 + 3*w**2 + 7*w - 19. Let u(k) = k**3 - 2*k**2 - 4*k + 10. Let r(g) = 3*j(g) + 5*u(g). Calculate r(0).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(0 - 16)*12. What is the closest to 1 in -0.3, u, -4, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = 207*n - 203*n + 23, 0 = -4*n - 2*u - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3377?\nAnswer: 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = 0. Let h(a) = -3*a**2 + 9*a - 9. Let i(u) = -u**2 + 4*u - 4. Let p(w) = 2*h(w) - 5*i(w). Is p(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -30, -2\/13, 1, 1873.\nAnswer: -30, -2\/13, -0.1, 1, 1873","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1241 at least as big as 0.49297?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nzqkkzfcznzn. Give prob of sequence znz.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -i**5\/60 + 7*i**4\/24 + 7*i**3\/3 + 25*i**2. Let w be x(11). Let s = 132 - w. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -343*v - 1498*v - 5 + 1 + 4 as y*v + l and give y.\nAnswer: -1841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 7. Let a = u + 15. What is the lowest common multiple of 14 and a?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -74 + 176 + 18*n - 77 - 68. Suppose -4*k = -53 - 11. Is 35 a factor of l(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -73*z**3 + 5046*z**2 - 3140. Let y(b) = 52*b**3 - 3364*b**2 + 2093. Let n(p) = 5*q(p) + 7*y(p). What is the derivative of n(w) wrt w?\nAnswer: -3*w**2 + 3364*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 5*h + 19157, -4*v + h + 4*h = -25546. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -211, 5.\nAnswer: -211, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - k**2 - 1. Let o(q) = -2*q**2 - 4*q + 2. Let x be 3\/4 + 1\/4. Let d(t) = x*o(t) - c(t). What is d(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-168)\/(-5))\/((-9)\/(-45)). Suppose 6*m = -0*m + z. Suppose 4 - 30 = -5*i + 2*j, 0 = -4*i + 4*j + m. Solve -6 = 3*x, -22 = i*u + 4*x - x for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1845 rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - -4510020?\nAnswer: 4510042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + 34650.\nAnswer: 34658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -84512, -169643, -254774, -339905, -425036?\n\"Answer: -85131*j + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 128*a - 1149. Let d be n(9). Factor d*x + 3\/2*x**4 + 0 + 0*x**3 - 9\/2*x**2.\nAnswer: 3*x*(x - 1)**2*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -8. Sort -8, a, 1\/4.\nAnswer: -8, a, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6 (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 103948416 divided by 4\nAnswer: 25987104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 4:06 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (14 - 2)) + 108 + -94.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*z - 3. Which is the second biggest value? (a) z (b) -12 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-3)))**(1\/9)\/((k*k\/(k*k\/(k**7*k)))\/k*k*k**(1\/5)) assuming k is positive.\nAnswer: k**(-118\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m*m*m**4)\/m*m*m*m**12\/m)**(4\/9)*((((m*m**(2\/5)\/m)\/m)\/m)**(9\/4))**(-1\/2) assuming m is positive.\nAnswer: m**(481\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1325, 2650, 3979, 5318, 6673, 8050?\nAnswer: 9455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*h - m + 1, 3*h + 5 = -4*m. Let s be h\/(6\/4)*3. Let x be -1*s - 3600006\/(-3). What is x rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of -d**4\/3 + d**3\/2 - 2*d**2 + 15*d - 2. Let m(v) = -4*v**2 + 4*v - 5. What is 5*j(w) - 4*m(w)?\nAnswer: -4*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -1 - (12 - (2 + 5))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91602838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5775409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1699 - -3831. Is n a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/63*6*207\/(-6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -174.1993 rounded to one dp?\nAnswer: -174.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -56 - -86. Suppose 2*b = 3*b - 15. Calculate the greatest common factor of a and b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 3:10 PM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-180)\/126*1272\/29680?\nAnswer: -3\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -2\/103 (c) 0 (d) 0.06 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (480 - 475) + (1 - 2 - 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 834164?\nAnswer: 834162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.00077, -27, 2, 2\/9, -4\/3, 5 in increasing order.\nAnswer: -27, -4\/3, -0.00077, 2\/9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 11:23 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -77?\nAnswer: -7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -169 * -3790.\nAnswer: 640510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k + 4*k - 13*k - 6*k. Let l(b) = -2*b**2. What is l(f(v))?\nAnswer: -200*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1174.3196 and -5453.\nAnswer: -4278.6804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24356*w + 24352*w - 7*w**2 - 48708*w.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 638 - 644. Let o(j) = -2*j**2 + 60*j + 381. Let n be o(p). Which is smaller: n or -49?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1229\/138 + -202\/23. Find the common denominator of y and 117\/10.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1578 + -1575. Solve -4*c + k + m*k = 0, 5*k = -3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.4 or -4\/43?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*sqrt(288)*-2 + (-3*sqrt(288)*-2)**2.\nAnswer: 144*sqrt(2) + 10372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 126145236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4795.\nAnswer: 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x - 26. Let g(d) = 16*d - 131. Calculate -2*g(a) + 11*o(a).\nAnswer: a - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1688*g**3 + 4055*g**2 - 2*g**6 + 990*g**3 + 4 - 4 + g**6 wrt g?\nAnswer: -120*g**3 - 4188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrsyyryyysrs. Give prob of picking 2 y and 2 r.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -715*h**2 - 24310*h - 28. Calculate z(-34).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -0.079, -1\/7, -2\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-9))\/((-49040)\/11034).\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 64244957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x**3 + 85*x**2 + 740*x + 23145. Give t(-29).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddiidddddii. What is prob of picking 3 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4\/3, -0.3, 4, -0.15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5362622 and 21450488.\nAnswer: 21450488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -744635.5 and -0.3.\nAnswer: 223390.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8\/231 + -307\/11088. Let z = 427\/720 + n. Let t = -251\/11 + 23. Sort 0, t, z.\nAnswer: 0, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2\/4 - 5145*m\/2 + 30879\/4 = 0 for m.\nAnswer: -10293, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -136 - -315. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -0.0188.\nAnswer: -2.0188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4212441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1101000110101 (base 2) to base 16\nAnswer: -1a35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1208?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06526 to 3 dps.\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 4*w**2 + 2*w - 7. What is q(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - -0.09.\nAnswer: 7.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625296452 to the power of 1\/3, to the nearest integer?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 45. Is 1452\/g - (-9)\/15 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 869?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:09 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 325\/(-5)*6\/(-5) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymbybmeyzybmybeyyzkb. Give prob of sequence bbzb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3 - 474*r**2 - r**3 - 6*r + 481*r**2 + 0*r. Let b be (-4)\/14 - (-8)\/28. Suppose -5*k = -4*i - 30, 2*i = -b*i. Calculate n(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5550512 plus -40563?\nAnswer: 5509949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/5, 0, -36\/1211, -2\/7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43800 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9215 and 23765.\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1710?\nAnswer: 2, 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -89\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8357917 + -13862717. What is h rounded to the nearest one hundred thousand?\nAnswer: -5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1228639033.35612498 + -1078650401.9561258. Let o = 149988640 - w. Let b = 8.6 - o. What is b rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.072837 + 3.072837. Let g = -4.3 - -4. Put g, o, 5 in increasing order.\nAnswer: g, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -q**4 + 2*q**3 + 2851*q**2 - 6*q + 470382?\nAnswer: -4*q**3 + 6*q**2 + 5702*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y + 1. Let l(h) = -h**2 + 1. Let k(w) = l(w) - 2*m(w). Find t such that k(t) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 55*f**3 - 6*f**2 - 6*f - 1. Let h(o) = o**3 - 2*o**2 - 2*o - 1. What is 6*h(p) - 2*u(p)?\nAnswer: -104*p**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1248, -2482, -3742, -5040, -6388, -7798, -9282?\nAnswer: -10852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n - 3*n - 2 + 2*n + 11. Let p(z) = -z. Let j(g) = p(g) - t(g). Let q be j(6). Solve -2*k + 3*h - 19 = 2*k, -q*h + 23 = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 49 = 3*s + 8, 0 = 3*s - 3. Calculate the greatest common divisor of x and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulu. Give prob of sequence uul.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0476, -4.1, 4 in descending order.\nAnswer: 4, -0.0476, -4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*p + p + 8*p**3 - p**4 - 3*p as o*p**2 + z*p**3 + w + r*p**4 + y*p and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/2 - l**3 + 3*l**2 - 3*l. Let r(t) = t**3 - t + 1. Let q = 3 - 2. What is q*m(h) - 6*r(h)?\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30 and 7860.\nAnswer: 7860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000032063 to seven dps.\nAnswer: -0.0000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2088352266 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**2\/5 - 23*o\/5 + 132\/5 = 0. Calculate o.\nAnswer: 11, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 98*q - 101. Let n be r(-36). Calculate the highest common factor of 84 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.322 times 2\nAnswer: -2.644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -889*h**3 + 20059*h - 20058*h - 3873*h**3.\nAnswer: -4762*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -179.999675 + 180. Round l to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (140\/4)\/(18536\/(-34424))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*q - 62*q - 166*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -709.4*-0.14\nAnswer: 99.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j**2 - 18*j - 47. Let w be s(-3). Suppose a - 3*p - 342 = 0, a - p - w = 219. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 5. Let k be m(-3). Let b be (2\/16)\/((-111)\/(-1776)). Solve -k*v = -3*c + 7, 7*c - 3 = -v + b*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**4\/6 - 170*p**3\/3 - 6415*p**2\/6 - 10720*p\/3 - 2560 = 0. Calculate p.\nAnswer: -32, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*b + 804 = -351*b. Is -65 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j - j + 3*j + 5*j - 2*j - 2*j + 2 + 46 - 7*j - 46 + (0*j + j + j)*(-18 - 14 + 0).\nAnswer: -68*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/15)\/(1*(-7)\/21).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3230303 (base 4) to base 6\nAnswer: 154055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a decade in months?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13694191 or 68470956\/5?\nAnswer: 13694191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**5)\/(j**(-2\/11)\/j))\/(j**(-4)*j**(-4)))**8)**(-5\/4) assuming j is positive.\nAnswer: j**(-1670\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + j + 7. Let b be m(-3). Let c be b\/2*140\/(-25). Calculate the greatest common factor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6363886.8 to the nearest 100000.\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 1567*z - 1942. What are the prime factors of f(16)?\nAnswer: 2, 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*f**2*t**2*z**3 + 7*f**2*t*z**3 + f**2*z + 7*f*t**2*z**2 + 5*t**2*z + 2*z**2 wrt z?\nAnswer: -84*f**2*t**2 + 42*f**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 378871234?\nAnswer: 2, 7, 3866033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1456 and 1440712.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 2. Let c be a(-4). Factor -k**c - 1 + 0*k - k - k.\nAnswer: -(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = 5*g + 43. Is 2 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -511*c**2 - 37288*c + 1094. What is n(-73)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3 = -4*l - 1, -4*r + 10 = -3*l. Let y be 7\/(8\/4 - r). Suppose -3*d = 3*s + 9, -4*s = -y - 5. Let c(v) = -v**2 - 6*v + 7. Calculate c(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7*t + 26. Let w be d(-3). Let q(o) = 8*o - 3. Let f(a) = 0*a - 4*a + 6*a - 1. Let h(p) = -9*f(p) + 2*q(p). What is h(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/60 + r**4\/12 - r**3\/6 + 87*r**2. Calculate h(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -68*i**3 - 8*i**2 + 17*i + 24. What is the thousands digit of g(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46.71, -2, 21432 in decreasing order.\nAnswer: 21432, 46.71, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1878 and (1416\/(-4))\/(-16 + 14)?\nAnswer: 110802","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**4 + d**3\/2 - 2*d**2 + 7*d. Let f be g(2). What is the least common multiple of 5 and (-3)\/15 - f\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 10 - 1573*z**2 + 1616*z**2 - 5*z - 10.\nAnswer: 43*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**2 + 5*g - 5. Let b(t) be the first derivative of 3*t - 3\/2*t**2 + 2\/3*t**3 - 2. Give -5*b(r) - 3*z(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8513 to the power of 1\/2, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 5. Let s be b(-5). Suppose 0 = -5*c - 0 + s. Solve -2*g = c, -3*k + 2*g - 10 = k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2267946?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 234438478 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: What is 404 minutes before 9:53 PM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.545 + -2.545. Let y = 0 + -1. What is the second biggest value in t, 82, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180422 divided by 118?\nAnswer: 1529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-4 + 0 + -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14614 - 2527. Is -1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6710973139 to the nearest integer?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - 5*p)*(0 - 5 + 6)*(-4 + 3*p + 4)*(-30 + 30 + 13*p**2)*(3*p + 3 - 3).\nAnswer: -351*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2247 and 26\/147.\nAnswer: 15729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**3\/6 + 9*f**2\/2 + 238*f. Let y(i) = -i**3 - i**2. Let x be y(-1). Determine p(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3393.476l?\nAnswer: 3393476","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 22 + 9)*(-2*s - s - 3*s)*(-s - 4 + 4).\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013 a factor of 5188107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {f: 2, s: 4, n: 4}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 0 + (-1)\/(-1). Let v = 3.9 + 0.1. Let f = v + -9. Which is the third biggest value? (a) y (b) 0.1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -644822, -644820, -644818, -644816, -644814?\nAnswer: -644812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152*c - 165*c - 190*c - 174*c - 100*c + 922*c.\nAnswer: 141*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9049931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.57 * -21\nAnswer: 11.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 68. Let w = t - 21. Calculate the remainder when 78 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 12*m + 10 + 0*m**2 - 5\/3*m**3. Differentiate r(h) wrt h.\nAnswer: -10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 5. Let v(h) = 3*h + 7. Let l(a) = 7*i(a) + 5*v(a). Let o be l(-1). Let r = -29\/3 - -209\/21. Is o greater than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254722 is divided by 13965?\nAnswer: 3352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 7:09 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + 3*sqrt(1250)*1 + sqrt(1250)*2 + 5)*3*-4)**2.\nAnswer: 216000*sqrt(2) + 4505184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3*b**2 - 10*b + 6. Suppose 449*z = 308*z - 564. Let x(y) = -4*y**2 + 11*y - 7. Give z*x(m) - 5*g(m).\nAnswer: m**2 + 6*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 32ea7 (base 15) to base 3\nAnswer: 22020010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*s*z**2 - 280022*s - 5242*z**2 wrt z.\nAnswer: 4*s*z - 10484*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**4\/8 + b**3\/3 + 17*b**2. What is r(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1230517693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 3*p**3 - 18*p**2 + 27*p - 12 = 0?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 3*n**2 + 4*n - 7. Let y = -8 + 15. Let i be w(y). Suppose 5*l - 662 - i = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -485881, -485906, -485943, -485992, -486053, -486126, -486211?\n\"Answer: -6*v**2 - 7*v - 485868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -155157800 rounded to the nearest 1000000?\nAnswer: -155000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2870)\/735 - ((-195)\/(-63) - 3). Let y(u) = -1. Let q(a) = 2*a + 2. Calculate l*y(f) + q(f).\nAnswer: 2*f + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 21349, 9, -4, 1\/4 in increasing order.\nAnswer: -4, 1\/4, 9, 21349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324157697?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 - 687*u**2 - 32172*u - 31488.\nAnswer: -3*(u + 1)*(u + 64)*(u + 164)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/25334109 and 43\/5629802.\nAnswer: 50668218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 greater than 72\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.29 to 0 decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -791457 + 791370.00077. Let r = 86.943 + 0.057. Let k = o + r. Round k to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 29. What is the nearest to b in 2\/9, 0.4, 4\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -133 and 25400.\nAnswer: -3378200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 420 - 395. Differentiate 3 - 30 + 28*m + 58*m - x*m wrt m.\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22310 (base 4) to base 8.\nAnswer: -1264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjmjsnjn. Give prob of sequence nsjn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.063*-290.\nAnswer: -18.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) - 2*sqrt(2736)*-3) + 3)**2.\nAnswer: 504*sqrt(19) + 134073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 0, 22, -11, 0.1, -4627?\nAnswer: -4627","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.508769 to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 228246.8*0.3\nAnswer: 68474.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -160. Suppose 3 = -3*k - 5*r, -3*r - f = 4*k - 2*r. Is -13 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -1, 1, 3 in descending order.\nAnswer: 4, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((18\/(-33))\/2)\/((-600)\/(-800))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45893*v + 45885*v - 128 = 0 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 72 (base 16) to base 8\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 674536 and 32.\nAnswer: 2698144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 6*q - 3. Let t be y(6). Which is the second smallest value? (a) t (b) 1 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1664973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 25 = 2*i, 2*i - 6*i - 17 = -k. Let o be k\/(-9) - 44\/6. Calculate the remainder when 15 is divided by 10\/(-35) - 58\/o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10335453 divided by 39\nAnswer: 3445151\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 127 + 102 = 88*i - 35, -2*n + 7*i = 2*i - 1 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l\/((l\/(l\/l**(-6)*l*l))\/l))\/l)\/l**11)\/(l**(1\/11)*l**6) assuming l is positive.\nAnswer: l**(-67\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - 260\/(-64))\/((-2)\/(-8)). Let h be (-3)\/(-9)*(-15)\/6. What is the nearest to f in 3, 1\/6, h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 114447, 3\/2?\nAnswer: 114447","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3660)\/366 - (-776)\/78?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/24*12\/90?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 7*w + 22. Calculate the remainder when 93 is divided by p(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 (base 16) in base 7?\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 2*s**2 - 6 - s - 2*s**2 + 8. Give d(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 2*l**2 - 7*l - 8. Let c be m(-6). Suppose b - 5*b - 1480 = -4*k, 0 = -3*k + 2*b + 1113. Let s = k + c. List the prime factors of s.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -5\/2*p**3 - 1\/6*p**5 + 0*p + 0 - 25\/24*p**4 - 21*p**2. Let u(d) = 0. Calculate d.\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 12:04 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-12)\/(-3) + -1). Let w = -24 - 16. Let q = 47 + w. Solve -f*j = -q*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 28 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) - -1*-5*sqrt(171))) + (sqrt(171) - -2*sqrt(171)*3))\/((-4*sqrt(576) + sqrt(576) - sqrt(9)) + 1*-4*sqrt(9)).\nAnswer: -12*sqrt(19)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133)*-1 + sqrt(133))*1 + sqrt(133))*6*3)\/((1*sqrt(3087))\/(sqrt(81)*1 + sqrt(81) + sqrt(9))) + 2.\nAnswer: 2 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 8*q = 44, -23629 = -2*w + 2*q - 23645 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -654 - 194 = -128*i + 22*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 3*m + 5*m + (m - 3*m + m)*(2 - 5 + 5) + m - 4*m + 2*m + (2 - m - 2)*(1 + 1 + 0) + m - 6*m + 0*m + 2*m + 0*m + 0*m + (0 - 2 - 3)*(-2 - m + 2).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b - 4*h - 197 = 0, b + 93*h - 15 = 90*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 2*m + 2*o - 3*o, 0 = -4*m - 2*o - 238. Let a(v) = -v**3 - 57*v**2 - 8*v - 74. Let i be a(m). What is i rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/12)\/(1782\/32076)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 5*i = -3 - 73, -i = 2*p + 29. Let b(d) = -19*d**3 - d**2 + 1. Let s be b(1). Let f = p - s. Solve 3 = -y - f for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(152))\/sqrt(8)*4.\nAnswer: -8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 - ((1 - 3) + 44 + -57)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*v**2 + 70655*v - 3610796 wrt v?\nAnswer: 6*v + 70655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, 5, 54, -4\/7, 3.\nAnswer: -4\/7, -0.2, 2, 3, 5, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*j + 27 = 3*y - 172*j, 4*y - 56 = 6*j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**1*c**(-1\/5)*c**4\/((c**5*c)\/c)*(c**0*c)**(-8)\/(c\/c**(-1))**(-20) assuming c is positive.\nAnswer: c**(159\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/3 and 46\/4839?\nAnswer: 4839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**3 - 13*a**2 - 2*a - 36. Let n(i) = i**3 - 14*i**2 - 2*i - 35. Let t(r) = 5*d(r) - 4*n(r). Calculate the least common multiple of t(10) and 36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.3, -14, -2, -208.957, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62)\/(-155)*-2*(-1)\/4.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 1092 + 11452. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664 - 1846 + 625 + 635 + 2*m**3.\nAnswer: 2*m**3 + 78","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1625)\/(-60) + (-2)\/(-8))\/((-122)\/(-183)).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*d = -135*d - 35. Suppose -4 = 3*y - 4*y. Let b be (-2)\/2 + y - -2. Solve -15 = -d*v + b for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 11. Let w(v) = 3*v + 1 - v**l + 3*v**2 + 5 - 2*v - 4. Let o be w(3). What is the greatest common factor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + 2*s**3 - 4*s**3)*(-4*s - 3*s + 5*s) - 153*s**3 + 153*s**3 - 2*s**4.\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**3 - 194*r**2 + 35*r + 308. What are the prime factors of n(97)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1439 * 0.609.\nAnswer: -876.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7556c (base 14) to base 8.\nAnswer: -1052074","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61162918?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5644, 11293, 16942, 22591, 28240?\nAnswer: 33889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16214.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 24*w**2 - 21*w - 25. Let r be h(23). Suppose r*n - 15 = 18*n. Suppose -n*b + 356 = -b. What are the prime factors of b?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2409.8, -0.056 in increasing order.\nAnswer: -0.056, 0.1, 2409.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**5 - 36*r**4 + 56*r**3 + 8*r**2 - 60*r + 28 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840889615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 + 5 + 12)*(0*z + 12*z + z) in the form r + o*z and give o.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 28*d**2 - d + 4. Let x be k(14). What is the tens digit of (0 + 335\/x)*-6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:04 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 2 + (-2 + 2 + 2)*(5 - 5 + 2) + 2 - 1 - 3)*(-1 + 2*w + 1)*(121 + 72 + 354)*(4*w - 2*w**2 - 4*w).\nAnswer: -6564*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**2\/i**(-1\/9)*((i**(1\/4)*i)\/i)\/(i\/(i\/(i\/(i\/(i\/(i*i*i\/i**(-1)))*i)))) assuming i is positive.\nAnswer: i**(229\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)*f**(-4))\/(f\/f**1)**(-1\/3)*(f**1*f)**(-3\/2)*(f**(2\/5)\/f*f*f)\/f**(2\/13) assuming f is positive.\nAnswer: f**(-569\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p + 2*r + 172 = 0, -2*p - r = -4*p - 405 + 396 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/5, 8, -0.3, 0.7, -0.1?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2198\/225 at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79248425?\nAnswer: 5, 71, 44647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1412 by 471.\nAnswer: 1412\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 8) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.09 and -11165.\nAnswer: -11165.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 797 + 102951.\nAnswer: 103748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/69)\/(b*b**(-15)))\/(b**(4\/27)\/b*b\/((b**(1\/53)\/b*b*b)\/b)))**(32\/5) assuming b is positive.\nAnswer: b**(14578336\/164565)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, p: 9}. What is prob of sequence uupu?\nAnswer: 99\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from {a: 1, e: 2, s: 2, r: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 32 = 3*l, 0*l + l + 16 = -5*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42779 + -42783.0059. Let u = t + 0.0059. What is the third biggest value in u, -2\/3, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3.196823 days?\nAnswer: 0.456689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -5 - 7 - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - (1 - 1125\/281). Let b = l - -5331\/2248. What is the common denominator of 71\/16 and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*v - 27, -v - 3*b - 36 = -6*v. Let c be (5\/(-3))\/((-3)\/v). Solve 5*s = c*p - 30, 4*p - s + 0*s - 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + (-36)\/(-16). Suppose -g*j = -0*j - 4*a - 4, 5*j + 5*a - 25 = 0. Let q(t) = 2*t - 3. List the prime factors of q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xwr when three letters picked without replacement from {u: 2, w: 2, x: 3, r: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 248 and 558?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8697, 17365, 26047, 34749, 43477?\nAnswer: 52237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/10)\/r**(1\/5)*r*r\/(r**(-1\/4)*r*r)*r*r**(1\/15))\/(r\/((r*r**(1\/4)*r)\/r)*r**3)**(-2\/5) assuming r is positive.\nAnswer: r**(139\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgkpscka. Give prob of sequence sgk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -247\/3 - -81. Let y = -5917.5 - -5918. What is the third smallest value in j, y, -5, -4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 496 divide 11393120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*i + 16 = 4*f - 53*i - 51*i, 2*i + 6 = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - d = -3*v + 433, -4*d - 137 = -v. List the prime factors of v.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w**2 + 15*w + 15. Let k be j(-9). Suppose 63 = -3*f + k. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1305?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - p. Let r(y) = 6*y**2 - 4*y - 2. Let d(f) = 5*c(f) - r(f). Let j be d(0). What is the derivative of -q**j + 7 - 5 + 0*q**2 wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 8980850437.\nAnswer: 8980850437.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 14, r: 5}. Give prob of sequence ggrg.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3257, 5458, 7661, 9866, 12073, 14282?\n\"Answer: h**2 + 2198*h + 1058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgt when three letters picked without replacement from {b: 3, g: 2, a: 1, t: 4, h: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of -79*b**6\/6 - b**4\/4 + 277*b**2\/2 + 580. What is the second derivative of s(x) wrt x?\nAnswer: -1580*x**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2 + 2. Let n be (-55)\/25 - ((-320)\/50)\/(-8). Which is the closest to 2\/7? (a) -9 (b) 0.4 (c) n (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.5 - -36.5. Let r = -0.4 - -0.1. Which is the closest to r? (a) 0.1 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1146\/7 + 164. Let q be ((-3)\/(-2))\/(15\/10). Is h not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -22*s**3 + 34*s. Let t = -19 - -23. Let i(d) = t*d - 9*d + 2*d**3 + 3*d - d. Give -6*a(k) - 68*i(k).\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/58 and -149\/84.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18 - 2*r**2 - 527*r**4 - 18 + 2*r**2 - r**4 - r**4 + 4*r**4 + r - r + r**4 + (r**3 - 1 + 1)*(2*r + r - r) + 4*r**4 - 3*r**4 - 4*r**4.\nAnswer: -525*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-4))\/((-5)\/((-120)\/(-153)))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*n**3 - 28*n**3 - 29*n - 39*n**3.\nAnswer: -2*n**3 - 29*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*p**2 - 109*p**2 - 244*p - 108*p - 108*p - 106*p + 566*p.\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*q**4 - 3*q**2 - 11*q**4 - q**3 - 2 - 2*q**3 + 7*q**3 - q**2 to the form j*q**2 + r + f*q + l*q**4 + p*q**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 250560, 250692, 250824?\n\"Answer: 132*r + 250428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -391.8 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6998*h - 112 = -6970*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/6 - 227*a**2\/6 - 704*a + 13608.\nAnswer: (a - 243)*(a - 12)*(a + 28)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -45*d**2 + 763*d + 34. Calculate n(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 10:07 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2110.2261 and -3480?\nAnswer: 1369.7739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 38.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14922720 and 932670.\nAnswer: 14922720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 5:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4578645, -18314611, -41207899, -73258509?\n\"Answer: -4578661*q**2 + 17*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -35*a**4 - 2*a**3 - 2*a**2 - 44*a. Let t(q) = -q**3 - q**2. Let f(k) = s(k) - 2*t(k). What is the second derivative of f(u) wrt u?\nAnswer: -420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(120)*1)\/sqrt(12))\/((-1*sqrt(605) + sqrt(5))*6).\nAnswer: -sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/4)\/f*f)**(2\/35)\/(f**(-6)\/(f*f**2\/f)) assuming f is positive.\nAnswer: f**(561\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c783 (base 15) in base 6?\nAnswer: -3024040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -169*v + 166*v + 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 4*k + 5*k)*(-2*k - 3*k - 3*k + (-2*k + 5*k - 2*k)*(-2 + 1 + 2)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3368 + 3365.177. What is h rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:24 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (25\/(-225))\/(1\/(-5283))?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2168013819?\nAnswer: 3, 113, 919, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/117000 and 151\/2520.\nAnswer: 819000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (4 - -8)\/(-4). Let o(t) = 3*t**2 - t**2 - 3*t**2 + 2*t**j. Let d(k) = 8*k**2. Determine d(o(l)).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*t - 56*t - 2*f = 4, -f + 24 = 14*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 140430853 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 489*d**3 - 272*d**2 + 3*d - 6. Let y(u) = -977*u**3 + 547*u**2 - 7*u + 14. Let b(m) = 7*h(m) + 3*y(m). What is the third derivative of b(n) wrt n?\nAnswer: 2952","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*k + 104 = 54. Let z be 1\/(-3) - (-5)\/(-3). Sort -3, k, z in increasing order.\nAnswer: -3, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3899024, 3899023, 3899022, 3899021, 3899020, 3899019?\nAnswer: 3899018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = 5*s + 3*u, 2*s - 2*u - 23 = 1. Suppose s*n - 210 = 1760. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371942?\nAnswer: 2, 3, 11, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 15 = a + 2*j, -2*j = a - 5 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 132*b**2 - 5*b + 3315.\nAnswer: 264*b - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 519043?\nAnswer: 519051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1020)\/850)\/(((-148)\/20 - -4) + 3). Factor 0 + 1\/9*d**v + 4\/3*d + 7\/9*d**2.\nAnswer: d*(d + 3)*(d + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 821335.977ms in weeks?\nAnswer: 0.0013580290625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y - 17 + 3 + 17)*(6*y**3 - 33*y**2 + 33*y**2 + (2*y + y - 5*y)*(-5*y**2 + 4*y**2 + 2*y**2)).\nAnswer: -28*y**4 + 12*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 97*q + 480. Let g = -2177 - -2172. What is h(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -9*q**3 - q**2. What is the units digit of k(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 173 and 42657821.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1134)\/60)\/(-21)*2*1.\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6914660590.\nAnswer: 2, 5, 691466059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + h - 6 = 0, -h = 3*h + 8. Let w = -47 - -47. Solve x - a = -w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 1:48 PM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -5\/24*c**4 - 1\/6*c**3 + 3\/2*c**2 - 3 + 0*c. Let l(w) be the second derivative of u(w). What is the derivative of l(r) wrt r?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64572264, -64572265, -64572266?\n\"Answer: -v - 64572263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2 = -t + 6, 4*t + 3*v = -12. Suppose 0 = -5*u - t + 5. Let p be -1 + (-11)\/(-7) + -1. What is the biggest value in u, p, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 171756*u**4 - 8804*u**2 + u wrt u?\nAnswer: 4122144*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 11*i - 6*i. What is the smallest common multiple of i and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 599, 1285, 1947, 2573, 3151?\n\"Answer: -2*z**3 + 700*z - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038.5 rounded to the nearest ten?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*f - 27*f + 2*r + 7, -6*f = 3*r + 69. Let q(c) = c**2 + 1. Let y(i) = i**3 + 15*i**2 + 14*i + 11. Let p(t) = q(t) - y(t). Give p(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/3 or -54784896?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from muuuevgmug. Give prob of sequence eum.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.13593 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1938629, 1938630, 1938631, 1938632?\nAnswer: 1938633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g**6 - 94*g**4*o**2 + 2*g**2*o + 110*g*o**2 wrt g.\nAnswer: -240*g**3 - 2256*g*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**2 + 282*v + 41132. Let j be w(-106). Find g, given that 1\/3*g**j - 7\/3*g**3 + 0 - 3*g - 17\/3*g**2 = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201 (base 3) to base 13.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 3. Let n be 140\/3 + 5\/x*2. Let v = 46 - n. Let k(h) = h**3 - h**2 - 8. Calculate k(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {r: 2, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 167 (base 16) to base 15\nAnswer: 18e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000019214546 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 2.4, 0.1 in descending order.\nAnswer: 2.4, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76 - 41*o**2 - 10*o**2 - 42*o**2 + 26*o**2 - 23*o**2.\nAnswer: -90*o**2 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -11101110010011 (base 2) to base 3\nAnswer: -202220212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 + 6*f + 2. Let g be l(14). Suppose -709 = -2*n + d - 151, n - g = -d. Suppose 2*q - n = -2*q. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8024, 15507, 22990, 30473?\n\"Answer: 7483*i + 541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1331 or 1330?\nAnswer: 1331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91185, -182369, -273553, -364737, -455921?\nAnswer: -547105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 2552 = 2*j, 5*j - 3398 - 2932 = 5*u. Let o = -2299 + j. Let d = 1979\/2 + o. Find the common denominator of d and -81\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239*s**4 + s**3 - 1313*s**2 wrt s.\nAnswer: 5736*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*f + 519 - 519 to the form q*f + j and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -27*x**3 - 1086*x**2 - 11040*x - 2400 = 0.\nAnswer: -20, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 34 - 70 = 0. Calculate the common denominator of (-334)\/40 - (8 - v) and 65\/32.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 15*i - 347. Determine b(47).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -50052040 + -51?\nAnswer: -50052131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a*b**3*s**3 + a*b**2 + 2*a*s**3 - 4*a*s**2 + 87*b**3*s**3 + 272*b**3 wrt s.\nAnswer: -12*a*b**3 + 12*a + 522*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.07099683 + -0.071. Round w to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24.4 - -426.4. Let d = -409 + p. Which is the second biggest value? (a) -2 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -11 (b) 2\/13 (c) -3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -30094, -60193, -90302, -120427, -150574, -180749?\n\"Answer: -n**3 + n**2 - 30095*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + m = 2*v + 53856, m = -v + 10772. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/26235 and -97\/1056396?\nAnswer: 15845940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/((-2)\/24). Let p(y) = 2*y**2 + y - 1. Let t(n) = n**3 + 7*n**2 - 13. Let v(g) = 6*p(g) - t(g). Calculate v(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 756211 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -8. Suppose -5*g + 72 = h*g. Solve -g = 3*c + 3 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -91*w - 174. What is l(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of d**4\/9 - 412*d**3\/9 + 21218*d**2\/3 + 5*d - 22. Factor a(t).\nAnswer: 4*(t - 103)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/1363?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 - v. Let m = 0 - 0. Let n be g(m). Let x be (-3 - n)\/(3\/(-4)). Solve 5*a + 2*t - 11 = 0, 0 = -a + 3*a + t - x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3)\/u*u)**(-22)*u**6\/(u\/u**(1\/9)))\/(u\/(u*u**(-8))*u\/(u*u**(2\/3)))**36 assuming u is positive.\nAnswer: u**(-2264\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 437*r**2 + 152*r**2 - 1.\nAnswer: -285*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3924 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: Let r = 6 + -3. Suppose 0 = -2*d - r*d + u + 44, 0 = -2*d - u + 12. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -2.2. Let b = 8 + -8.1. Is g not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392903639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 12:07 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7497.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 168*b - 17 + 162*b - 17 - 9 + 29.\nAnswer: -6*b - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1525 and 775.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/(-30) - (-525)\/350?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -694*i - 20. Let a be t(5). Round a to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 100 = -16*j + 128. Which is smaller: j or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 PM and 7:14 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7616 - 7639 - (0 + (-1 - -9 - 2)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + -1 + -2*sqrt(68) + sqrt(68))**2*2 - 2*(sqrt(68) - (-2*sqrt(68) + 2))**2)*-4.\nAnswer: -192*sqrt(17) + 4920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 11 = -s + y, 2*s + 4 = y. What is the second biggest value in 1.1, s, -0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 - -229\/3. Suppose -3*j = 5*t - 0*t - 19, -4*t + 14 = 2*j. Which is the closest to m? (a) 1 (b) 0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -8. Let z = -9 + 8. Let u = 3 + -7. Put u, j, z in descending order.\nAnswer: z, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 3:04 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1006936 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-84)*35*(-5 - 78\/(-15))*109?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + 1. Suppose -h - 3*h - 4*u = 0, -3*h = -u + 4. Suppose -44*s - 101 - 119 = 0. Put s, h, f in descending order.\nAnswer: f, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/12)\/(60\/(-96)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2288 and 129896.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2516, -10062, -22638, -40244, -62880?\nAnswer: -90546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-102) - (-95)\/85)*(-30)\/(-4). Factor 75\/4 + 3\/4*a**2 + g*a.\nAnswer: 3*(a + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 78*m**3 - 290 - 54*m**3 - 145*m**3 wrt m.\nAnswer: -363*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.58782 litres in millilitres?\nAnswer: 55587.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a kilogram in grams?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048158187 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/15 and 56\/1185?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -376 (c) -0.01 (d) -4 (e) -1 (f) 132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (8 - -69) + 3 - 15\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -138718\/16425 + 2\/1825. Find the common denominator of f and 2\/(-339 + 3)*1020\/(-40).\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3143797552 to the power of 1\/2, to the nearest integer?\nAnswer: 56070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -5. Let l(t) = -t + 6. Let o(g) = -2*g + 13. Let f(a) = p*l(a) - 3*o(a). Determine f(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 - 21 = 0. Let r = s + 24. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k + 34*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 102\/(-1)*(-15 + 16). Let u be 4\/(-22) - k\/198. Factor u*x**4 - 1\/3*x**2 + 0 - 1\/3*x + 1\/3*x**3.\nAnswer: x*(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6478313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 5*l**3 + 142970*l**2 + 1064231520*l + 597116995200 = 0.\nAnswer: -13992, -610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -7 - 9\/(-3). Solve 5*l = -j - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 - 7.8262264.\nAnswer: -7.7362264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - u + u)*(2*u**3 - 5*u**3 + 2*u**3) - 345*u + 303*u**5 + 345*u.\nAnswer: 302*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 367435984?\nAnswer: 2, 19, 257, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 321948 is divided by 64357?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*j + 8, -3*p + 7*j = 2*j - 10. Suppose -l + 1 = 2*u, 13 = 2*l - p*l + 2*u. Let n = -1 - l. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1302 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 110521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -290*j - 12. Let i be f(9). Let v be i\/18 - 4\/12. Let z = -60 - v. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-2 + (sqrt(2) - 2*sqrt(2)))**2 + sqrt(2))*3 + -3)*6.\nAnswer: 630 + 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -124*z + 119*z + 2110. Is z a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 plus 3.156?\nAnswer: 59.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**4*v + 9*g**4 + g**3*v**2 - 2*g**3 + 4*g**2*v**2 + g + 49*v**2 + 99 wrt g?\nAnswer: 96*g*v + 216*g + 6*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1046 (base 8) to base 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j = j + 70. Suppose -168 - 252 = -j*d. Is d a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5281 at least as big as -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -2 - 0) + 6. Suppose 3*i = -4*x + 265, d*x - i - 43 - 159 = 0. Is 18 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49 (b) -4 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -0*u + 29. Let h be u\/(-28) + 1\/4. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s = 40. Let d = -5 - s. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2219*d = -2150*d - 1725 for d.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -439 (b) -10\/9 (c) -5955 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h = 17*h + 27*h - 510 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 2 - 8. Suppose r = -g*r + 12. Suppose r*d + 0*d = 0. Solve -2*t = 4*a + 8, -a + 6*a + 15 = d for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 + 1101000100010111011?\nAnswer: 1101000100011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -501, -4, -2184?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 74 - 66 = 0. Let g be -9 - a - (-6 - -1). Factor g*c + 2\/11*c**2 - 2\/11.\nAnswer: 2*(c - 1)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 0.2 (b) -2 (c) -5 (d) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1189086*s**6 - 125*s**2 + 226*s + 1 wrt s?\nAnswer: -142690320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 38008043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/93)\/r**(-21) assuming r is positive.\nAnswer: r**(1951\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 3. Calculate h(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (3 - -1) - -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of 0*h**5 + 1\/15*h**6 - 80*h + 0 - 1\/3*h**4 + 0*h**3 + h**2. Factor z(x).\nAnswer: 2*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*o - o. Let l = -2091 - -2091. Factor -8\/5*j**o - 7\/5*j**3 + l - 1\/5*j.\nAnswer: -j*(j + 1)*(7*j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 7*p**2 - 19 + 7*p + 0 - p**3. Suppose 0 = 44*h - 41*h + 30. What is the tens digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (6 + -6) - -6 - 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396891 is divided by 1378?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-11)*(1\/(-3))\/((-12)\/(-198)).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2530227 is divided by 2530218.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1606 or 79034?\nAnswer: 79034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2224, 0.2, -26, -2\/7?\nAnswer: -2224","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, 1\/6, -0.8, -3\/185, -1, -37, 4?\nAnswer: -3\/185","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393.4499 litres to millilitres.\nAnswer: 393449.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13202 = -8*j - 6*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*h = 418*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**2 + 2*i**2 - 92*i**2 + 88*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 - -3. Suppose -6 = 3*s + s - 3*l, -2*l + 4 = 4*s. What is the nearest to s in 4, y, 0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270209814 by -3.\nAnswer: -90069938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 2:46 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 72727536 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 10*f**2 - 9*f + 3. Let g be m(-9). Solve -s = -g*v - 10, -v - 12 = v - 2*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54909, -219643, -494205, -878595, -1372813, -1976859?\nAnswer: -2690733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 86206068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 557*h**3 + 569*h**3 + 556*h**3 + 2 - 1708*h**3 - 2.\nAnswer: -26*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 0 = 1297*r - 1376*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*2*(-1)\/(-6)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*64\/432*(-3)\/22\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*v - 187 - 1066 = 0 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.7123 hours to milliseconds.\nAnswer: 258164280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15205?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112913616.\nAnswer: 2, 3, 131, 17957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 60066765?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -36, 1765, -11 in ascending order.\nAnswer: -36, -11, -1, 1765","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x - 2 + 1 - 7*x. Let n(o) = -o**2 - 6*o - 4. Let y be n(-5). Suppose f - 2 + y = 0. Determine r(f).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60830 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w. Let t(n) = 15*n**2 + 22*n**2 + 17*n**2 - 69*n**2. Give c(t(y)).\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -57390 divided by 4\nAnswer: -28695\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -463129 or 43?\nAnswer: -463129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0608, 5, -2\/13, 13, -0.1 in increasing order.\nAnswer: -2\/13, -0.1, 0.0608, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 771406 less than -0.0335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.095 and 40.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 9:17 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 463029 - 463029.600006. Let y = -0.6 - -1.2. Let i = l + y. What is i rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 - 26351870998.\nAnswer: -26351870982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 123*b**2 + 475*b + 17672. Give h(-60).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 123412 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 468 in 141, -1\/2, 3?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 5*f**2 + 2*f - 5. Let p be (-7)\/(-9) + 6\/27. Let o be 2\/4*2 + -3. Let d be -3*p - (-1 - o). Determine x(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2983140 divided by -2\nAnswer: 1491570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 141*s + 138. Let f be m(-1). Let i(c) be the first derivative of 11*c**3 + 3*c**2\/2 + 5*c + 1. Is i(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*3\/(-168))\/(4\/(-14)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*z = -54*z - 2254. Calculate the greatest common factor of z and 105.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**2 - 21*b + 6. Let q be y(11). Let l(a) = -a**2 + 19*a - 34. Let v be l(q). Solve v = -4*c + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33550 rounded to the nearest 1000?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of d**4\/2 + 8*d**3\/3 - 315*d**2 + 3564*d - 10808. Factor i(u).\nAnswer: 2*(u - 9)**2*(u + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i + 5. Let o(n) = 1. Let v(w) = -3*b(w) + 21*o(w). Let u be v(-6). Suppose -5*g - 5*f + u = 0, -5*g + 18 = f - 42. Solve 5*a - a = g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + b + 0)*(b**2 - 2*b**2 - 2*b**2)*(-10021 - 83*b + 10021).\nAnswer: 249*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1896 and 22515?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -128 + 230 - 112 + 18*s - 605*s**2 wrt s?\nAnswer: -1210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 + 4*k**2 - 6*k - 1. Let s be n(-5). Let l(w) = 6 - s - w**2 + 2. Let f = 1 - 4. Determine l(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6057 + 6144. Solve -96*f + z*f - 18 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z + 50*k = -94*k + 149*k + 165, 0 = 2*z + 5*k for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1098, 4411, 9934, 17667, 27610, 39763, 54126?\n\"Answer: 1105*x**2 - 2*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.14 or 2\/643?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 91684627 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6))**(-4)\/(r**(3\/4)\/r)**13 assuming r is positive.\nAnswer: r**(109\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 6*i**2 + 8*i - 8. Let o be f(7). Let h(w) = 90*w + 0*w**2 + 0*w**2 - 88*w + 1 + 5*w**2. Let l be h(o). Solve -l*a = -5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 100527708, 100527709, 100527710, 100527711?\n\"Answer: l + 100527707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-4*(-22)\/(-8)))\/(112\/(-154))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 37. Let a be v(8). Suppose -3*j + 32 + a = 0. Suppose 0 = -20*c + j*c + 15. Solve -c*t - 15 = -8*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -o**4\/4 - 5*o**2\/2 - 4*o - 5. Let x be p(-3). Let t = 87 - x. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 5854, -979.\nAnswer: -979, -1, 3, 5854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -532a - -5012?\nAnswer: -318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - 0.28. Let c = 0.7 - p. Let k = 161.5 - 162.5. Which is greater: k or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 1. Let u(j) be the second derivative of -j**5\/5 - 3*j**2\/2 - 28*j - 31. Give 4*o(v) + u(v).\nAnswer: -8*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**3\/6 - 2*d. Let p(t) = 9*t + 2. Let s(o) = -6*i(o) - p(o). What is the units digit of s(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 + 0.67723623429.\nAnswer: 1.37723623429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (18\/4)\/((-15)\/(-10)). Suppose -i - 435 = -4*i + s*f, 3*i - 5*f - 439 = 0. Calculate the remainder when i is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k. Let x(l) = -1. Let b(d) be the second derivative of d**2 - 1\/6*d**3 + 0 + 17*d. Let a(t) = 3*b(t) + 6*x(t). Give i(a(h)).\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 386, -530\/7, 5, -5?\nAnswer: 386","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1265 + -1303.68. Let z = 37 + s. Let j = 0.68 + z. Put -2, j, 0 in ascending order.\nAnswer: -2, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u + 4. Let t be k(3). Let p be (t\/(-1))\/(2\/4). Calculate the remainder when 26 is divided by 1\/(-4) - (-29)\/p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-26)\/((-2496)\/(-880))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnwnnnznnwzn. Give prob of sequence nwww.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((26\/832)\/(1\/4))\/((-2)\/(-48)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -8. Suppose 3*m - 4 = 5*j - j, -3*m = -k*j - 8. Let q = j - -15. What is the remainder when 21 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*h - 2*l - 47, -6*l = -362*h + 266*h - 1314 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.871 and -40.\nAnswer: -40.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*l**5 - 1722*l**4 - 91*l**3 + 4447197*l**2.\nAnswer: -360*l**2 - 41328*l - 546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-19)\/4)\/((-2)\/8). Suppose 4*f + f - 2*q = 26, -4*f + k = -q. Solve f*o + 3 = 11 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r + 11. Let x be w(6). Suppose -3*g = -3*o - 6, -x*g + 0 = -10. Which is bigger: -1\/5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-6)\/(-4 + 1)*8. Let g = f - 29. Calculate the smallest common multiple of g and 13.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k**2 - 10206*k + 64591?\nAnswer: 4*k - 10206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*f**4 + 3287128*f**3 - 47874824 wrt f?\nAnswer: -8*f**3 + 9861384*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 184, 182, 180, 178, 176, 174?\n\"Answer: -2*q + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81355.3 - -81355.31200114. Let w = q - 0.012. Round w to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-4 - 0)) + 6 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 - j**2 - 13*j - 27. Let t be i(5). Calculate the highest common divisor of 6 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-1 - -4) - -4) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {k: 2, b: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 34 = 7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 6*g + 26 = 3*k, 4*k + 7 = 3*g. Solve 2*b = -i - 6, -5*i = -2*i - k*b + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2 + 6. Let w be (15\/3 - 1) + x. Which is the closest to 1? (a) 2 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238220 and 165.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2103313232 (base 4) to base 7\nAnswer: -5101553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -285.57 + 891.518. Let n = y + -601. What is n rounded to one decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 562890 divided by -56289.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55.7 + -0.7. Let c = 54.917 - j. What is c rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5762620049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093102 to seven decimal places.\nAnswer: -0.0000931","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2774 and 6278.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*y, -2*z + 3*y = 2 - 7. Calculate the remainder when 9 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 2015.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 423 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4435 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*v - g + 13, 0 = -5*v - 2*g + 11 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.5 + 4.88. Let a = 3.38 - w. What is the smallest value in a, -1\/4, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -295\/4 - -74. Let w(f) be the second derivative of 1\/6*f**3 - f + 3\/20*f**5 - 1\/30*f**6 + 0*f**2 + 0 - u*f**4. Factor w(d).\nAnswer: -d*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*o + 2*o**2 + 246*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273856 and 5280.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from pukdcuucudxdxd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - d**2 - d + 1. Suppose -7 = -2*a + 3*m + 3, -4*a = 4*m. Let h(p) = p**3 + p**2 + 3*p - 7. Let r(q) = a*k(q) + h(q). Calculate r(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (42 + -39)\/((-1)\/44*-2). Let q = 70 - u. Suppose 0 = -2*t - 1 + 9. What is the highest common divisor of t and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**4 + 1370*c**2 - 7397*c?\nAnswer: 12*c**2 + 2740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4482b (base 12) in base 11?\nAnswer: 62447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, v: 9}. Give prob of picking 4 d.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the third derivative of -h**6\/90 + 2*h**5\/9 - 23*h**4\/18 + 28*h**3\/9 - 30*h**2. Factor s(i).\nAnswer: -4*(i - 7)*(i - 2)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/78*208\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2. Let j(c) be the second derivative of 11*c**4\/12 - 27*c + 2. Give j(v(g)).\nAnswer: 11*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {w: 1, c: 4, s: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 7, e: 4}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (1 + 7)*-1. Is (26\/4)\/(4\/k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -516066 (base 9) to base 3.\nAnswer: -120120002020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:52 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 116342923.0000007 + -116342905. Let w = 18 - n. Round w to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*r + 2*r = 1530, 1538 = 2*a + 2*r. List the prime factors of a.\nAnswer: 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 3, -0.1, 8, 0.6?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times 16\nAnswer: 0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -3. Let u(l) = 3*l**2 - 3*l + 3. Let j be u(c). Let g = -1190 + 1224. Solve -5*b = -j + g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -113*t + 1. Let y(s) = s - 2. Let u be y(3). Let c be f(u). Let n = c + 211. What is the highest common divisor of 9 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 4*j - 53. Let d(w) = 1. Let b(h) = -a(h) - 2*d(h). Differentiate b(r) with respect to r.\nAnswer: -3*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 + -22. Suppose 3*l - 3*a - 99 = -p*l, 0 = 3*l - 2*a - 96. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54954701?\nAnswer: 6719, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -63.1 take away -1393276.1169?\nAnswer: 1393213.0169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -775 = -3*g + b + 63, -g + 276 = -2*b. Suppose -g = -4*s + 472. List the prime factors of s.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g + 3. Let f = 0 + g. What is the lowest common multiple of 2\/(-3)*18\/(-3) and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 97 (b) 3\/4 (c) 579.56\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0181 > 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3265095, -6530193, -9795291, -13060389, -16325487, -19590585?\n\"Answer: -3265098*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/9)\/((-1)\/6). Let g(f) be the first derivative of 3\/2*f**x + f**2 + 8\/3*f**3 + 2 + 0*f. Factor g(l).\nAnswer: 2*l*(l + 1)*(3*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 5*k**3 + 110*k**2 + 525*k + 720 = 0.\nAnswer: -16, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from bmzibizibiiibiiq?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2514 - 1775. Suppose 2*g + 546 = 3*v, -4*v - g + w = -0*v. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 2\/3*d**3 + 2 - 2*d + 5\/2*d**2. What is the remainder when 18 is divided by j(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1304 and 147352?\nAnswer: 147352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/(-6)*1)\/(-1). Which is the second biggest value? (a) -0.1 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4911\/40 - 1047\/8. What is the common denominator of -81\/28 and p?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 5*y**2 - 2. What are the prime factors of d(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {s: 2, g: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + -3089 + 3070?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*x - 26*x + 856 - 6*x.\nAnswer: 12*x + 856","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1448*r**3 - 1267*r**2 - 1267*r - 1267. Let l(a) = a**3 - a**2 - a - 1. Calculate 2534*l(d) - 2*m(d).\nAnswer: -362*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 504. Suppose -4*n = 2*v - 830, n + 2*n + z = v. Let a = v - 18. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1 (b) -2\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -12941, -10, -6 in descending order.\nAnswer: 4, 0, -6, -10, -12941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -740 - -682.9. Let w = t + 57. What is the smallest value in w, 14, -2\/3, -1\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-84)\/10*-3*5. Suppose -28*l = -21*l - 98. What is the greatest common factor of w and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -10422531, -20845066, -31267603, -41690142, -52112683, -62535226, -72957771?\n\"Answer: -a**2 - 10422532*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/2 + (34 + -8)\/13\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o + 14 = -o - 4*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 5*m**2 - 1800*m = 0.\nAnswer: 0, 360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2)*s*s*s*s\/s**(-4\/9)*(s**(-10))**(-1\/2) assuming s is positive.\nAnswer: s**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6) + 91\/39. Suppose -11*f**3 + 39*f**3 + 490 - 10*f**2 + 385*f - 23*f**3 + 90*f**s = 0. Calculate f.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8 + ((-9200)\/(-500) - (-2 + -1 + -1)). Factor y - 192\/5*g**2 + 20*g + 4*g**3.\nAnswer: 4*(g - 9)*(g - 1)*(5*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + (-202)\/18. Let p = 24 + -14. Let j = s + p. Sort 2\/15, 4\/7, j in decreasing order.\nAnswer: 4\/7, 2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t**5\/4 - 167*t**4\/4 + 133*t**3\/2 + 55*t**2 - 54*t = 0 for t.\nAnswer: -1, 0, 2\/3, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194258463 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (74\/(-1295))\/((-4)\/140). What is t in 5\/3*t**3 + 3*t**c + 1\/3*t**4 + 2\/3 + 7\/3*t = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {f: 1, r: 1, y: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 472263 + 472259 - 180*x**3 - 944523 to the form o*x + t*x**2 + p + j*x**3 and give j.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 192002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 11 + 2)*(-5*i**2 - i**2 - i**2) + (2 + 0 - 1)*(0 + i**2 + 0) - 150 + 150 - 15*i**2.\nAnswer: 84*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 484658?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 2:51 PM?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 1:27 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7535285?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -10*n**2 + 7*n**2 + 8*n**2. Let l(v) = 5*v**2. What is p(l(m))?\nAnswer: 125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -954.473 and -0.052.\nAnswer: -954.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 10. Let d be (20\/5)\/(4\/(-14)). Let h be g(d). Suppose -h*f + 37 = 5. Calculate the remainder when 23 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8411737 and -24\/3223.\nAnswer: 92529107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 95\/7 - 6\/(-14). Let p be 384481\/11676 - 6\/i. Let n = p + -1\/1668. What is the common denominator of n and 65\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2000) + -6*(sqrt(2000) + (sqrt(2000) - (sqrt(2000)*-1 + sqrt(2000)))) + sqrt(2000) + sqrt(2000))\/((2*sqrt(110)*-4)\/sqrt(11)))**2.\nAnswer: 2025\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 855 is divided by 658?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -54 - -51. Let h be (-9 + 2)\/(c - (-138)\/45). Let w = 109 + h. Calculate the remainder when 19 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.5. Let j = -6288.01 - -6288. Put 1\/8, -4, j, i in descending order.\nAnswer: 1\/8, j, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 736 and 1541 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -15*p**2. Suppose -4*t = 5*x + 97, -5*t = x - 13 + 108. Let s(h) = h**2. Give t*s(a) - m(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31148, -62232, -93204, -124010, -154596?\nAnswer: -184908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*b + 670*b = -1000 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 33*j**2 - 108*j + 27 = 0.\nAnswer: 3\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -153\/138827 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -785, -770, -731, -668, -581, -470, -335?\n\"Answer: 12*l**2 - 21*l - 776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 35 = 7*k. Let a(b) = b**3 + 8*b**2 - 7*b - 5. Let t be a(k). What is the highest common divisor of 42 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 771683 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: What is 0.000009185897 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4*c = -129, 5*c + 51 + 79 = 5*x. Let f = -582 + 607. Is f < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 5)*-1 + -1. Let y be 344\/(-28) - w\/(-14). Let k(p) = p**3 + 12*p**2 - p + 3. Let q be k(y). Calculate the highest common factor of q and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -459.77 + 431. Let m = 0.23 - i. What is the biggest value in 1\/5, m, -1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 10998*a - 8733*a + 24993*a - a**3 to w*a**3 + k + f*a + v*a**2 and give f.\nAnswer: 5262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000659666355 rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/20*6*(-6)\/(-18)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 953406210 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 625382680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12656 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-196) - -11*2\/7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 26 and 684438.46.\nAnswer: 684464.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 g when two letters picked without replacement from gin?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbw when three letters picked without replacement from wkkqmmb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.095824 - 1940553.1.\nAnswer: -1940553.004176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12\/283 or -39?\nAnswer: -12\/283","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 92074 - 44174. What is c rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-5)\/(-10))\/(2\/764).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 48.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/11 + 444*d\/11 - 446\/11 = 0. What is d?\nAnswer: -223, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 3 (c) 17199.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 5\/5061?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 58*j**2. Let o(x) = -186*x**2. Give v(o(z)).\nAnswer: 2006568*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7162.\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 467 (base 13) to base 10\nAnswer: 761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 661019 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 54. Let v be -4 + 72\/u + 0. What is the smallest value in v, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*b = 210*b + 3. Solve 0*i + b = -i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126479 is divided by 12192?\nAnswer: 4559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 <= -13142776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2 - 19*x + 9. Let q(d) be the second derivative of d**4\/12 - 5*d**3\/3 + 5*d**2\/2 + 724*d. Give 4*o(h) - 7*q(h).\nAnswer: h**2 - 6*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5 + 3 - 2 - 2 + (5 - 3 - 4)*(3 - 3 - 2) - 3 + 1 + 5)*(0 + 0 - u**3) + 3*u - 1 - u**3 + 1.\nAnswer: -6*u**3 + 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 15*v + 17. Let l(q) = -7*q - 8. Let j(n) = 13*l(n) + 6*o(n). Calculate j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/(-6))\/(5\/75). Suppose -32 + v = 3*b. What is the units digit of 3*((-24)\/b - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 4*a + 6 = 0, a - 29 + 33 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1088601800 is divided by 4171?\nAnswer: 4168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -371 + 374. Sort -8, 4, g in decreasing order.\nAnswer: 4, g, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o + 7. Let f = 7 + -13. Let a be y(f). Round a to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*s**2 + 30*s**2 + 4 - 35*s**2 - 26*s in the form i + v*s**2 + y*s and give y.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + r - 1. Let q(l) = 50*l**2 + 10*l - 10. Suppose 6*m = 11*m + 50. Let g(u) = m*v(u) + q(u). Let n(b) = 2*b**2. What is n(g(i))?\nAnswer: 3200*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6670746\/451 - 14791. Calculate the common denominator of 24\/121 and l.\nAnswer: 4961","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 12*t**3 - 9*t**3.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -8, -11, -14, -17?\n\"Answer: -3*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1169*l**2 - 2658*l + 172905844.\nAnswer: -2338*l - 2658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -153*d + 370. Is i(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 67*u**2. Let p(q) = -21*q. Determine p(d(m)).\nAnswer: -1407*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 20 = 5*r + 3, 10 = 2*r. What is the lowest common multiple of -6 - o - 1*9\/3 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 65*q - 3061. Determine f(55).\nAnswer: 514","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -i**3\/6 + i**2. Let f(p) = 2*p - 4. Let h(v) = f(v) - 4*y(v). Let j(c) = 8*c. Calculate j(h(b)).\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-9)\/(-16))\/(150\/40).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7183 - 7187. Let m be (3\/(-9))\/(5\/(-2)). Let d = 7 + -5. Put d, l, m in ascending order.\nAnswer: l, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44172 is divided by 5494.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-3)*(-3)\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.88 rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 d when three letters picked without replacement from hddhhdqd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z**(-15)\/z))\/z*z*z)\/(z**(-15)*z)*(z\/((z*(z\/(z*z**1))\/z)\/z))**(-50) assuming z is positive.\nAnswer: z**(-117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 take away 0.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3630*k + 32209*k + 41*k.\nAnswer: 28620*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + 3 + sqrt(171)\/sqrt(225) + sqrt(19) + (sqrt(19) + -2 + 4 - ((sqrt(1216) - sqrt(19))*-3 - sqrt(19))))**2.\nAnswer: 352*sqrt(19) + 589169\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j*j**(-3))**(3\/11) assuming j is positive.\nAnswer: j**(3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. What is the third biggest value in o, -5, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47035891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - (-2 + 4)) + -2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 - 21.7.\nAnswer: -31.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 27. Sort s, 3, -1 in descending order.\nAnswer: s, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 2*l + 1. Let u(f) = -105*f**2 - 31*f - 274. Let i(o) = -3*q(o) + u(o). Let p be i(-11). Round p to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - 1 - (17 + -21). Suppose m*s - 2*v - 54 = 0, -4*s - 3*v = -v - 102. 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 biggest value in -8, 173, -1\/179?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 36, 70, 102, 132, 160?\n\"Answer: -o**2 + 37*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*y - 13 = -4, 5*t + 3 = -y. Let s be 1\/(0 + -1 + 2) + t. What is the first derivative of 7*b**2 + 7*b**2 - s + b**2 + 8*b**2 wrt b?\nAnswer: 46*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3734 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 78. What is the greatest common factor of q and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*q + 3. Suppose q*a = 2*a + 33. What are the prime factors of a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46\/225 - 293\/1800. Let i(w) be the third derivative of 0 - 25*w**2 - a*w**4 + 0*w - 4\/3*w**3. Give i(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 143 = 53*v - 50*v, -3*v + f = 139 for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - 2*s - 1 - 1, 0 = -3*k - 5*s - 5. Let b = k - 0. Solve 3*i - 4*l - l = 11, 4*i - 3*l = b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1760989 is divided by 440246?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0611*-163334\nAnswer: 9979.7074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6357157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 1. Suppose n*v + 14 = v. What is the units digit of (-4)\/v + (-120)\/(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -35*i**4 + 2850*i**3 - 625289?\nAnswer: -140*i**3 + 8550*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/112)\/(2\/(-419652)). Let i = j - -7498. Find the common denominator of (-24)\/44 - (-4071)\/990 and i.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 13381636?\nAnswer: 13381639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5*p + 4. Let q(i) = -14*i + 11. Let s(l) = -4*q(l) + 11*t(l). Let d(b) = -10*b**2. Give s(d(z)).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -24649*h - 98621. Give i(-4).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465769.\nAnswer: 29, 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14507811 to the power of 1\/3, to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (924\/(-275))\/((-4)\/10)*(-2190)\/(-292).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 33.83.\nAnswer: -101.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1087 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5231*a**2*c**2*w**3 - 3*a**2*c - a*c**3*w**3 - a*c**3*w**2 - 2*a - 495*c**3*w wrt w.\nAnswer: 31386*a**2*c**2 - 6*a*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 14. Let p(g) = -17*g + 2. Let y(a) = -31*a + 1. Let u(k) = -9*p(k) + 5*y(k). Determine -3*q(l) - 4*u(l).\nAnswer: 2*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(136) - sqrt(136)*1) + sqrt(136) + -3*sqrt(136)*-4)\/(5*1*sqrt(1152)*5).\nAnswer: 13*sqrt(17)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of -q**2\/2 - q - 1. Let z be f(-5). Suppose -z*m + r + 1009 = -311, -4*m + 2*r = -1316. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -15) + -9 + 0?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.03 - 0.07. Let g = 3.1 + m. Which is bigger: g or 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 46 = 3*r, 7*r - 4*r = -6. Let q be 29\/(-10) - 24\/240. Let y = t - q. Calculate the least common multiple of y and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34, -33, -30, -25, -18, -9?\n\"Answer: p**2 - 2*p - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592 divided by -37.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (170\/2)\/(2\/6). Suppose 5*k = -5*t + v, 5*k - 93 - 172 = -3*t. Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a decade in months?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + (-1 - -1 - -6). Let i(x) = x**3 - 3*x**2 - 5*x + 3. Let c be i(d). Which is greater: c or -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -726?\nAnswer: -728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of 2*v**6\/3 + 2*v**3\/3 - 23*v**2\/2 + 22. What is the third derivative of x(c) wrt c?\nAnswer: 240*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i - 1. Let u(v) = 928*v + 224. Determine 448*d(y) + 2*u(y).\nAnswer: 64*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from geeegezzgeg?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m + 4 - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 630*k. Let v(i) = -8*i. Determine 102*v(h) - 6*w(h).\nAnswer: -4596*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 46844 and -0.1009627173.\nAnswer: 46843.8990372827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10912\/9 + 241027\/198. Calculate the common denominator of a and 3\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111541139 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*x, 0*x - 3*n = 2*x. Suppose x = 2*f - 0 - 2. Let p(d) = 73*d + 660. Let c be p(-9). Sort f, 0.1, c in decreasing order.\nAnswer: c, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, 0.2, 0, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 828693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + -7205?\nAnswer: -7175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-234)\/621)\/26)\/(4\/12).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19950.\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(343) + -2 + ((1*sqrt(56))\/sqrt(8) - sqrt(7)) + (1*sqrt(63))\/sqrt(9)*-3) + -3)**2*1.\nAnswer: -520*sqrt(7) + 2969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f*f\/f**(-1\/16)*f)\/f*f)\/f)\/f**(-23\/3)*((f\/(f*(f*f\/f**(1\/3))\/f*f))\/f)\/f**(2\/7) assuming f is positive.\nAnswer: f**(983\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 + 0)*(2*z - 1 + 8 - 3).\nAnswer: 6*z + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 + 2*t**2 + 2 - 4. Let y be s(2). Solve j + 0*h + 3*h + 2 = 0, j + 2*h + y = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 212 - 128. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.051 + -57782.\nAnswer: -57782.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*m**2 - m + m)*(-4 + 5 + 5 + (1 - 6 + 4)*(-1 + 1 + 1)).\nAnswer: 70*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-1 - ((3 - 11) + 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -405867871 bigger than -405867871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -1 + 2 + -17 + 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 23 = 3*h, -5*h + 30 = 5*a - 10. Suppose -3*o + 6*o + 24 = 0. Let v be (-1 - 1)*180\/o. Calculate the highest common factor of v and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5\/3 + 16152*s**4 + 339378*s**3 + 2618532*s**2 + 8729208*s + 10475568 = 0. Calculate s.\nAnswer: -6, -3, 24249","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 57064742463 and -0.2087.\nAnswer: 57064742462.7913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1206.3 - -1205.3. Which is the closest to y? (a) 34 (b) -1 (c) -2 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 4*o - 5088, -30*o + 4*z + 1254 = -29*o. What are the prime factors of o?\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*m - 2*m + 36. Find the first derivative of 30*g**4 - m*g**4 + 129*g**2 - 129*g**2 - 56 wrt g.\nAnswer: 104*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/48535 + 6290147\/533885. Let j = 58\/5 - q. Which is smaller: j or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -208 + 213. Solve -w = g*w + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -284*f = -16331 + 7243 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 50389, 95834, 141279, 186724, 232169, 277614?\n\"Answer: 45445*i + 4944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 20*f**2 + 2. Let g(j) = -759*j**2 - 77. What is -2*g(n) - 77*w(n)?\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -2, -1, 0 in decreasing order.\nAnswer: 0, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 99.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -10*k**3 + 5*k**2 - 5. Let t(f) = 9*f**3 - 4*f**2 + 4. Suppose -b + 18*b = -3944. Let a = -227 - b. Calculate a*t(g) + 4*w(g).\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 10:35 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -292, 1\/2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -245*a**2 + 33. Let r(w) = 10*w. Give r(v(i)).\nAnswer: -2450*i**2 + 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09263398143 to 3 dps.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b + 2237 = 5*f, -4*b = 2*f - 886. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48710213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 57\/9 + -2 - (-4)\/(-12). Suppose -l*q - 38 = -d - 9*q, -2*d + 52 = 4*q. What is the highest common factor of 63 and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/11*(8\/6)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1793 by 24.\nAnswer: 1793\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17805 is divided by 5911?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13555998*m**3 + 14*m + 2381594 wrt m.\nAnswer: -81335988*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 - -39. Let n = z - 15.8. Which is smaller: n or 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9*m + 2 + (6 + 0 - 4)*(0*m - m + 2*m) + 2*m - 3*m + 3*m)*(-14*m**4 + 31*m**4 - 15*m**4 + 10).\nAnswer: 26*m**5 + 130*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5332, -21336, -48042, -85450, -133560, -192372, -261886?\n\"Answer: -5351*f**2 + 49*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from {s: 11, v: 1, e: 2}?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5 + 15. Suppose -4*y + 18 = -3*j, -4*y + 30 = -m*j - 2*y. Let b(s) = 9*s - 4. Let c(p) = 8*p - 3. Calculate j*b(a) + 7*c(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 23 = -5*d, k - 15 = -k + d. Calculate the remainder when k is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-4)*p*(p*(p**4\/p)\/p)\/p)**(-1)\/((p**(1\/3)*p**(1\/4))\/(p\/(p*p**0\/p*p))**(-2\/73)) assuming p is positive.\nAnswer: p**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*sqrt(44)\/(-4*sqrt(144) + sqrt(4)))**2.\nAnswer: 396\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207 by -301.\nAnswer: 207\/301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdvgx. Give prob of sequence dv.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -20, 119368?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-33)\/(b*b*b**(3\/4))*(((b\/b**(1\/19))\/b)\/b)**0 assuming b is positive.\nAnswer: b**(-143\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 5*o**2 - 34*o - 149. Calculate n(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -303, -2152, -6971, -16182, -31207, -53468, -84387?\n\"Answer: -237*p**3 - 63*p**2 - p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Let d = -32.7 - -34. Let a = d - 0.3. What is the closest to a in 0, v, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3367952*b**3*g*x**2 - b*g*x + 9*g*x**2 - 10*g*x - 8*g - x**2 + 670*x - 5 wrt b?\nAnswer: 10103856*b**2*g*x**2 - g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9855005)\/(-3) - (-300)\/(-180). Round h to the nearest one hundred thousand.\nAnswer: 3300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 139.1 - 145.89. Let d = p + -0.21. Let c = -1.2 - -0.2. Which is bigger: d or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721957 to the power of 1\/2, to the nearest integer?\nAnswer: 850","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 10:49 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11285707366 take away 253?\nAnswer: -11285707619","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:59 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 0.3, -0.42, 4, -0.2 in descending order.\nAnswer: 4, 0.3, -0.2, -0.42, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.6188m in millimeters?\nAnswer: 515618.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1884546248?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.8 + -3.8. Suppose 5*z = 26*w - 27*w + 12, 2*w = -3*z - 4. What is the biggest value in p, z, 0.4, 2.7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 233469846 and 155646564.\nAnswer: 466939692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 195*v + 1. Let s(q) = 2*q. Give -m(r) - s(r).\nAnswer: -197*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, y: 3, u: 2, g: 1, e: 1, i: 9}. Give prob of picking 1 g, 1 y, 1 q, and 1 i.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (-53)\/((-265)\/50). Let k = -12\/17 + 142\/153. Which is the closest to -14? (a) t (b) k (c) 1\/6 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -25. Let b = -31 + y. What is the second biggest value in b, 3\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 214689 at least as big as 214690?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1858.949um to centimeters.\nAnswer: 0.1858949","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (105\/(-30))\/(12\/(-8) - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34794944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -18952449, -0.7 in increasing order.\nAnswer: -18952449, -0.7, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6266486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2604755 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1541 = -h - 1218, -1106 = -2*f - 2*h. Is 69 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*j**3 - 2*j - 2*j**2 + 30\/7 = 0. What is j?\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**0\/s**(-13\/5) assuming s is positive.\nAnswer: s**(13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 273.71, 0.3, -1 in decreasing order.\nAnswer: 273.71, 0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 6*z + 5. Let u be n(-5). Suppose 8*o + u*o = 552. Let g = 109 - o. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15b12 - 4?\nAnswer: -15b16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279, 219, 103, -81, -345, -701, -1161, -1737?\nAnswer: -2441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -79*h**3*k - 279*h**2*k**2 + 2139*h**2 - 92020*h*k**2 - 190*h wrt h.\nAnswer: -474*h*k - 558*k**2 + 4278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 234124, 936441, 2106972, 3745717?\n\"Answer: 234107*d**2 - 4*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/472311 and -79\/12393.\nAnswer: 4250799","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*l = 57*l - 1104. Is l a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0976 - 0.2.\nAnswer: -0.2976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -262. Let t = k + 237. Suppose -23 = 5*b - 2*w - 143, b = 3*w + 24. Sort b, -3, t in increasing order.\nAnswer: t, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g - 4. Suppose 5*i + o = 13, 2*o + 3*o + 16 = 2*i. Let p be ((-2)\/(-6))\/(i\/27). Let q be s(p). Solve 6*z - 2 = q*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u**3 + 0*u**3 + 15*u**4 + 2*u**3 - 5*u + 7*u in the form g*u**4 + j*u**3 + h + l*u + r*u**2 and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -191, 4 in descending order.\nAnswer: 4, -1, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 + 21 + 10 + 14 + 11.\nAnswer: -2*f**2 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1575456 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**2 - 3*q**2 + 0*q**2 - 1 - 4*q. Suppose p + 5 = -0. Give h(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/8)\/(8\/(160\/(-6))). Sort 24, 1\/5, p in decreasing order.\nAnswer: 24, p, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 117 and 8?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 9711*a - 4973*a - 4743*a.\nAnswer: -5*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*p - 20*p**2 - 161*p - 156*p + 47 + 471*p.\nAnswer: -20*p**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 170244997?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**1)**48\/(m**(-5)*m**(3\/7)) assuming m is positive.\nAnswer: m**(368\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 186\/17? (a) -20 (b) -3.16 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -44 + 0. Let u be -2 + (1504\/y)\/(-2). Let n = -5009\/286 + u. Calculate the common denominator of -47\/18 and n.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13925\/6401 at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x*x\/x**(-1\/19))\/x))**33*x**17\/(x**(-14\/9)*x) assuming x is positive.\nAnswer: x**(2705\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26452105?\nAnswer: 5, 311, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l**2 - 12*l - 11. Suppose 6*s = 5*s + 3. Let n be -9*((s + -2)\/1)\/1. Is x(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.68 - 9.78. Let c = x + 68.1. Let w = c + -59.00000018. What is w rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1545.85 - -1457. Let v = -32 - h. What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*f**2 + 46*f**2 + 4*f**3 + 5 - 2*f + 8 + 43*f**2 to the form t*f + h*f**2 + o + k*f**3 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0092 times -3?\nAnswer: 0.0276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 6 = 4*b + 2*j, -18*b + 1026 = -161*b - 197*b + j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, e: 4, g: 9}. What is prob of picking 2 g?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -123.4 - -123.5. Let s = -7 - -1. Which is the closest to -1? (a) x (b) 1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 11:55 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16438 + 16440. Solve a*b = d - 9, -5*b = -d - 2 + 20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**6\/280 - 3*d**5\/140 + d**4\/28 - 9*d**2. Factor y(w).\nAnswer: 3*w*(w - 2)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 11 = -5*u, 8*c + 5 = 2*u + 9*c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.4 - -6. Let o = g - 1.6. Let q = -4 - -5. Sort q, o, -3\/4 in ascending order.\nAnswer: o, -3\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -299, 4, -2 in descending order.\nAnswer: 5, 4, -2, -299","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 22 - 19)*(-v + 2*v + 0*v) in the form a*v + z and give a.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*m - 36*m + 8575. Suppose 7*a + 4*r + 6 = 6*a, 3*a - 47 = r. What is the highest common factor of m and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203035 divided by -26?\nAnswer: 203035\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41 + 41 + 9*q + (2 + 3 - 2)*(0 + 0 + 2*q) + 0*q - 6*q + 3 + 12*q.\nAnswer: 21*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*w**2 - 8*w + 16*w - 8*w to j*w**2 + d*w + f and give j.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 4*a**2 + 2. Let t be x(4). Suppose 7*z - 15*z = 40. What is the nearest to -0.1 in z, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -3. Let p = 16.61 + -16.91. What is the closest to -0.1 in p, 2, g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10444)\/7460*15\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23 (base 5) to base 14.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011660409 rounded to five dps?\nAnswer: 0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6320423 is divided by 1161.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 528*j**2 - 318*j + 29. Is x(6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1700?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 8. Let c = s + 2. Let i(a) = -5*a - c + 5*a - a. What is i(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 92, 547, 1790, 4217, 8224?\n\"Answer: 66*y**3 - 2*y**2 - y + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 564.9165 + 0.0835. Let q = r + -564.771. What is q rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o - 7. Determine x(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 4*t + 27, -5*t + 6 + 4 = 5*q. Let a be (-3 - 0)\/((-24)\/16). What is the second derivative of -q*n + 4*n**2 - 2*n + a*n**2 + 0*n**2 wrt n?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. Suppose -2*s + 32 = 6*s. Suppose -4*q - 10 = -5*b + q, -s*b - f*q = -1. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:50 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -1\/2*i**3 + 0*i + 0 + 2*i**2 - 1\/8*i**4. Suppose -4*n + 2*n = 2*b + 4, -2 = n + 2*b. Determine a(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/4)\/(6\/(-12)). What are the prime factors of (-13)\/w*(-8 + 9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.5. Put 2\/7, 1, w in descending order.\nAnswer: 1, 2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 537252?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 71 = -68. Suppose -2*n - 800 = -5*t + o*n, 4*t - n = 646. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - 0.3. Suppose 4*k + 78 = 3*n, -3*n - 90 = -79*k + 83*k. Which is greater: k or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 3, 1, 6 in descending order.\nAnswer: 6, 3, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -2*w + 9. Let y be r(6). Let x = -10 + 29. Let f = x - 18.9. Which is the nearest to f? (a) -1 (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54372347*c**4 - 137680705*c**2 wrt c?\nAnswer: 1304936328*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -2.7. Let q = -1 + k. What is the third biggest value in -1\/2, -2\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t**2 + 4*t - 3. Let l be j(2). Let f be 2*l*(-4)\/(-4). Calculate the common denominator of f\/9 - (-958)\/(-180) and 35\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ce3d9 (base 15) to base 10.\nAnswer: -2174379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-8)*s**(-2)*s)**(-14\/13))**(-2\/5) assuming s is positive.\nAnswer: s**(-252\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*z + 7*z - 27*z + (0*z - z + 2*z)*(-3 - 4 + 5) + 2*z + z - z + (-5 + 3 + 0)*(2*z - 2 + 2) in the form o + b*z and give b.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 2. Let t(a) = -7*a - 13. Let w(r) = 6*t(r) - 39*u(r). Let i(x) be the first derivative of -3*x**2\/2 - 5. Determine i(w(y)).\nAnswer: 9*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*k = 4, -2*j + 8 = 2*j - 2*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11*n + 29. Let g be o(6). Suppose 0 = -2*a + g + 255. Calculate the greatest common factor of 25 and a.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(9)\/sqrt(3)*-3 + -1)*-2 - ((2*sqrt(432)*2 - sqrt(432)) + sqrt(432) + 1 + sqrt(432) + 0))**2.\nAnswer: -168*sqrt(3) + 21169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65181*h + 116*h**3 - 65181*h.\nAnswer: 116*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*v - 2849 + 2849 in the form y*v + n and give y.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 6*w - 8*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 10:06 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x - 3. Let p be j(-6). Let q = p - 1. Suppose -26 = q*o - 4*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.73 - -3.73. Let q = -8.47 - -13.47. Sort 2\/9, q, w, 1 in decreasing order.\nAnswer: q, w, 1, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -2516.496\nAnswer: -503.2992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -53. Find the common denominator of (u\/(-16))\/(6\/152) and -85\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 2*q + 5*x - 139 = 0, 4*x - 12 = 0. Let o = 43 - q. What is the remainder when 46 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3401 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3 - 352\/(-33). Suppose -8*o - 5*f = -i*o + 220, 4*f = -3*o + 284. What is the remainder when o is divided by 53?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4465 + 2799 = 0. List the prime factors of b.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 3. Let b be d(0). Let s(v) = 2*v + 1. Let m(j) = -3*j - 2. Calculate b*m(r) + 4*s(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lsssl. Give prob of picking 2 s.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - m + 1)*(-m + m + 2*m) + 3*m**2 - 4*m**2 + 0*m**2 to the form w*m + h + z*m**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1620\/20*-2*1\/18*(-18)\/6.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 464.5524 * 0.1\nAnswer: 46.45524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/80 and -49\/1530?\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3168\/(-165) + 14)\/(-2).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/9))\/y**(-3\/2)*(y\/(y*y**(7\/2)))\/y**(2\/27) assuming y is positive.\nAnswer: y**(-26\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + 5*w**3 - 2*w**3)*(-4215*w - 2728910 + 2728910)*(-w + 3*w - 4*w).\nAnswer: 16860*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 100110 (base 2) in base 3?\nAnswer: 1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 3:25 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 23*y - 35. Factor -4\/5*l - 6\/5*l**y - 2\/5*l**3 + 0.\nAnswer: -2*l*(l + 1)*(l + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (7\/(882\/(-1533)) - -10) - 146\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000078312 rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, 100, 390, 952, 1876, 3252, 5170, 7720?\nAnswer: 10992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.229 and -5223.\nAnswer: 6419.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/6 and -5\/102534.\nAnswer: 102534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n + 4*n**2 + 6*n**2 + 3 - 4. What is the remainder when r(2) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 c when four letters picked without replacement from llctalctctcsl?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2041\/2 + -1018. Let s(z) be the first derivative of -1\/3*z**6 + 0*z**4 + 0*z**3 + 0*z + 0*z**5 + 5 + n*z**2. Find the second derivative of s(v) wrt v.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 272 - 252. Factor -24*l + 14 - l**3 - z + 14 + 22*l**2 - 5*l**3.\nAnswer: -2*(l - 2)*(l - 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22957645219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 0*g - 12. Let u = -5 + 11. Suppose 2*o = u + g. Calculate the greatest common divisor of o and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110101101110111010 (base 2) to base 16.\nAnswer: -b5bba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 + 3*s. Let z be h(3). Let l = 11 + z. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 97\nAnswer: -29.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 45540 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.8 + 47.1. Round u to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123506 is divided by 24487.\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 25\/2*q**2 - 66*q + 47\/16*q**4 + 0 + 55\/6*q**3 + 1\/120*q**6 + 11\/40*q**5. Determine r so that v(r) = 0.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1020934*h - 1669645*h - 230505*h.\nAnswer: -2921084*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/16 - (-10 + 11).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1588329?\nAnswer: 3, 19609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*1694\/4 + (-690)\/(-138). Is a equal to -841?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -210*y + 206*y + 2*p, -5*y = -32*p - 93 - 109 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(-22)\/z)*z)**(1\/36) assuming z is positive.\nAnswer: z**(25\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 - z + 1. Let a be r(2). Let w be 161\/(-322)*(21\/15 - (-15)\/25). Sort -49, a, w in ascending order.\nAnswer: -49, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67707*u - 67704*u = 67*b - 25, -2*u + 32 = 4*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, -21, -23, 4.\nAnswer: -23, -21, 4, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 0.15. What is the nearest to i in -5, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*k**4 + 42*k**2 + 14117*k?\nAnswer: -648*k**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**2\/2 - 5*g + 3. Let i be r(-5). Solve -8 = n - 5*n, i = -u - 4*n + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102960 divided by -720?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 8*a**2 - 5*a + 3. Let k be u(6). Let o be (-2)\/6 + (-3)\/k. Let r = 3.8 + -4.8. Sort r, 0, o.\nAnswer: r, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 58*j**2 - 24*j - 9. Let l be b(-3). What is the highest common divisor of l and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -114 - -132. Is 16 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-270)\/12) + (-4 - -5) + -1. Which is the biggest value? (a) x (b) -2 (c) -44 (d) -4\/3 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 4*v + 28 = 2*p, -24 = -4*v - 2*p for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(72)*-3 + sqrt(72) - (-5 + (sqrt(72)*1 - sqrt(72))*-6 + sqrt(72))) + 3)**2.\nAnswer: -432*sqrt(2) + 2628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*r**2 - 6*r**3 + 15*r**2 + (-30 + 2*r + 30)*(2*r**2 + r - r) - 2*r**3 - 5 + 5.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/9, -638, -261?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20289 + -20089. What is the greatest common divisor of f and 52600?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 11*y**2 + 11. Let u be 27\/45 + (-214)\/(-10). Suppose 0*t + 3*t = -3*n + 6, 3*t = 4*n + 20. Let c(f) = f**2 + 1. Give n*d(s) + u*c(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x - 9. What is m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4856, -19438, -43742, -77768?\nAnswer: -121516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5485098410 + -5485098294.00000142. Let c = i - 116. What is c rounded to seven decimal places?\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*i - 15*i - 4*i**2)*(-2 + 0 - 3) - 3*i**2 - 4*i**2 + 2*i**2 as j*i + d + h*i**2 and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -923730.500004 - -923729. Let p = -9.5 + 8. Let q = r - p. What is q rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -329 + 916. Let c = j - -482. What are the prime factors of c?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.4958 to the nearest integer.\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*y + 2*y + 3*y - y**3 + (-y**2 - 1 + 1)*(0 - 3*y + 0) + 27*y**3 + 25*y**3 - 34*y**3 in the form r*y**3 + f*y**2 + j*y + a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14101400 - 214?\nAnswer: 14101131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1256 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 15910*g + 1086501. What is j(68)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46685, -92713, -138739, -184763?\nAnswer: -230785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1080 and 1635?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54305 - 1340?\nAnswer: -55645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 - 129 = -8*a. What is the highest common factor of 108 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3050, -3024, -2942, -2804, -2610?\nAnswer: -2360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**5\/11 + 21*m**4\/11 + 50*m**3\/11 - 72*m**2\/11 = 0.\nAnswer: -18, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 714 and 16?\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 9*k**2 - k**2)*((5*k - k - 5*k)*(0 + 4 - 2) - k - k + 0*k).\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/76 and 7\/27708?\nAnswer: 526452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 301079627 and 8168?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3bbd (base 16) to base 9.\nAnswer: -22872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 154\/3 (c) -1\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 10*c**2 - 4. What is r(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 3 + 7 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -69*y + 86007 + 10248. Calculate the greatest common factor of y and 775.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d**3 - d**2 - d - 2. What is q(-2)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13138)\/520 - 969095\/(-38380).\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -a**6\/120 + a**5\/20 + 5*a**4\/8 + 7*a**3\/6 + 2*a**2 + 30*a. Let t be r(-3). Solve -4*p = -0*p - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -731*r - 1291. List the prime factors of w(-19).\nAnswer: 2, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628321*k**2 - 310851*k**2 + 4*k**3 - 317470*k**2.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -19*j - 1. What is the remainder when 68 is divided by p(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - 4*x**2 + (-2*x + x + 4*x)*(4*x - 3*x + 3*x).\nAnswer: 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.052 - 0.148. What is the closest to -1\/3 in 6, l, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + 24*x**2 - 115*x**2 - 2.\nAnswer: -95*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 111.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1089.4081 to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22756*v**2 + 11395*v**2 - 190*v**3 + 11361*v**2.\nAnswer: -190*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315 - 486. Let r = m + 181. Suppose -2*o - 5*u = 16, 0*u - 2*u + 2 = 5*o. Which is the second biggest value? (a) -5 (b) r (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1018)\/(-10))\/(132\/(-10)). Let g = v - -61\/11. Calculate the common denominator of 47\/2 + (-52)\/39 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12017*g - 267 = -12012*g - 2*z, 0 = -g + 8*z - 61 for g.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 6*r**2 + r. Let u(b) = -6*b**2 - b. Let i(z) = -5*c(z) - 6*u(z). Find the second derivative of i(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-13 - -33) + -4 + -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777888911?\nAnswer: 23, 33821257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1252.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1411680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 42.95943t?\nAnswer: 42959430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**2 - 33216*x - 199327. What is s(-6)?\nAnswer: 185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -967191, -1934260, -2901209, -3868032, -4834723?\n\"Answer: z**3 + 54*z**2 - 967238*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - y - 4*y)*(-26*y + 90 - 90).\nAnswer: -52*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 886 divided by -886.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - p - 25. Let d = 96 - 89. Suppose -3*k + 3 = -q, 10*k + 6 = d*k. Calculate the remainder when x(q) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 933?\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1445)\/(-1156)*(14\/35)\/(1*-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 13) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -3*b. Let f(z) = -4*z + 50512402. Give w(f(q)).\nAnswer: 12*q - 151537206","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 + 62*o**3 + 3*o - 3*o.\nAnswer: 73*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 j when three letters picked without replacement from {z: 3, j: 1, q: 1, t: 1, i: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + 17161?\nAnswer: 17165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-228)\/(-7)*(-28)\/(-8). Solve -97*t**2 + l*t**4 + 33*t**2 - 116*t**4 - 30 + 76*t + 20*t**3 = 0 for t.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 255 - 207. Let z = 1.23615 - -46.77045. Let u = z - y. Round u to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((31122\/(-52))\/133)\/(-45).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r + 2*r - 3*r)*(-2 + 2 - 2*r) + 0 + 0 - 2*r**2 + 2*r**2 + 0 + 2 + 0*r**2 + 733 - 736 + 318*r**2 + 804*r**2.\nAnswer: 1120*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = s + 152. Let x = -8 + 13. What is the remainder when s is divided by (x*4)\/(18 - 17)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**2. Let d(y) be the first derivative of y**5\/60 - 2*y**3\/3 - 3. Let p(u) be the third derivative of d(u). Give h(p(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11775484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12886871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36896 to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2*sqrt(1573).\nAnswer: 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1372421.55 rounded to the nearest 1000?\nAnswer: -1372000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*n**4 - 26*n**4 - 4*n**4 + (-2 + 2 + 6*n)*(0*n**3 - n**3 + 0*n**3).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m - 2*m = -8590. Let l = 108 - m. Round l to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 299906*0.4.\nAnswer: 119962.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {x: 1, e: 2, t: 7, c: 1, p: 3}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 405*a**3 + 2021265*a**2 - 4493200*a + 2496500.\nAnswer: 5*(a + 4993)*(9*a - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 5:50 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i + 233. Let c(j) = 17*j + 1165. What is 3*c(d) - 16*h(d)?\nAnswer: 3*d - 233","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -24. Let t be -2*-2*4\/u. Let m(y) = 7*y**2 - 4*y - 6. Let g(a) = a**2 - a - 1. Give t*m(f) - 5*g(f).\nAnswer: 2*f**2 + f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.01 and -715.4471?\nAnswer: 715.4371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 67 = 3*h, 4*i + 7*h + 257 = 6*h. Calculate the common denominator of -19\/5 and 4 + (-4)\/(i\/(-126)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from aarrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1182*i - 1983*i - 1239*i)*(0*i - i + 0*i) to the form r*i**2 + f + c*i and give r.\nAnswer: 2040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3340211826 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -685.085 to the nearest 10.\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 373935.5 rounded to the nearest 10000?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 939157 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 (base 10) in base 8?\nAnswer: -4231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-2)*767\/1298?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 + -127.999. Round y to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 32) + -8 + 10 + 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 6*u**2 + 6*u + 28. Give a(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*o - o - 3*o)*(-4*o + 2*o + 4*o) + 2*o - 2*o - o**2 + o**2 + 2*o**2 - 5*o**2)*(3*o + 0*o - 4*o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s + s - 3 + 1)*(0 + 2*s + 0) + (-2*s + 5*s - 4*s)*(-2*s + s + 2*s) in the form r + g*s**2 + f*s and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 732 - 685.3. Let q = 47 - h. Which is the nearest to -2? (a) 4 (b) q (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 71, 2, -282 in ascending order.\nAnswer: -282, 0, 2, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/158 and -73\/4.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1359*g**2 + 6805*g + 2. Determine s(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Expand m**4 + 0*m**4 + m**4 + (-2*m + 0 + 0)*(27*m**3 - 5 + 3 + 0).\nAnswer: -52*m**4 + 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + (1 - -2) + -17. Let c be (0\/(-1 - -2))\/(l - -12). Suppose -4*b - 3 + 19 = c. Let h(f) = f**3 - 4*f**2 - 2*f + 3. Determine h(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 54 = -18*f. Suppose 2*g + f*g = h + 11755, 5*h = 5. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -17*a**2 - 13*a - 24. Let d(l) = -4*l**2 - 3*l - 6. Give -9*d(n) + 2*v(n).\nAnswer: 2*n**2 + n + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/10093 and 40\/3?\nAnswer: 30279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 110300?\nAnswer: 110305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 13 + -7 + -62 - 5 - (0 - -3)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 + -5 + 16 + (-6 - 3).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/3380 and -49\/25.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 6*l + 9. Let a be c(-8). Let x be (-2)\/4*-2*a. Differentiate -x + 52*r - 52*r - 18*r**2 with respect to r.\nAnswer: -36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 55\/76 - -1\/38. Suppose -4*r = -4, 4*r - 13 = 5*y - 4. What is the nearest to y in 1\/2, l, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092666 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 629 + -392. Let f = 2.641336319 - -234.358659561. Let o = n - f. What is o rounded to seven decimal places?\nAnswer: 0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-135)\/9*8\/12. Is (1 - 263)\/(h\/15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.5 - 3. Let r be (15\/((-225)\/(-2)))\/(48\/(-180)). Which is the biggest value? (a) 61 (b) r (c) 0 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (8 - 2)*24\/32 and 65\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zmmgqemmqmqm. What is prob of sequence qme?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 225978*a - 12766514121.\nAnswer: -(a - 112989)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.21 and 549588590.1?\nAnswer: 549588589.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010001111 (base 2) to base 3.\nAnswer: -11102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -29430167, -58860335, -88290503, -117720671?\n\"Answer: -29430168*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1563190945?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -256932 - 30697039.\nAnswer: -30953971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 + -29. Suppose -5*h = 2*g + 47, 3*h - g + z = -2*h. Let t be (-3)\/h - (-11999998)\/6. Round t to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -20.8 (b) 4 (c) 3 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*s - 15924 = 2141 + 25960. What are the prime factors of s?\nAnswer: 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172 - 1379\/8. Let s = -440 - -3527\/8. Let a = s + o. Sort a, -5, -4 in increasing order.\nAnswer: -5, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (0 - (-14)\/(-7))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = 4*b - 104, -1082*b + 1085*b - 88 = -d for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 0\/(3 - 9). Suppose 4*x + 0 = 8. Let o(l) = -3*l. Let h be o(-1). Sort x, g, h in descending order.\nAnswer: h, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/4)*9\/33.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(6) - (sqrt(6) - -1*sqrt(150) - sqrt(6)))\/(sqrt(72)*2))**2*4*2.\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w. Let r(q) = 3*q. Let p(s) = 2*r(s) + 4*u(s). Suppose -3*d + 3 = -2*d. Let z(n) = -d*n**2 + 4*n - 4*n. What is z(p(m))?\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-7)\/2)\/((-4)\/(-40)). Let o = -49 - i. Let v = 29 + o. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -338 = 11*m - 415 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 6 - 3*i + 3*i**2 + 2*i + 7*i. Suppose -5*b + 7*b + 10 = 0. Is g(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -506954 divided by 10.\nAnswer: -253477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 57*f - 48*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 i when two letters picked without replacement from {t: 2, v: 2, p: 1, i: 4, a: 2, z: 6}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 11935\/(-25) - 1\/(-5)*2. Let l be 1 + 1 + 8\/(-4) + p. What is l rounded to the nearest 10?\nAnswer: -480","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 2909715*b + 23278040.\nAnswer: -5*(b - 581951)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6885 - 6887. Which is the second biggest value? (a) p (b) -3 (c) 667\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49798 is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/69416 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7231485 is divided by 185.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 + 139.209. Let z = g + 0.091. What is the second smallest value in 53, 1\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 8*q + 97. Give d(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 864 and 148916448?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 1 = 5. Is 16 + -1*(-1 + x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 8*m**2 - 22*m - 8. Let s be z(-11). Suppose 8*w - s - 590 = 0. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*u = 119 - 162 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2427 = 2*m - 5899. Let g be (0 + 83098\/40)*-2. Let w = g + m. What is the common denominator of -69\/14 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/6458026 and -83\/6.\nAnswer: 19374078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/w**13))**(-37)\/(w**(2\/13)*w*w\/(w**(-6\/5)*w)) assuming w is positive.\nAnswer: w**(-31418\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88\/9 - 422\/45. Let s = 6 - 2. Suppose 0*n - 8 = -n - 2*o, s*n - 5*o + 20 = 0. Is j bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -55 + 64. Let l be r*-5*3\/(-315). Which is bigger: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73.5 and 11.42.\nAnswer: 839.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*j - 67 + 23. Suppose 0 = -2*s + 2*q + j - 2, 2*q + 11 = 5*s. Suppose -s*d + 279 - 3 = 0. List the prime factors of d.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3489 + 6.180778?\nAnswer: -3482.819222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.656 minus 0.13079056?\nAnswer: -57.78679056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-164)\/(-246)*(-6)\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -304 - -762. Let r = -458.00075 + f. What is r rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 48*o - 8971. Let l be j(187). Sort -152, 0, l, -5.\nAnswer: -152, -5, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358161 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 2*p - 21, 10*p - 15 = l + 6*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r**2 + 8*r. Let v(l) = 2*l**3 + 11*l**2 + 41*l - 1. What is -11*d(f) + 2*v(f)?\nAnswer: 4*f**3 - 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 17 = 2*o - 3*o, 4*o + 22 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 46?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**2\/4 - 164706*u + 9042688812 = 0.\nAnswer: 109804","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1456)\/2496*(-160)\/(-84).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a8ae - -ad?\nAnswer: -a801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1492*f - 48 = 4*n - 1494*f + 2990*f, -3*n + 3*f + 6 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**3 + 17*o**2 - 6*o - 11. Let y be (-585)\/75 - (-1)\/(-5). Is c(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 - q + 67. Let t = 16 - -7. Calculate the remainder when d(0) is divided by t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320469260?\nAnswer: 2, 5, 127, 281, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11760291849328*c - 4*c**2 - 11760291849328*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 435972?\nAnswer: 2, 3, 47, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 157241, 314480, 471719, 628958, 786197?\nAnswer: 943436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 8*v - 15. Give j(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 6?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -686 - 5?\nAnswer: -702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 14464, 4, -3, -2 in descending order.\nAnswer: 14464, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/14088230 and 67\/32829.\nAnswer: 1310205390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)\/n**(1\/18)*(n**(2\/3)\/n)**(-9\/2) assuming n is positive.\nAnswer: n**(11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -379 + 400. Find the second derivative of -43*l - 71*l**2 + a*l - 38*l - 25*l wrt l.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 31\/5 of a centimeter?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 - 2 - 7)*(z + 2 - 2) + 0*z - 3*z + z)*(-4*z**2 - 2*z**4 + 4*z**2).\nAnswer: 30*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*w + 4, 2*m + 4*w = 6 - 2. Suppose 0 = -5*a - z + 3, -4*a + 3*z = -m*a + 9. Solve a*g + 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4112 (base 13) to base 15\nAnswer: 29d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*f**2 - 9*f**2 + 21*f**2)*(-f - f + 3*f) + 6*f**3 + 4*f - 2*f - 4*f - f**3 + f**3 - 3*f**3 as v*f + h*f**3 + s*f**2 + c and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 2011264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 16, 5, -0.3, 1\/2, -1\/3, 1\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.846390297 and 14.\nAnswer: 13.153609703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 91625992169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4\/9 - 622*x**3\/9 - 31648*x**2\/3 - 372248*x\/9 - 369728\/9 = 0.\nAnswer: -109, -2, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 685767146.\nAnswer: -685767146.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/2625816 and -85\/236.\nAnswer: 154923144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -590.82865 and 386?\nAnswer: 976.82865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in -0.3, 2, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*j*y**2 - 141*y**2 + 3 wrt j?\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*o**4 - 494936*o - 14917249 wrt o?\nAnswer: -68*o**3 - 494936","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*r - 2*c + 4, 0 = 5*c - 10 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 29b - -20?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3 - 2*x + 0 - 1. Suppose 4*m + 3 = 19. Let f(r) be the first derivative of r**2 - 2*r + 2. What is m*c(k) + 3*f(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 6, 1\/90, 8?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (2 - (-5 + 4 - -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i + 6 + 66 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 341 + -266. Let k = 1\/598 + 1189\/4186. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1731116 - 720198. Is b\/38 + 34\/(-323) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -h**5 + 177*h**4 - 11610*h**3 + 328050*h**2 - 3007125*h - 12301875 = 0?\nAnswer: -3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1210b7 (base 12) to base 11.\nAnswer: 18a570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(847)*1*-6*-4.\nAnswer: 264*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 24*w. Let k(o) be the first derivative of -o**4\/8 - o**2\/2 + 28*o + 117. Let h(p) be the second derivative of k(p). Calculate h(q(r)).\nAnswer: -72*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*y**2 - 25*y**3 + 810*y**4 + 805*y**4 - 1610*y**4.\nAnswer: 5*y**2*(y - 3)*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of h**7\/3 - h**3\/2 + 17*h. What is the second derivative of r(b) wrt b?\nAnswer: 280*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1324684.1 rounded to the nearest ten thousand?\nAnswer: -1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*d - 14, 469*d + 98 - 18 = 20*x + 473*d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fvjk when four letters picked without replacement from {v: 2, f: 9, j: 2, k: 6}?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 6*s - 19. Let i(f) = -f + 4. Let v(a) = -2*c(a) - 11*i(a). Let j be v(-3). Let u be 0 + 1\/(j\/(-1)). What is the closest to 1 in u, 4, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 = 1. Suppose 0 = z*c - 9*c + 3. Calculate the least common multiple of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -5 (c) 4.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -1 - 3*s**2 - 132*s**3 + 2 + s + 134*s**3. Let x = 37 + -31. Suppose 0 = -x*b - 4*b + 20. What is f(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 539 + -514 - (-1 - -15).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 + g**2 - 2. Let l be w(0). Let o = -74.22 + -0.78. Let q = 71 + o. What is the third biggest value in -0.5, l, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3553059\/112 + 31724. What is the common denominator of 19\/24 and n?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - 5*n**2 + 0*n**2)*(4 + 2 - 5)*(1 + 5 - 1).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*q + 5*g + 18, 2*q = -2*g + 6. Suppose 0 = -q*x + 3*u + 39, 2*x - u + 3*u - 26 = 0. Calculate the remainder when 25 is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10490509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of -25 - 2*m + 4*m**3 - 39\/2*m**2. Differentiate l(a) wrt a.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2985 + -17953\/6. What is the common denominator of o and 89\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 9:58 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13090)\/(-425) - 9\/5. Let v(g) = 477*g**2 - 1. Let i be v(-1). Suppose -25*c + l*c = i. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002074842 rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (2 - 1)) + (-2 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -177239.\nAnswer: 2\/177239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1374 = -16*d + 5694. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 667133064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 206.744 - 206. Let n = -0.7 + h. What is n rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -37.\nAnswer: 34\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -1.359 (b) 4 (c) -503\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 110211110123 (base 4) to base 16\nAnswer: 52551b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**2 - 40*z + 64.\nAnswer: 4*z - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 - 10*g + 8. Let u(o) = -o**2 - o + 1. Let j(y) = p(y) - 6*u(y). Suppose -860*k = -893*k - 165. What is j(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 96103415?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 7*q**2 - 9*q + 6. Give a(5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qkxx when four letters picked without replacement from lqqqqqqqcqxqkqxqcq?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 755?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59774?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgfzggzzlglffglfgzqf. What is prob of sequence zf?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 + -108. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -11 + 9*b + 7 - 1 + 3. Let c(q) = -10*q + 2. Give -4*c(o) - 5*r(o).\nAnswer: -5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593336167?\nAnswer: 353, 1680839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -13*p**2 - 4*p + 3. Let m(f) be the third derivative of f**4\/24 - f**3\/6 - 2*f**2. Let y(r) = 4*m(r) + z(r). Find the first derivative of y(l) wrt l.\nAnswer: -26*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1934 and 0.07.\nAnswer: 0.2634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.29, 8, -0.035, 0.4, -2 in ascending order.\nAnswer: -2, -0.035, 0.29, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -122976.\nAnswer: 1\/40992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/9)*n\/(n**(-3\/8)\/n) assuming n is positive.\nAnswer: n**(155\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 11:41 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23636 and 1280600.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*-259\nAnswer: -77.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1500 = 5*h - 0*t - 5*t, -t - 1504 = -5*h. Let u be 2\/3 + (-3406)\/(-39). Let j = h - u. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1871 to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(-38)\/x)\/x**16)\/(x**(-1\/17)\/x*x\/x**(-28\/5)) assuming x is positive.\nAnswer: x**(-5061\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10034 (base 5) to base 7\nAnswer: -1610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -13 + (7 - 2) + 5098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6477 - 6474. Let f(a) be the third derivative of -a**6\/120 + a**5\/15 - 5*a**4\/24 + a**3 - a**2. Let s be f(z). Solve -h + s + 1 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 13203021233002?\nAnswer: 13203021233003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6855\/1936 - 290\/121. Let r = 1187\/4 - 294. What is the common denominator of q and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 213 + -204. Suppose 0*g - k*g + 225 = 0. What is the remainder when 99 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -1013?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 6*o**3 - 3*o**2 + 2. Let b(i) = -6*i**3 + 2*i**2 - 3. Let s(k) = 2*b(k) + 3*t(k). What is the third derivative of s(c) wrt c?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*j = -344 - 9792 - 1354 for j.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - c - 480 = 0, 164 = s + c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -5.89726\nAnswer: -0.589726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:51 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 - 30*x**2 + 29*x + 52. Let u(c) = -c**3 + 10*c**2 - 10*c - 18. Let g(r) = -6*n(r) - 17*u(r). Give g(9).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 1:05 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 12) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -426.9 - -427. Which is the second biggest value? (a) 0.4 (b) t (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = -5*y - 138. Does 11 divide (154\/y)\/(2\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4386 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 3\/11 in decreasing order.\nAnswer: 6, 3\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 17*m + 30. Calculate h(15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 33*c**2 + 129*c - 14. Let b be o(-4). Let z(m) = -m**2 + m. Let h(n) = 2*n**3 - 5*n**2 + 3. Calculate b*z(j) + h(j).\nAnswer: 2*j**3 - 3*j**2 - 2*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 23*j + 2 = -24*j, 2 = -j for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 3. Suppose 5 = i + t, 2*i + 4*t - 11 = u. Let b = 158\/51 + -30\/17. Which is bigger: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -365 - -517. Let a = w + -107. What is the remainder when a is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 25 - 1. Suppose i*o - 7 = 233. Suppose x - o = -3*x. Calculate the remainder when 38 is divided by x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**3\/2 - 3*b**2\/2 + 3*b. Let r be w(1). Solve k = 5*q - 0 + 9, 4*k - q - 17 = r for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.0848533mg?\nAnswer: 0.0000000000848533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42984 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34480?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73699 is divided by 268.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 22629 = 10377. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 11200?\nAnswer: 11144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 366 a factor of 477398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-6)*1*(-22)\/165?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*x - 9. Calculate the remainder when 909\/21 - x\/14 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -65 - 2*i + 71 - 28*i - i**3 + 0*i**2 + 49*i + i**4 - 2*i**2 to the form o*i**3 + k*i**4 + d*i + j + q*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25386 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -32. Let x(f) = f - 2. Let m(b) be the second derivative of -25 - 13\/2*b**2 + 2*b + b**3. Give r*m(i) + 39*x(i).\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ijjxeejejxjinxxjni. What is prob of sequence eix?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + (30813\/(-12))\/(4\/(-16)). Suppose -17*d - l = -15*d + 5*r, 4*d + 5*r = -20530. What is d rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:50 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**2*u**5 - 95*j**2*u**3 - j**2*u - 11*j + 27*u**2 wrt u.\nAnswer: 240*j**2*u**2 - 570*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*c - 5*o, -3*c + 6*o = 2*o + 4. Suppose g + 15 = 5*n - c*n, -3*g = -n + 17. What is the smallest common multiple of (-3)\/(-1) - 6 - g and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5032 - 5020. Let l = -0.2 + 2.2. What is the closest to y in 4, l, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g - 400 = -47*g. What is the hundreds digit of 0\/(8 - 4) + g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5*f - 29 = 2*h, -2*h = 3*f - 5. Let y = h + -3. Solve -14 + 2 = -y*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 28\/(-3)*(-9)\/2. Let v be (75\/(-6) + 1)*-2. Suppose -z = -u - v. What are the prime factors of z?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5*f = -2*c + 13, 0 = -3*c + f + 24. Suppose -3*z - 24 = -2*y + c, 4*y - 64 = 4*z. Calculate the remainder when 49 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 533 - 522. Let y(x) = -x**3 - x**2 + 77. Let a be y(0). Calculate the greatest common factor of a and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -17203?\nAnswer: 17198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2906074 divided by 141\nAnswer: 2906074\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(240\/18)*-4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.00452 and -0.026372725285.\nAnswer: -0.030892725285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -23.914568.\nAnswer: 119.57284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 28623, 827 in ascending order.\nAnswer: -2, 827, 28623","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718184?\nAnswer: 2, 107, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2329 + -2110. Calculate the remainder when m is divided by (-10)\/(-4)*14 + 2.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 + 99502*s\/9 + 124995604\/9.\nAnswer: -2*(s - 50977)*(s + 1226)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 - 210*i**2 + 11475*i + 11680.\nAnswer: -5*(i - 32)*(i + 1)*(i + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 87\/27 - 4\/18. Suppose -25*q + 33 = -14*q. Solve 6*g + q = j*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 12\/25 of a gram?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -14, 113, 73, 5, -5 in ascending order.\nAnswer: -14, -5, 1, 5, 73, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -164, 29, -3, 2, -64 in descending order.\nAnswer: 29, 2, -3, -64, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2 + y - 1. Let i be h(1). Let c = -1312 - -1296. List the prime factors of (-3)\/(4\/c*i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 3:38 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*i**3 + 17*i**3 + 13*i**3.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -s + 3*s - 4*s + (1 + 2 - 4)*(5*s - 9*s - 6*s) + 3 + 2*s - 3.\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 8*p**2 + 8. Let n be -2 + -7 + -1 + -1. Let t(v) = -15*v**2 - 15. Determine n*u(x) - 6*t(x).\nAnswer: 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.41 + 3.45. Let z = k + -1.24. Which is the closest to 2\/11? (a) -2\/9 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = -p, 3*p = 4*p + 4. Suppose 0 = -4*g + 4 + 4. Let l be (-51)\/105 + g\/7. Is f bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 18 = -2*x, 10*x - 15*x + 7 = 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 9*j + 18. What is the least common multiple of 30 and g(3)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Let u = 2 + 0. Let g = u - q. What is the second smallest value in 5, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1376 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let w(z) be the first derivative of z**2 - 524*z + 934. Give w(n(o)).\nAnswer: 4*o - 524","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -2*x**6\/3 - 4*x**5 + 6*x**4 - 1735. Solve m(l) = 0 for l.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6029, -6030, -6031, -6032, -6033, -6034?\n\"Answer: -q - 6028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 12*t - 24. Let u be i(-3). Solve -4 = m - 4*o + 5, 0 = m - 2*o + u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 52423249.9 to the nearest 100000.\nAnswer: 52400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 818*h + 22876. Give c(-29).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 2 + 1 + l + 2. Let c(a) be the first derivative of 3*a**4\/2 + 2*a**2 + 6*a - 2. Let q(s) = -s. Let v be q(4). Calculate v*h(p) + c(p).\nAnswer: 2*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 35. What is the remainder when 29 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 2*o**2 + 1. Let f = 45 + -47. Let b be (2 + 0)\/(-10 - -14)*f. Let t(p) = p**3 + p**2 + 1. Determine b*c(i) - 2*t(i).\nAnswer: -i**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/41 in 33\/2, 0.09, -1, -0.06, 7, -5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286689 and 130806.\nAnswer: 961554906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 397194357 to the power of 1\/2, to the nearest integer?\nAnswer: 19930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131346922 or 131346921?\nAnswer: 131346921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24401986.\nAnswer: 2, 7, 1742999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-11) + 7\/((-77)\/(-97)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1666\/(-1190) - (-7)\/5. Find g, given that 0*g**2 - 9*g**3 + 3\/2*g**4 + 0*g + u = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28f5 (base 16) in base 12?\nAnswer: 6099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 9 = 3*y, 11 = 2*y - 1125*p + 1122*p for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 2878*m**2 - 5775*m**2 + 2894*m**2 - 76*m. Let y(q) = -q. Calculate f(y(j)).\nAnswer: -3*j**2 + 76*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/14 - 23\/(-7). Suppose 1276 + 206 = -o*r. Let n be r\/(-10) - 3\/(-5). Calculate the highest common divisor of 75 and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k - 3*k + 15*k + (1 + 3 - 3)*(4*k - 3*k + k) + (3 - 3 + k)*(0 + 1 - 2).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -8, -4086 in increasing order.\nAnswer: -4086, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 231011 (base 4) to base 9\nAnswer: 3855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let m be (2*(-1)\/(-20))\/(284\/5112). Does q = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888022793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(1584) + 0 + sqrt(1584))*5 + 3)**2 + (1*-1*sqrt(1584) - (-1*sqrt(1584)*5)**2))*-1.\nAnswer: -118814 - 708*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7328677121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3114, -2039, -966, 105, 1174, 2241, 3306?\nAnswer: 4369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 253438176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1197.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8322 and 3066.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4*n**2 - 4*n - 1. Let s be w(5). Suppose 90 = k + s*k. What is the lowest common multiple of k and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -793 > -792?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 377909808 a multiple of 1344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -37*b**9\/21 + 9*b**5\/10 + b**3\/3 - 740*b**2 - 1. Find the third derivative of d(c) wrt c.\nAnswer: -106560*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-10)\/25*(-3)\/(-27)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15254, 17699, 21768, 27461?\nAnswer: 34778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 4 + 6. Let j(q) = -7*q**3 - 6*q**2 - 5*q. Let p(k) be the second derivative of k**5\/20 + k**4\/12 + k**3\/6 - k. Determine h*p(n) - j(n).\nAnswer: 2*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9417 is divided by 894.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 507.\nAnswer: 1521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a factor of 407190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.0209897, 0, 4, 3, -6?\nAnswer: -0.0209897","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-1 - (-1 + 0)) + 1 + (-2166 - -2108))\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7388657 a multiple of 473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 198 and 726.\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3929 in -1\/7, -0.7, -4.1?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/10 and (18\/18)\/(2*-14)*18.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*a + 314 + 136 = 0. Suppose 3*f + 3*f = 3*f. Suppose 3*x - 3 = -w, 7*w - 4*w - 4*x - 61 = f. Calculate the greatest common factor of w and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -94470, -94468, -94466, -94464, -94462, -94460?\n\"Answer: 2*z - 94472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/16 of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4905207*n**2 - 33796*n + 11.\nAnswer: 9810414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -118*r**4 + 128*r**4 - 11*r**2 + 13 + 0*r**3 - 2*r**3 - 16 to j*r**3 + h + c*r + d*r**4 + u*r**2 and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 9*d**2 + 12. Let c be f(-9). Suppose 9*v - c*v = -138. Suppose 3*y - 2*j = 2*j + v, 5*y - j - 71 = 0. 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: Let f = 11 - 6. Let u = 5.79 + -0.29. Let y = u + f. What is y rounded to zero decimal places?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2905940 and -34 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*b, 4*c = 3*c + 5*b. Suppose u + 3*u + 120 = c. List the prime factors of (6 + -4 - u) + -2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*q - 449*q + 2*q**2 + 225*q.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 5*x**2 + 582*x - 327. What is d(-27)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-116)\/(-1) - (-4 + (-2 - -5))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -74920*n**2 - 3*n + 74919*n**2 - n - 2*n**4 - 28 to j*n**2 + k*n**4 + r*n + x + t*n**3 and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-66) - (-1)\/(-3). Let p = -2 - 0. Let h = p - -2.1. Sort x, h, 0.2 in ascending order.\nAnswer: x, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + (-12 - -11) - (8402\/(-764) - -5). Which is the nearest to -2\/3? (a) 5 (b) -4 (c) -5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19*d**3 - 32*d**3 - 11*d**3 + (-1867*d - 32*d**3 + 1867*d)*(3 + 2 - 4) + 4*d**2 + d**3 - 4*d**2.\nAnswer: -55*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5797, -23129, -51945, -92191, -143813, -206757, -280969, -366395?\n\"Answer: 9*b**3 - 5796*b**2 - 7*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3836*(-1349)\/342 + (-1)\/(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 4*f + 1. Suppose 2*q - 2 = 3*n, 3*q + 8 = -5*n + 4*n. Let r be v(n). Is r equal to -1\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4104 = -3*k, -13*k - 17*g = -19*g - 17803. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 159.3, -4\/7, -1\/3.\nAnswer: -1, -4\/7, -1\/3, 159.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13198 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -119, -285, -517, -815?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 25*v - 304. Let w be t(-29). Let h be ((-112)\/(-20))\/(-3 - w\/60). What is the highest common factor of 54 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7904 by -19.\nAnswer: 416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 471589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -275a4502?\nAnswer: 275a4506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*u + 1302 + 209 = 24*u - 673 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/23)\/(((q*q*(q**(8\/5)*q)\/q)\/q)\/q*q*q))**(-45))**(18\/5))**(1\/14) assuming q is positive.\nAnswer: q**(33129\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 311456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.0401, 1\/3, -4?\nAnswer: 0.0401","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - 60. Calculate the remainder when 47 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 44. Let w be g(0). Let h be (56\/(-16))\/(2\/w). Let m = -1 + 8. What is the highest common factor of m and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-6) + 6\/(-9). Let l(s) = o*s - 2*s - s + 104 - 104. Let k(f) = -4*f**2. What is k(l(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**2\/11 - 18*c - 1456\/11 = 0. What is c?\nAnswer: -91, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 7 = g, g + 4 = -4*u - 4. Suppose w + 77 = -2*y, 4*y - g = 8. Let m = -86 - w. What is the closest to -1 in 1\/3, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 23. Let k be p(11). Let t be (5 + -5)\/(k - 3). Solve t*b = -5*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 293 and 736069.7867.\nAnswer: 736362.7867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -820 = y - 5*y. Does 8 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199509.7 micrograms to tonnes.\nAnswer: 0.0000001995097","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o + o - 8*l = 11, -4*l - 3*l + 2*l = 2*o - 6*o - 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25550 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -3*d - 21, -y - d + 7 = d. Is y\/(14\/30) - 1 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i + 12 + 42 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = w - 12, -25 = 4*w - 3*g + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 3879, 3\/7, -4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 divided by -5?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 147939428 not equal to 147939429?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = z - 132. Suppose -z = -3*r - 2. Solve -4*o = -0*o - r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0 (b) -9 (c) 1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-10 + -1)*21\/(-33) and (16\/10)\/((-10)\/(-100))?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10302053 (base 6) to base 9\nAnswer: -512566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*s - 5*s, 2*f - 6*s = -6 - 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43135848.\nAnswer: 2, 3, 7, 47, 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/9 - 31\/(-3). Suppose 5*i + 5*q = -k, 5*i - 30 = -q + 4*q. Suppose t - 12 = -d, 15 + 25 = i*t + d. List the prime factors of t.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 - 2)*(2 + -3). Suppose 2*b + 5*f = 27, -3*b = -5*b - r*f + 21. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19.9, -1, 1 in descending order.\nAnswer: 1, -1, -19.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 0\/(2\/(-1)). Let j(f) = f - 6. Let k be j(o). Suppose -31 = -3*x - 4*m - 53, 5*x = 3*m + 2. Sort x, 13, k in descending order.\nAnswer: 13, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 35 = -4*k, 2*l - 26 = -5*k + 2*k. Let m be (-17 - 3)*18\/k. Let i = -27 - m. What is the greatest common factor of 198 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 + 2006858*p - 1006869758041 = 0. What is p?\nAnswer: 1003429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 4*j**2 + 35*j + 9. Let v be p(4). Let n = -20 + 30. What are the prime factors of 1\/(15\/n*2\/v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2 + -4))\/((-1)\/(-36)). Let j = w - -18. Let m = -312 + 2493\/8. What is the second smallest value in j, m, 1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 532949368.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.43 rounded to 1 dp?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-456*d**3 + 2550*d - 2550*d)*(d + d - 5*d) + 2*d**4 + d**4 - d**4 to y*d**2 + r*d**4 + n*d**3 + l + u*d and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12\/w**(1\/8))\/(((w\/((w\/(w*w*w**(2\/3)*w))\/w*w*w))\/w)\/w*w**9) assuming w is positive.\nAnswer: w**(53\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -1667593916.\nAnswer: -1667593915.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20053 + -20053. Solve t = 43*d + 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 131719.648 to the nearest ten.\nAnswer: 131720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**3 - 7*z**2 - 6*z + 19 - z - 6. Let q(s) = -5*s**2 - 3*s**3 + 9 + s**3 - 5*s + 0*s**3. Let n(y) = -5*g(y) + 7*q(y). Differentiate n(b) wrt b.\nAnswer: 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -231 + 304. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*f + 671289, -6*l + 2*l + 2*f = -537026. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.950335 litres to millilitres.\nAnswer: 8950.335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -200, -299?\nAnswer: -398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 41377719, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*b - 6*b - 80 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -47098, -187941, -422688, -751345, -1173918, -1690413?\n\"Answer: -f**3 - 46946*f**2 + 2*f - 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d - 2. Let c be v(-4). Suppose -c*x + 0*x = 0. Is 0 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u. Let p(s) = s**3 + 7*s**2 + 9*s + 4. Let d be p(-4). Let r(z) = d*z + 17*z + 9*z - 31*z. What is g(r(j))?\nAnswer: -33*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5985? (a) 125 (b) 2\/15 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -8. Which is greater: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 480214 and 11044922?\nAnswer: 11044922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 4*g**2 - 2*g. Let w be h(-4). Find the common denominator of 95\/12 - w\/(-32) and -9\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*m**5 - 195*m**4 - 1800*m**3 + 2000*m**2 = 0. Calculate m.\nAnswer: -20, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.12 in -5, -0.1, -1\/3, -34?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c**3 - 1882*c**2 - 1066956*c - 160812792 = 0. Calculate c.\nAnswer: -822, -238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-93 - 32*a - 87 + 178)*(a**4 - 4*a**4 + a**4 + 2*a**4 - 2*a**4 + a**4 + (2*a**3 - a**3 - 3*a**3)*(a - 4 + 4)).\nAnswer: 96*a**5 + 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -50, -69, -84, -95, -102, -105?\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 25 = -5*q, 0 = -2*c + 4*q - 11 + 31. Suppose c = -4*g - 2*g - 12. Put -4, g, 4 in descending order.\nAnswer: 4, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 6*q**2 + 10*q**2 - 3*q**2 - 3*q**2 as d*q + b + h*q**2 and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + w + 16 - 4, w - 8 = -3*p. Suppose m + 114 - 585 = y, p*m - 932 = 2*y. Let g = y - -679. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-40) - (-398)\/10 - (29 + -25)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 1. Let y(f) = -4*f + 2. Let q(s) = -s + 7. Let v be q(6). Let n(j) = v*y(j) + 2*d(j). Let a(i) = 3 + i**2 - 3. Determine a(n(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -63, 1, -1\/5, -1, 1109, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, p: 5}. What is prob of picking 3 p?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, -17, -4, 4\/5, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -152.8 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/11 - -29\/22. Let i = 0.332 + -0.032. Let t = 947\/7905 + -1\/465. What is the nearest to 2 in u, t, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 3*y + 2*y. Let c = 166 + 138. Suppose d + d = c. Calculate the greatest common factor of y and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*s**2*w**2 + 21388*f**2*s*w**3 + 8*f*s**2*w**2 - 2*f*s*w**3 + 2078*w**3 wrt f.\nAnswer: 2*s**2*w**2 + 42776*s*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 903733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4 + 8 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 16465*k**2 - 2. Let s(v) = 15*v. Give s(m(z)).\nAnswer: 246975*z**2 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 - 11*q + 4. Let r(g) = g - 2. Let c be r(-8). Let b be o(c). Solve -5*v = 2*l - b, -l + 3*v = 2*l + 21 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 62*d - 182. What is i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(-4*v - 3 + 3)*(28499*v**2 - 3122*v**3 - 28499*v**2 + (-v + v + v**2)*(v + 1 - 1)).\nAnswer: 12484*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - ((-12)\/(-8) + 10\/4). Suppose -4*l + 5*l + f = 234, i = -f. Calculate the highest common divisor of 26 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*s - 6555 = 51*s - 19965 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 2\/1381?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 + 16\/(-10))*(-5)\/(-2). Suppose -d*w - 5*w = -66. Suppose w*i - 3*i - 324 = -3*r, 0 = 3*i + 4*r - 323. Is 36 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12607 and 100856.\nAnswer: 100856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -b**3 - b**2 - 6. What is the second derivative of a(y) wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 188600353, 377200711, 565801069, 754401427, 943001785?\nAnswer: 1131602143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 5*v - 6*v - 7 - v**3 as h + d*v**2 + a*v + f*v**3 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 5 - 2 + 6*p - 265*p**3 + 262*p**3 - 2. Let h be c(6). What is the tens digit of h\/(-11) - 2\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 10 - -2) + -18 - -12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.054 - -0.254. Let s = n + 3.8. Which is the second biggest value? (a) 4\/5 (b) -0.3 (c) s (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(u**2 - 2*u**2 + 4*u**2)*(9 + 11 - 7)*(3 - 3 - 2)*(4 - 15 - 1)*(-2 - 3*u**2 + 2).\nAnswer: 5616*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 125, -2\/7, 5, -2\/5?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5078 = -3*c, 217*n + 5074 = 3*c + 216*n. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.24 (c) 5 (d) -12 (e) 4\/337\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280410 and 1170?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 775 + 14999 = -478*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tzzkeezz. Give prob of picking 1 z and 1 e.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*y**6 - 50448705*y**4 - 84801108*y**2 wrt y.\nAnswer: 240*y**3 - 1210768920*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58463539?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -516.6 times -1.308\nAnswer: 675.7128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -261214 + 140*g + 261214.\nAnswer: 140*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence it when two letters picked without replacement from rrffito.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -19977, -39855, -59735, -79617, -99501, -119387, -139275?\n\"Answer: -q**2 - 19875*q - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -21695 (b) -8 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 430 from -0.054.\nAnswer: -430.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 - 122. Let h = 4828470988.00000059 - 4828470917. Let a = h + i. Round a to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d**3 - 34*d**2 + 2*d + 17. Calculate the remainder when 1151 is divided by y(-6).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115 + -96. Let w = m - 17. Find the second derivative of 8*o**3 + 13*o**3 + 4*o**3 + w*o - 3*o**3 wrt o.\nAnswer: 132*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) -130 (b) -15770 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1540, 6170, 13896, 24724, 38660, 55710, 75880?\nAnswer: 99176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3 - 779403*q**2 - 18706968*q - 112244400.\nAnswer: 3*(q - 259825)*(q + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (8 - (-29 + 54))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*g + r = 285*g - 141*g + 29, 3*g + 34*r = 291 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -207 + 73. Let n = q - -343. Is n 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 26183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*g**3*l**3 + 17*g**3 - 121260*g**2*l**4 + 2*g**2*l**2 + 2*g**2*l - 11*g*l**2 + 18662 wrt l.\nAnswer: 318*g**3 - 2910240*g**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 3*q**2 + 4*q. Let m be g(4). Let f = 5 + m. Let p = 5 - 3. Solve 5*x - 2*a + 4 = 0, f*x + p*a + 2*a + 22 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74117 is divided by 174?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/1341 - 8024\/14751. Sort -4, 0.3, c in ascending order.\nAnswer: -4, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 105*d**5 + d**4 - 491*d?\nAnswer: 2100*d**3 + 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Suppose 2*s + 2*u + 2 = 0, -s + 1 + 10 = -5*u. Let g(y) = 10*y - 2. Let t(c) = s*g(c) + 3*o(c). Differentiate t(q) with respect to q.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 6*q**3 + q**3 - 8*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(6\/7)*c)\/c*c**(-6)*c)\/(c\/((c\/c**(1\/5))\/c)*c**7) assuming c is positive.\nAnswer: c**(-432\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.4325 + 5.3. Let s = 0.13247468 + a. Round s to 6 dps.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + 1 + sqrt(1377)*1)**2 - (sqrt(1377) + -1 + 0 - sqrt(1377) - (sqrt(1377) + 3*(sqrt(1377) + 0))**2)) + 3 + -3.\nAnswer: 23405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**3 - p**3 - 13*p**2 + 590*p - 590*p + 6*p**3.\nAnswer: p**3 - 13*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 130712 + -1323?\nAnswer: 129389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8637 equal to 8606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbmbbbbb.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 3*r**2 - 3*r - 10. Let q be l(-3). Let o = 4 + -2. Sort -2, q, o in descending order.\nAnswer: o, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 1792?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136858415?\nAnswer: 5, 17, 79, 89, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1810.1 * 4.8\nAnswer: 8688.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/13, 15109, -2\/7 in decreasing order.\nAnswer: 15109, -2\/7, -7\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003641 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -2301101?\nAnswer: 2301101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 71, 144, 209, 266, 315, 356?\n\"Answer: -4*l**2 + 85*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -213 - -217. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5105500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 7:11 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) 1\/4 (c) 0.2 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25215.\nAnswer: 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -22.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**4\/12 + 5*x**3\/3 - 18*x**2 + 112*x. Does 57 divide a(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 13752, 55084, 124028, 220620, 344896, 496892?\n\"Answer: 6*f**3 + 13770*f**2 - 20*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 2\/9, -4.4 in decreasing order.\nAnswer: 2\/9, -4.4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125417 - w**2 - 250850 + 125433.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 PM and 7:25 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32452 - 23039. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (64 + 2 - (20 + -1 + (142 - 171)))\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lk when two letters picked without replacement from lkd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1470 + -1469. Suppose -3*c = -3*q - 9, 5*c - 8*c - 3 = q. Solve -48*w + 47*w - a = c for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 68 = -13*a + 16, -2*i = a + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -4, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*k - 3*w + 300, 0 = k - w - 60. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 26 = -5*c + 2*l, -c = -2*l - 3. Let m(a) = a**3 - 4*a**2 - 3*a + 2. What is the tens digit of m(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 117 + 27. Let n be ((-6)\/(72\/(-20)))\/(10\/36). Let x be 30\/25*(21\/n - 1). Calculate the greatest common factor of x and u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9183.561 milligrams?\nAnswer: 9.183561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(2\/3))**(2\/145)\/(y\/y**(-10\/9)*(((y*y**(2\/3))\/y)\/y*y)\/y))**37)**(-13) assuming y is positive.\nAnswer: y**(1110148\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u - 1. Let s be g(5). Let r be (-4)\/18 + 2490\/270. Let o be (-3)\/r*(0 + (-21)\/(-7)). Put -2, s, -5, o in descending order.\nAnswer: o, -2, -5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 5*q + 40, 228*s - 4*q + 9 = 233*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uq when two letters picked without replacement from {u: 1, q: 5, z: 3}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 591 - 1772\/3. Sort z, 0.5, -7, 0 in decreasing order.\nAnswer: 0.5, z, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 9*s**2 + 14*s - 42. Let g be l(9). What is the first derivative of -g - 27 - 363*c + 363*c + 28*c**4 wrt c?\nAnswer: 112*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 358*a**3 + 4*a**2 - 10*a - 201. Let l(j) = 362*j**3 + 4*j**2 - 10*j - 201. Let n(o) = 3*l(o) - 2*y(o). Find the second derivative of n(r) wrt r.\nAnswer: 2220*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -317722298, -317722303, -317722310, -317722319, -317722330, -317722343?\n\"Answer: -x**2 - 2*x - 317722295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m**2 - 374*m - 12784. Determine n(-80).\nAnswer: -2064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9914000 rounded to the nearest 100000?\nAnswer: -9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60627872?\nAnswer: 2, 379, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -5 + -3 - -4) + -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 688 = -192. Suppose o - 16 = 4*l. Let f = l + -20. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5814546 (base 9) to base 15\nAnswer: -420366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 927.31 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 + -993?\nAnswer: -942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/99)\/((-1)\/(-11)*1304\/326)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 590a88 (base 11) to base 2.\nAnswer: 11100101000101011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 55704 + 7?\nAnswer: 55712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*b + 72, -5*b - 2*y + 18 = -96. What is the highest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, o: 9, y: 7}. Give prob of picking 1 j and 2 o.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 4:18 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25416?\nAnswer: 2, 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 + 3*y + 3. Let v = 38 + -41. Let t(f) = -f - 1. Determine v*t(r) - o(r).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t**2 + 15*t**2 - 8*t**2 + 103*t**2 + 114*t**2 to l*t + x*t**2 + f and give x.\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7945 divided by 15.\nAnswer: -1589\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 25362\/4*24\/36. Suppose 3*i - n = 3993. Let s be 3\/(3 - 8226\/i). What is s rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 2*i. Let w be k(-2). Suppose p = -w*p. Suppose p*v = -2*v + 6. Solve 0 = -m + v for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648175116?\nAnswer: 2, 3, 17, 3177329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 111 and 111.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/((-1656)\/(-240)))\/(35\/(-42))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.03 - -0.03. Let k = 2.6 + -0.6. Let y = 46 - 42. What is the nearest to m in k, y, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 117 - 227 = 0. Calculate the least common multiple of v and 304.\nAnswer: 3344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 10120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.11 and 10.\nAnswer: 6.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 386*t - 400*t - 228 = 0, 19*g = 3*t + 86 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 85 = -335. Suppose 0 = o - 4, -4*u - 2*o + 7*o + y = 0. Is 3 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 2653 = 4*b + 2733, -25*b - h - 477 = 0 for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 59, 146, 359, 752, 1379, 2294?\n\"Answer: 9*b**3 + 9*b**2 - 3*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1027*g = -1021*g - 24. Let x = -6 + 2. Which is the nearest to -0.1? (a) x (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 0. Suppose -3*j - o = -27. Calculate the lowest common multiple of 10 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 375 and 1590195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110450 by -4418.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + 3*b**2 + (-5*b - 2*b + 4*b)*(-2*b - 3*b + 3*b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*x - 186*x = 907*x + 14370 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -64 + 97. Let p be (-6)\/y - (-4408)\/44. Suppose 4*m - 72 - 16 = 2*i, i = -4*m + p. Is 12 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203591 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, h: 2}. What is prob of picking 2 h?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 95934\/53 and 1811 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 3*o**2 - 5*o - 1. Suppose -3*v - 28 + 3 = 4*p, 0 = -5*p - 3*v - 29. Let d be i(p). Suppose 3*g = 6 + d. Solve -2*m + g = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 16*t = -149, 12*t = -4*u + 15*t - 31 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11106829?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/(1*(-7)\/28).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 135497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1430 = -495*m + 6985 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6305.3 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.00875467 and -0.1.\nAnswer: 0.000875467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 686780, 1373548, 2060316, 2747084, 3433852?\n\"Answer: 686768*k + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/5 - 13*h**3\/5 - 16*h**2\/5 + 388*h\/5 + 144 = 0 for h.\nAnswer: -4, -2, 9, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -27. Let y = l + 23. Let z = 8.4 + -0.4. What is the third smallest value in y, 3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 3:31 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.3 and -1306494.\nAnswer: -3004936.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Suppose 2*b + 3*b - 20 = y. Suppose -12 = -3*s + 3*l, -s + 3*l + b + 2 = 0. Solve -6*n + s = -3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 302711 - -21?\nAnswer: 302732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y - 2. Let r(t) = 4*t + 60. What is 5*n(j) - r(j)?\nAnswer: j - 70","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.971 - 0.029. Let m = -31.5 - r. Which is the second smallest value? (a) -0.3 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgg when three letters picked without replacement from {g: 5, j: 1, q: 1, m: 3, w: 1, v: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -2*o**3\/33 - 19*o**2\/11 - 36*o\/11 - 235. Factor l(x).\nAnswer: -2*(x + 1)*(x + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(55))\/sqrt(5).\nAnswer: 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2992, -2993, -2994, -2995?\nAnswer: -2996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 40*s - 326, 880*x - 882*x + 34 = 5*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28758 - -2?\nAnswer: -28756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -612051750 + 612051750 - 738*s**2.\nAnswer: -738*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/8 + 18\/48?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 24929155.49515 + 1\nAnswer: 24929156.49515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3*p + 3 = 0, 0 = 5*s - s - 5*p - 12. Suppose -s = -y - 1. Suppose -y*q = q - 42. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -10, -6, -2, 2, 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 2*f**2 + f - 1. Suppose -2*m - 5*z = -12, 2*z = 5*m - 4 + 3. Let h = m + 9. Let l be 26\/12 + h\/(-60). Give k(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t = 14*t + 216. 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: Solve 0 = -3*m + 997*t - 327*t - 337*t - 336*t + 15, -m + 2*t - 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27e - -307c?\nAnswer: 2dfe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 278 + -722. Let h be (23*2)\/(4 + a\/114). What is the greatest common factor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n - 32. Let y be 2\/(-1*(2 + (-44)\/24)). Let z be k(y). Solve -5*j = z*i + 12, 2*i + i = 6 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/((-2)\/8). Let t(w) = 7*w**2 - 6*w. Let p(o) be the first derivative of -5\/2*o**2 + 0*o - 2 + 2*o**3. Give h*p(q) - 5*t(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 5\/3, 57.3, 3\/32?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/264 and -75\/22.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x = -44*x + 320. What is the remainder when 250 is divided by x?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2173.4664 from 0.03478643.\nAnswer: -2173.43161357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rj when two letters picked without replacement from {j: 1, n: 1, r: 1, v: 4, l: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -263 + -135?\nAnswer: -398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1113561 and 2020907.\nAnswer: 54564489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8962.004g to kilograms.\nAnswer: 8.962004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.3 in -3, 4, 1.675, -135?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from bblbg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 550690149 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1820055507*k - 68*k**2 + 1820055507*k.\nAnswer: -68*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = -1. Let z(o) = -i*o**2 + 3*o**2 + 0*o**2. Let r(u) = 2276*u + 2279*u - 4557*u. Calculate z(r(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 363483224 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 + 3.8. Let o be -1 + 12\/(-9)*3. Which is the closest to k? (a) 2 (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oummmuomoomoomm. What is prob of sequence mu?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 10252.467.\nAnswer: 10257.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20303 (base 4) to base 13.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)*2)\/sqrt(10))**2*-2.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 26*f**3 + f**2 + 280*f - 281. What is o(1)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55491103.\nAnswer: 419, 132437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*p**3 - 2 - 379*p + 310*p + 6 - 2 to the form b*p + c*p**3 + v + o*p**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20565802 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17714 + 22744. What is the lowest common multiple of 4 and a?\nAnswer: 10060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22614 - 11049. List the prime factors of w.\nAnswer: 3, 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 - 35 = 0. Let p(w) = w**2 + 11*w + 3. Let f be p(-11). Let o be 18\/14 + 2\/(-7). Sort o, f, q in descending order.\nAnswer: f, o, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 16*y - 22. Determine p(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2)*-3)\/sqrt(9) + ((sqrt(4)\/sqrt(2) + -2)**2 - (sqrt(10)*-2)\/sqrt(5)).\nAnswer: -5*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 + 0.4. Suppose -5*m - 4*m = 18. Which is the closest to 1? (a) h (b) -1\/4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 132123103?\nAnswer: 132123043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 = -3*w, 2*t - 2 = w - 4. What is the third derivative of 4*r**4 + t*r**4 + r**2 + 0*r**2 wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.3 - 3.06. Let r = -0.327 + f. What is r rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjv when three letters picked without replacement from {j: 13, v: 3}?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135646.\nAnswer: 2, 7, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-2)\/10)\/((-3)\/(-30)*-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*z**3 + 0*z**5 - 4*z**4 - 18*z**4 + 7*z**4 - 6*z - 21*z**2 - 3*z**5.\nAnswer: -3*z*(z + 1)**3*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) -8 (c) -2 (d) 0 (e) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*5*sqrt(110)*1*5*-5)\/(sqrt(80)\/((sqrt(96) + 2*sqrt(96) + sqrt(96) - sqrt(96))\/sqrt(12)) + (5*-1*sqrt(120) + sqrt(120) + sqrt(120))\/sqrt(12)).\nAnswer: 375*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 - (1 - 0)\/(0 + -1). Let u(h) = 88*h - 105. Let p(o) = 3*o + 1. Let f(a) = i*u(a) + 4*p(a). Find the first derivative of f(k) wrt k.\nAnswer: 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -9. Suppose -2*z + m*j = -0*j + 19, -z - 3*j + 13 = 0. Let c = 4 + z. Solve 0 = -3*b + c*b + 5 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 58 - 13. What is the greatest common divisor of c and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -56*y**2 - 14*y - 14. Let p(a) be the second derivative of 11*a**4\/12 + a**3\/2 + 3*a**2\/2 - 154*a. Determine -3*d(j) - 14*p(j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4\/467 (b) -2\/15 (c) 90\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 3 - 3)*(-4 + 3 - 3).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 50 = -2*v + 5*v, -4*v - 8 = 0. Let y(g) be the second derivative of -5*g**3\/3 + 5*g. Let h(s) = 2*s. What is c*h(m) + 4*y(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10345*n + 850624 = 292333 - 703799 for n.\nAnswer: 122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1422 + 1426. Which is the second smallest value? (a) s (b) -0.4 (c) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**4\/24 - 11*m**3\/6 - 48*m**2. Let y be i(-13). Solve -z = y*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-8))\/((-1)\/2). Let v = -235 + 235.1. Let g = 282\/5 - 56. Which is the nearest to v? (a) 1\/6 (b) g (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(6)*-5)\/sqrt(2) + (4*(sqrt(3) + -4 + sqrt(3)))**2 + sqrt(3))*-5.\nAnswer: -2600*sqrt(3) + 4480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61675, -137699, -213735, -289789, -365867, -441975, -518119?\nAnswer: -594305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 10*l**2 - 14*l + 25. Calculate d(-5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 831*v - 827*v + m - 2*m + 18 = 0, -4*v + 2*m - 16 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1\/2))**(2\/19))**30 assuming o is positive.\nAnswer: o**(-30\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196432808 to the nearest integer?\nAnswer: 14015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(70)\/sqrt(2)*-4)\/(sqrt(7)*-2*2)*-3)**2.\nAnswer: 1125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9825*a + 157203. Calculate c(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3518.\nAnswer: 2, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-3 + 4 + 1)*(5*g - 3*g - g).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 = 2*s - 14, -s - 1 = -2*r. Let o be (6 + -4)\/(r\/(-11)). Let u = o + 53. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.7021 grams in nanograms?\nAnswer: 105702100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*k**2 + 14*k**2 + 32*k**5 - 9*k**5 - 34*k**2 wrt k?\nAnswer: 1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41902 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 10 + 51 = 3*l, -3*l = -3. Solve -5*o + n = -1 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5 - 12*c**4 + 18*c**3 + 8*c**2 - 24*c = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 651140 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s\/s**(-15)))\/s))\/((s**(-21)\/s)\/s*s) assuming s is positive.\nAnswer: s**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -3*q**6\/40 - q**5\/15 + 6*q**2 - 13. Let a(y) be the second derivative of h(y). Find the third derivative of a(m) wrt m.\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - -8) - (-4 + 4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*x - 25 = 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + -5 + -4 - (-340)\/45. Solve -1\/9*t**4 - 16\/9 - 8\/9*t**3 - 8\/3*t**2 - y*t = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/10)\/((-8)\/40). Let g(m) = m**3 - 28*m**2 - 30*m + 31. Let n be g(29). Sort j, -0.3, n in ascending order.\nAnswer: -0.3, n, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 42, 43, 42, 39, 34, 27?\n\"Answer: -a**2 + 4*a + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 + 4*h**3 + 0 + 9*h - 17*h - 13*h**3 + 0 + 8*h.\nAnswer: -9*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117235844*u**3 - 537759880*u**2?\nAnswer: -703415064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/9 in -12, -4, -2\/5, 3, 9?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 + 7*r - 5*r**3 + 2*r**3 + r**2 + 2*r**4 in the form c*r**4 + j*r + k*r**3 + o + m*r**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -29*g - 155*g - 732 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 - -42. Suppose 2*z + j*z - 486 = 0. What is the tens digit of -6*3*-1*z\/18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5768, 23048, 51848, 92168, 144008, 207368?\n\"Answer: 5760*q**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9)\/(h\/((h*h**27*h)\/h)))**(-5\/2))**(32\/7) assuming h is positive.\nAnswer: h**(-1440\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.263547 years in centuries?\nAnswer: 0.07263547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**6*z*z*z*z*z)**(-19)\/(z**17*z**(-3\/5)) assuming z is positive.\nAnswer: z**(-1127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7211116838?\nAnswer: 2, 197, 18302327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2)\/y)\/y)**3\/(y**(-2\/3))**33 assuming y is positive.\nAnswer: y**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2*n)*(3*n - 2*n**2 - 3*n) + (4*n - 4*n - n**2)*(-5*n - 2*n + 3*n) to the form o*n + y + g*n**3 + b*n**2 and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 5*u - 15, -2*u - 15 = 3*a - u for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 2 - (7 - (2 - -4)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 28*x**2 + 31*x - 56. Let r be b(29). Let w be 24\/(-56) - ((-640)\/7 + r). Let k = -85 + w. Solve 0*i - 2*i - 2*z = -k, -5*z - 30 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18911 - 27\nAnswer: 18884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by 187\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2\/13 (b) -4\/3 (c) 0.04 (d) 0 (e) -1\/5 (f) 2\/72231\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -36992, -36989, -36986?\n\"Answer: 3*c - 36995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 86585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 871411 + 1674547.\nAnswer: 2545958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 499010*g**2. Let k(w) = 11*w**2. Calculate m(k(l)).\nAnswer: 60380210*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19215 divided by 18078.\nAnswer: -6405\/6026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xipm when four letters picked without replacement from {p: 1, m: 1, t: 2, z: 1, x: 1, i: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -1956\/23285 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -22 - -1310402?\nAnswer: 1310360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -16*u - 1. Let p(m) = 24*m + 1. Suppose 5*r = -2*n - 31, -25*r + 29*r + 4*n + 20 = 0. Calculate r*g(x) - 5*p(x).\nAnswer: -8*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*j - 920, 3*j - 460 = 2*k + j. Is -230 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21615*x - 3327*x + 4982*x - 3101*x as k*x + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*p + 6*p - 5*p)*(-5 - 2*p**2 + 5)*(-2 + 0 + 3).\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/374160 and -19\/685960.\nAnswer: 4115760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 6:59 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -4272\/3979 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 - 3*z + 3*z)*(2*z - z - 3*z) - 2 + 2 - 107748*z**3 + 106334*z**3 in the form m*z**3 + f + d*z + b*z**2 and give m.\nAnswer: -1412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + 0 + 2 + -2.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16129 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*w + 4*w**4 - 4*w**5 - 19*w - 24*w**2 - 149 + 41 + 56*w**3 + 65*w - 107*w = 0. Calculate w.\nAnswer: -3, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 7*n**3 + 4*n**2 - 3*n - 15. Determine j(3).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0, 16, -127 in decreasing order.\nAnswer: 16, 0, -37, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271 less than -0.1?\nAnswer: -1271.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence diid when four letters picked without replacement from {d: 6, i: 6}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.6499 nanograms to grams.\nAnswer: 0.0000000056499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*d**4*n**3 + 352*d**2*n**3 + 7*d*n**3 - 2*d*n + 3*n**2 - 55 wrt d.\nAnswer: -60*d**2*n**3 + 704*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 11, w: 1}. Give prob of picking 1 w and 1 s.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7.53 - -0.47. Sort g, -4, 2.\nAnswer: -4, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/2 - 176*y + 215. Let c(k) be the first derivative of h(k). Let s(t) = 53*t**2. Calculate c(s(o)).\nAnswer: 159*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96482, -138911, -181338, -223763, -266186, -308607, -351026?\nAnswer: -393443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -444*o + 4857. Let q(k) = -4*k. What is n(q(g))?\nAnswer: 1776*g + 4857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k + 14. Let n be f(5). Suppose 2*g = 5*h + 18, g + n*h + 20 = -3*g. What are the prime factors of (0 - g)\/((-5)\/(2460\/(-4)))?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16873 - 247.1\nAnswer: -247.26873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 842782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 938424 times -8?\nAnswer: -7507392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-3)*21\/(-14). Suppose 2*n + 112 + 703 = -l*i, -4*n = -4*i + 1616. Let m = n - -968. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 48*m - 36. Calculate w(57).\nAnswer: -549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5168, 10334, 15500, 20666, 25832?\nAnswer: 30998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2 + 2*j**2 + (3*j + 3*j - 4*j)*(0*j + j + 0*j) - 234 - 1472*j**2 - 1478*j**2 + 2954*j**2 to p + y*j**2 + f*j and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 51*z + 159. Determine q(-11).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 4*n - 28 = 0, -50 = -5*c - 5*n - 20. What is the third derivative of -7544*l**4 + 26*l**2 + 52*l**2 + 7553*l**c wrt l?\nAnswer: 216*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75 - -168. List the prime factors of q.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 22. Sort 2, q, 5, 1 in decreasing order.\nAnswer: 5, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 5*k = 3*t - 325, -4*k - 247 = -5*t. Let x be k\/(-18) - 6\/(-27). Solve x*a + 9 = 29 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332366630 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-4))\/((-1)\/(-28) + 330\/(-1155)). Which is the fifth smallest value? (a) -1\/3 (b) -0.306 (c) 2 (d) g (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3211*j - 130. Let h(t) = -146*t - 6. What is 65*h(b) - 3*r(b)?\nAnswer: 143*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 6, r: 5, g: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -5.2\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 2*x**2 + 137*x + 580. Determine c(-64).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 31, 2, 4, -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*3 + 4 + -2. Suppose -b*d = -5*j - 35, 6*d - 3*d = -5*j + 5. Let l be (j\/(-6))\/(8\/48). Solve -l*k = 12 - 2 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0*d - d + 3*d)*(1 + 0 + 0) - d + 2*d + d)*(-2 + 1 + 2)*(-2 - 1 + 4)*(-d + 2*d - 3*d) to x*d**2 + p*d + l and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14585373 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: In base 15, what is -5 + -24350?\nAnswer: -24355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10626 a multiple of 253?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3353, -28 in decreasing order.\nAnswer: 4, 0, -28, -3353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35.9035 - 0.0965. What is the third smallest value in -1, 3\/5, 4, r?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 16*t**2 + 2*t - 21. Let h be o(16). Suppose h*j - 14*j + 849 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191336 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: What is the tens digit of 65040025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q - 23. Determine i(-7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -82439 or -89245?\nAnswer: -89245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.64 times -78\nAnswer: -49.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zbp when three letters picked without replacement from {z: 2, p: 3, b: 3}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ekee when four letters picked without replacement from {l: 2, k: 4, e: 8}.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*24\/36\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 + 4*y**2 + 3*y + 6. Let p be f(5). Let q = p + 5. Let u = -144 - -573\/4. Which is the closest to q? (a) -3\/2 (b) -5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tcjidzd. What is prob of sequence ijdd?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -3. Suppose m + 139 = i*j, -3*j - 3*m + 2*m + 143 = 0. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02*4.1\nAnswer: -0.082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 136336704 by 68168352.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s - 3117 + 3221 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 7 = 128. Let l = 3 - 1. What is the units digit of l\/((-2)\/r)*-7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 216 and 232.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 5 - 40 = 0. What is the second derivative of 96 - 96 - 18*i**m + 19*i wrt i?\nAnswer: -360*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 923, 3691, 8297, 14735, 22999, 33083, 44981, 58687?\nAnswer: 74195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4\/7 - 4864*i**3\/7 - 2952442*i**2\/7 + 5924356*i\/7.\nAnswer: -2*i*(i - 2)*(i + 1217)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198403 and 199?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-134)\/(-335))\/(2\/(-20)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-583)\/(-2) - 9\/(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -67\/2*j - 23 - 10*j**2 + 1\/2*j**3 = 0.\nAnswer: -2, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 10:25 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -7*q**2. Let d(x) = 10354*x + 3. What is d(h(y))?\nAnswer: -72478*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g, y = -3*g + 11 + 7. Calculate the least common multiple of 21 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + n = 16. Suppose 0 = -u + 3*h + 6, -23 = -u + 5*h - 15. Suppose -3*j = f - 68 - 26, u*f = -j + 34. Calculate the remainder when j is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, m: 1, a: 5, i: 1}. What is prob of picking 1 a, 1 j, and 1 m?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnrllylnldld. Give prob of sequence ry.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.3 + 1.3. Let v = -615 + 615. What is the closest to d in v, -0.4, 0.04?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.09 (b) -271 (c) 2\/103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-18 - 12) + 26\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 31.89 and -0.2?\nAnswer: -6.378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 217, 0, -0.3, -1\/8, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*8 + 5 + -3. Let k be (4\/8)\/(3\/n). Does 3 divide 68\/8*(k - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 20*p + 1. Let v(u) = 13*u**2. Give v(d(h)).\nAnswer: 5200*h**2 + 520*h + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 2*x)*(4 - 3 + 1)*(-254*x + 880*x**2 + 254*x) - 2*x**3 - 4*x + 4*x to the form i + o*x**2 + s*x**3 + w*x and give s.\nAnswer: 3518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence quy when three letters picked without replacement from qqqyuquuquy.\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22191?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**3 - 28*j**3 + 56*j**3 - 31*j**3 + 19 - 11*j**3 to the form a + g*j + n*j**3 + s*j**2 and give n.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the second derivative of -c**6\/120 - c**5\/60 + c**4\/24 + c**2 + 2*c. Let z(q) be the first derivative of k(q). List the prime factors of z(-3).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a week in seconds?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 21*k**2 - 15*k - 191. Give b(-21).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3\/5 - 21899*w**2\/5 + 24365496*w - 4222237680 = 0. What is w?\nAnswer: 179, 10860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 78*f**2 + 75 + 11*f + 19*f - 75*f**2 = 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11247\/6846*56\/4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnxdntb. Give prob of sequence nx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, i: 4, f: 3, q: 1, j: 2}. Give prob of sequence itif.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26474?\nAnswer: 2, 7, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 11:48 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c = -26*c + 28. Let n be 1 - (c + 3 + -479)*1. Calculate the greatest common divisor of 13 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express b + b - 3*b as l + h*b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17348445*g**4 + 2*g + 196352.\nAnswer: 208181340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 1470.26\nAnswer: 1469.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 AM and 5:32 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 97 - 97.00043. What is m rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 38. Let r be i(-17). Let n = -0.91 - 0.09. Put n, r, -5 in descending order.\nAnswer: n, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2366*w**4 + 4*w**3 - 10*w**2 - 5*w + 83 wrt w.\nAnswer: -56784*w + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.61 - 60.39. Which is the third smallest value? (a) y (b) -0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*l - 234*l + 7560 = 0. What are the prime factors of (-92)\/(-5)*(l\/14)\/3?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -271259 at most -271171?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1182.952373+0.1\nAnswer: -1182.852373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1026 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 11 = -3*u - 2*t, -2*u + t = 0. Calculate the remainder when 37 is divided by (u\/4)\/((-3)\/(-156)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5 - 1444*y**4 - 418360*y**3 + 158219224*y**2 - 2151637068*y + 7455614796 = 0.\nAnswer: -331, 7, 339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 328 + -283. Suppose 115*i + r = 112*i. Sort -4, i, 1, 5.\nAnswer: i, -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66733*k**5 + 211161*k**2 wrt k?\nAnswer: 4003980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 11. Suppose -2*c - 6*r + 2 = -2*r, 2*c = -r + 17. Suppose c*w - 13*w + 2 = 0. Solve -d = -w - n for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4 - 9254\/(-56). Suppose 6*p + 28 = h. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8113719 is divided by 129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*d + 2*a, -2*d - 3*d + a = 2. Suppose -5*w = 2*v - 8, -v = -2*v - w + 1. Let j(m) = -11*m - 29. Let y be j(-3). Put d, y, v in increasing order.\nAnswer: v, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 716 + -570. Suppose 163*g - 23579 = u*g. List the prime factors of g.\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from wwauqeud?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/26)\/o)\/o*o\/(o\/(o**(3\/5)*o)*o))**24 assuming o is positive.\nAnswer: o**(-2124\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0)*(15 - 5). Suppose -13*d + 8*d = -q. Solve 0 = -2*h - d for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 - -5. Let y = 53 - 36.9. Let p = 16 - y. Sort z, p, 5 in increasing order.\nAnswer: z, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15956\/2723 + -1\/389. Suppose -2*g + 65 - 21 = 0. What is the common denominator of p and 0 - (g - -1) - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-2\/11)*s)\/s)\/(s\/(s\/(s**(-2\/31)*s))*s)*(s\/s**(-1))**(-9) assuming s is positive.\nAnswer: s**(-6178\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -77\/927, -1619, -3 in descending order.\nAnswer: -77\/927, -3, -1619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1478 from 133716859.8.\nAnswer: 133716859.9478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**4 - 2*b**4 + b**4 + (4 - 4 + b**2)*(-7*b + 7*b + 4*b**2) - 40*b**4 - 372*b + 372*b.\nAnswer: -38*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4 + 199660*u**3 - 2196502*u**2 = 0.\nAnswer: -99841, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*r - 200, 5*d + 0*r + 4*r = 195. Let o = d + -37. Let i be (-2)\/(-8) - 1\/4. Which is bigger: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1 (b) 0.4 (c) -6 (d) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17591*t**6 + 7*t**5 + 2625497*t**2 wrt t?\nAnswer: 2110920*t**3 + 420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 1\/47563, 3\/2?\nAnswer: 1\/47563","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**4 + 0*g**4 + g**4 + (-2*g + 2*g + 2*g)*(-4*g**3 - 2*g**3 + 4*g**3) - 18975*g**4 - 19654*g**4 - 4281*g**4.\nAnswer: -42916*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7 - -10) + (0 - 3). Suppose k = 3*m + 14 - 56. Calculate the highest common factor of 21 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 32*j. Let v(k) = 10*k + 14. Let i(m) be the third derivative of -m**4\/12 - m**3\/2 + 19*m**2. Let u(s) = 14*i(s) + 3*v(s). Calculate u(d(f)).\nAnswer: 64*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o - 2*o + 2*o**4 + (-o**3 + 3*o**3 - 4*o**3)*(-o - o + o) + (3*o**4 + 2*o**3 - 2*o**3)*(4 + 3 - 8).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3575 and 4125?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 10*t - 52. Let v(d) = 20 - 4*d - 7 + 3*d. Let o be v(t). Solve -4*w = -o*w + 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256 is divided by 133?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1360 and 4760.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lvqq when four letters picked without replacement from qqlqqqlvlqvqqqqvvq?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 28. Suppose -22 = d*r + 48. What is the units digit of (-444)\/(-10) - r\/(-25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (25\/15)\/(3\/(-72)*-10). Suppose -x = 5, -p*d + 102 = -5*x - 19. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j - 248134 + 249054 = 0 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 471547509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 23813 - -8?\nAnswer: 2381b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5963 = -57*s - 10*s. What is the remainder when 181 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 470 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(7)*2))\/(sqrt(20)*5).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 23*v - 34. Let r be g(2). Let u(b) = r*b**2 + 3*b**2 - 17*b**2. Let l(t) be the third derivative of 3*t**4\/2 + t**3\/3 - t**2. Determine u(l(n)).\nAnswer: -2592*n**2 - 288*n - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are 207\/334 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75624*s + 6843*s**2 - 75624*s.\nAnswer: 6843*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u**2 - 3*u - 3. Let p(k) = 32*k**2 + 8*k + 8. What is 8*d(f) + 3*p(f)?\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 214?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 245 - 245. Let m(u) be the third derivative of 0*u**4 + 0 - 5*u**2 - 1\/12*u**5 + 1\/2*u**3 + q*u. What is the derivative of m(s) wrt s?\nAnswer: -10*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*c, -5*c + 19 = -4*g - 0*c. Let r(x) = 5*x + 8. Let k(j) = j**2 - 24*j - 41. Let i(d) = g*r(d) - 2*k(d). Determine i(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 - 448. Let l be n\/(-6)*(-19)\/(-6). Let w = l - 213. Put -1, -1\/3, w in descending order.\nAnswer: w, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00085904 rounded to five decimal places?\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r - 27*r**2 + 22*r - 51*r**2 - 16*r - 2*r to the form n + a*r**2 + f*r and give a.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51198076.\nAnswer: 2, 59, 401, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 3. Let g = -34 + 50. Calculate the lowest common multiple of g and (-1*22)\/(0 + u).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -518, -415, -302, -173, -22, 157, 370?\n\"Answer: k**3 - k**2 + 99*k - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -2\/25*k**5 + 0*k**4 + 2\/5*k**2 - 2\/75*k**6 - 13*k + 0 + 4\/15*k**3. Factor c(a).\nAnswer: -4*(a - 1)*(a + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 1:08 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (71\/(-142))\/(375\/400).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**26*a*a\/a**(-21)*a)\/(a\/(a**19*a)*a**(-19)) assuming a is positive.\nAnswer: a**88","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -22. Suppose b + 34 = m, -x*m - 2*b + 46 = -159. What are the prime factors of m?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 35*v**2 + 4*v + 12. Let d(f) = 34*f**2 + 3*f + 9. Let z(g) = 4*d(g) - 3*x(g). Let j(s) = 4*s. Calculate j(z(h)).\nAnswer: 124*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 226934.1 to the nearest ten thousand.\nAnswer: 230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 146819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48.3 - -41. Let w = a + 6. Let j = w + 6.2. What is j rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 2*q + q + 4, 0 = 3*q + 3*i - 12. Suppose 0 = -q*n - n + 2. Solve 4*a + 4*p - 2 = n*p, 5*p - 16 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15)\/(366\/3050)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 288 (b) 2\/7 (c) 2\/3 (d) -10 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((66\/4)\/(-3))\/(((-176890)\/1715)\/(-361)).\nAnswer: -77\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -31*o**7\/21 - o**4\/4 + o**3\/6 - 25*o - 3. Find the third derivative of t(m) wrt m.\nAnswer: -3720*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 0*w + 0*w + 13*w**2. Let v(b) = -2*b + 110. Let l(r) = 12*r - 605. Let o(s) = 4*l(s) + 22*v(s). Determine o(u(q)).\nAnswer: 52*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 + -1 - (-1352 - -1342).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*h**2 + 3*h**2 - 8*h**2 as y*h + d*h**2 + w and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/1392875 and 103\/50?\nAnswer: 2785750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -526.3 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 38. Let i = a - -70. Is 22 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8980806.\nAnswer: 2, 3, 19, 78779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 3*j**2 + 3*j. Let k(i) = -i**3 - i**2 + i. Let t be (-55)\/(-4) - 2\/(-8). Suppose 13*p - 39 = 130. Let n = p - t. What is n*b(v) + 3*k(v)?\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4291 and 6.7.\nAnswer: -2.87497","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504) + sqrt(504) + (-1*sqrt(504) - sqrt(504) - sqrt(504))*6)\/(sqrt(72)\/(2*sqrt(9))).\nAnswer: -96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 310*v - 10868. Calculate p(35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(99)*1 + 1 - (0 + (-1 + sqrt(99))**2 - (5 + sqrt(99)*2 + sqrt(99))**2)).\nAnswer: -4890 - 594*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*k**5 - 44*k**4 - 76*k - 24 wrt k.\nAnswer: -240*k**3 - 528*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 4*u**4\/5 + 476*u**3\/15 + 172*u**2\/5 - 116*u\/5 + 129. Factor b(p).\nAnswer: 4*(p + 1)*(p + 29)*(4*p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 4 (c) 12 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -383094 divided by 12\nAnswer: -63849\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -283627, -567256, -850885?\nAnswer: -1134514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-13\/3)*(m\/(m*m**(-2\/7)))\/m*(m*m\/(((m\/(m\/(m**(1\/6)\/m)))\/m)\/m))**34)**(-2\/29) assuming m is positive.\nAnswer: m**(-2230\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -1) + (-61 - -119) - (36 + -30)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4054 is divided by 440?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -12*y - 4. Let i(q) = -6*q - 2. Let t(m) = 5*i(m) - 2*k(m). What are the prime factors of t(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -214137*0.5\nAnswer: -107068.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) 2\/37 (c) 3 (d) 3.3 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i**2 + 20*i + 3. Suppose 4*z + 43 = 3*m + 7, -2*z - 32 = -5*m. Let y(u) = 3 - 5 + 131*u - 124*u + 2*u**2 + 3. Calculate z*s(j) + 17*y(j).\nAnswer: -2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -307*j**2 + 2. Let d(t) = -3*t**2 + 2. Calculate s(d(m)).\nAnswer: -2763*m**4 + 3684*m**2 - 1226","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63) + sqrt(567))*2)\/sqrt(9).\nAnswer: 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 124\/(-6) + (-1)\/3. Let t = 90 - u. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*o + 159, -2*o = 2*j + 27 - 149. Is j a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 4*l - 611, -2*f + 2*l + 1171 + 51 = 0. Calculate the remainder when f is divided by 102.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58.13395 and 5.\nAnswer: 290.66975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*z + x - 5*x, -5*x - 11 = -3*z. Solve -4*g - i + 4*i + 26 = 0, -z*g + 5*i = -20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**5 - 776*z**4 + 99584*z**3 - 4590592*z**2 + 55877632*z - 201097216 = 0. What is z?\nAnswer: 8, 68, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) 0.7 (c) -0.3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 1510*w**3 - 332134*w**2 - 16977026*w.\nAnswer: -2*w*(w + 73)*(w + 341)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/11 - 3\/11. Let l be -18 - -14 - -5 - (-40)\/(-44). Suppose -1\/11*t**2 + l + 1\/11*t - r*t**3 = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 19 - 59 = -4*y, y - 5 = 0. Factor 1\/5 - 2\/5*k**2 + 1\/5*k**4 - 2\/5*k**3 + 1\/5*k + 1\/5*k**r.\nAnswer: (k - 1)**2*(k + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102091 rounded to the nearest 1000?\nAnswer: -102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.49 plus -0.042?\nAnswer: -6.532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7567 + c**2 + 497399*c + 2*c**2 - 497400*c.\nAnswer: 3*c**2 - c - 7567","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*o + 1787*o**2 + 290 - 132*o**3 - 2468 + 1582*o**2 + 2854*o**4 - 2852*o**4 - 1193*o**2 = 0. What is o?\nAnswer: -1, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 28. Let b(w) = -2*w - 10*w + 3*w + w**p + 2*w. Calculate b(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*v + 21729 = 2593*v + 222198 for v.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*c**3 - 2 - c**3 + c**2 - 2*c**3 + 12*c**3 in the form j*c**3 + s*c**2 + g*c + n and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 125\/456 and 157\/912.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w**3 + 2*w + 1. Let v(p) = p**2 - 18*p + 46. Let u be v(3). Suppose -4*x + 5 = 5*z - u, -5*x - 11 = -3*z. Calculate m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14794\/3 bigger than 4932?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6728019073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.29434 rounded to one dp?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/4*(97104\/(-40))\/289?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/77 and 73\/165.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -3*k + 2. Let x(f) = f. Let t(q) = w(q) + 4*x(q). Let r be t(-2). Round r to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 26*i**3 + 237 + 8*i - 8*i**2 - 237. Let y(x) = 9*x**3 - 3*x**2 + 3*x. What is -3*r(m) + 8*y(m)?\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1706*x - 1721*x + 3426*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -5*c + 2*c - 13, -4*c = -2*o + 4. Let l be -1*c\/(3\/8). Suppose 0*i + 48 = l*i. Solve -2*j = -d + i, -4*j - 16 = -d - 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60237 divided by -5.\nAnswer: -60237\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + (-11)\/(-2))\/(3\/4). Solve 0 = -3*l + 3*t + z, 2*l - 2*t = t + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -38.042 and 0.239307.\nAnswer: -37.802693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -203, -958, -2201, -3950, -6223, -9038?\n\"Answer: -3*p**3 - 226*p**2 - 56*p + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489*i = 62*i + 1310 - 29 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 4*p**2 + 20*p + 8. Let f be n(7). Let h = -10 + 11. Which is the closest to f? (a) 4\/3 (b) h (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of 767*h**4\/4 - 27*h**3 + 39*h + 764. What is the third derivative of g(r) wrt r?\nAnswer: 4602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + 3*n**2)*(-1 + 3*n + 1 + (3 - 2 - 2)*(3*n + 0*n - n)) + n**2 - n**2 + 2*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e0 + 1d?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24.65037um to kilometers.\nAnswer: 0.00000002465037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, q: 1, i: 2, w: 1, g: 2, l: 2}. What is prob of sequence iiwq?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 1 - 5)*(-1616 - 1612 + 4841 - 139*j**2 - 1613) to a*j + k*j**2 + z and give k.\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - 2*o - o)*(-47 + 40 - 78 + (-3 + 3 - 2)*(3 - 5 + 0)).\nAnswer: 81*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 times 0.615?\nAnswer: 236.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 6 + 7 + 6 + -4 - (1 - 97)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22140.6 millilitres in litres?\nAnswer: 22.1406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 3) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**2 - 8*c - 3. Let u be f(4). Suppose u*d - 27253 - 8874 = 0. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (-15 - (-16 - (-5 - (11 + -9))))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u**4\/6 - 61210*u**3\/3 - 118779*u**2\/2 + 628963*u\/3 - 55660\/3 = 0 for u.\nAnswer: -5, 1\/11, 2, 11132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10943?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + -1 - -5 - (-6 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = f - 7240, n + 13*f = 16*f + 1448. Let v = -648 + n. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 11:45 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/8? (a) 0.5 (b) -5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-6\/5))\/((b**(-20)*b)\/b)*(b**(15\/4)*b)\/b*b**(-3) assuming b is positive.\nAnswer: b**(459\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5308595?\nAnswer: 5, 29, 31, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -72586*t - 855*t**3 + 72586*t + 0*t**3 + 0*t**3 - 2*t**3 + (t + 0*t - 2*t)*(-t**2 - t + t).\nAnswer: -856*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*w + 11*w - 32*w**2 + 17*w**3 + 29*w**2 + 11*w - 18*w**3 as n*w + r*w**2 + s*w**3 + z and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -7*d**6\/120 + 27*d**5\/8 - 19*d**4\/4 - 43*d**3\/2 - 112*d. Let p(k) be the second derivative of t(k). Factor p(u).\nAnswer: -3*(u - 19)*(7*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4 + 99*y + 185*y - 11 + 133*y. Let f be v(-5). Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 22270852.\nAnswer: 66812556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 1. Let i = 521 - 426. Calculate the remainder when i is divided by c(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 377563 to the nearest integer?\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 919143 divided by -102127?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 109 and 2515.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**4*x*x**5*x*x**(-7)*x**(2\/29))**(3\/26) assuming x is positive.\nAnswer: x**(177\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -9*z + 49. Let n = 9 + z. Let u = n + -12. Does 4 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/9 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96*(4228\/896)\/(-151).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 1699a67a?\nAnswer: 1699a67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x - 11*x + 3*x)*(-138 - 369*x + 138) + 2*x**2 + 0*x**2 - 4*x**2.\nAnswer: 8116*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -227976 divided by 92?\nAnswer: -2478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -141, -202, -265, -330, -397, -466?\nAnswer: -537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 + 3*n - n)*(-2*n + 9*n + 8*n) to i*n**2 + a*n + b and give a.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, v: 3, g: 5, r: 5}. What is prob of picking 2 v and 1 r?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 10*p - 6. Let s be h(-11). Suppose -89 = -s*f + 116. Let r = f + -32. Solve 4*w = r + 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -249, -2560, -8993, -21612, -42481, -73664, -117225?\n\"Answer: -344*n**3 + 3*n**2 + 88*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1361686?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 - 3553455?\nAnswer: -3553541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y - 9*y + 3*y = -210 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 9477960 = -165*g. Round g to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2335)\/(-467)*(-2)\/8\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48255*t**2 + 2*t + 10894 wrt t?\nAnswer: 96510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6f93 + -1b?\nAnswer: -6fae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q + 1. Let x(y) = 198*y + 12. Determine -12*j(l) + x(l).\nAnswer: 54*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-35))\/((-2)\/13*-1). Let b = 4\/5 - x. Let c = b - 1. What is the nearest to -2 in 7, c, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:16 PM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*(0 + 19 + 2). Let r = a - 40. Calculate the remainder when r is divided by 4\/(-2) + 2 + 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a - -7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f. Let b(t) = 84*t**2 + 14*t + 8. Calculate b(z(r)).\nAnswer: 756*r**2 - 42*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20795 and 47045.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 11*b**2 - 15*b + 21. Calculate u(12).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {e: 1, z: 4, q: 2, i: 1, v: 2, o: 2}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -17*h - 31. What is j(5)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y - 6. Let v be p(5). Let k(n) = -n**2 + n + 1. Let j = 5690 - 5689. Let o(i) = 6*i**2 - 4*i - 3. What is j*o(z) + v*k(z)?\nAnswer: 2*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 9) to base 12\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1521*l - 263594. Determine p(173).\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/7, 4, 0, -1.4, -5 in decreasing order.\nAnswer: 5, 4, 0, -3\/7, -1.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15765 - 171?\nAnswer: 155d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -27663*c. Let x(s) = s. Determine x(f(k)).\nAnswer: -27663*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10, -40, -92, -166, -262, -380?\n\"Answer: -11*t**2 + 3*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -625, -624, -623, -622, -621, -620?\n\"Answer: b - 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42460\/741 - 744\/13. Which is greater: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, x: 7, o: 7}. Give prob of sequence oq.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1 + 3 - 7*k - 27*k - 2*k. Let b(m) = 9*m**2. Give a(b(u)).\nAnswer: -324*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 14e + -4?\nAnswer: 14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 14, -u - 4 = -y - 8 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -27 + 33. Suppose -4*z - 12 = -s - s, -7 = 3*s - z. Sort 7, s, -2, q in descending order.\nAnswer: 7, q, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - w + 116, -4*w = 4*s - 16 - 100. Let p = s + -27. Calculate the highest common factor of p and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*6\/5. Let c(r) = -r**2 - 9*r - 5. Let x be c(-5). Let v be (-2)\/(-1*l\/x). Solve j = 3*j + v for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + 240. What are the prime factors of t?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 36776 - 36743. Suppose 5*d - 20 = 4*d. What is the remainder when s is divided by d?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1318814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*z**5 + 2*z**4 - 138*z**2 - 4*z + 2961 wrt z.\nAnswer: -120*z**3 + 24*z**2 - 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*o**2 - 258*o**2 - 31*o**2.\nAnswer: 42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -15. Solve -u*q = 7 + 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3182.\nAnswer: 2, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -2\/3541, -4, 4 in increasing order.\nAnswer: -4, -2\/3541, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -5*c**2 + 9*c - 2. Let x(q) = -q**2. Let s(t) = m(t) - 4*x(t). Let v be s(9). What are the prime factors of 19 + (v - (0 - 1))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 398626 - 12815. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 + 296*x**2 + 49*x - 587. Determine w(-59).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -2.2 (c) 0.2 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/((-2)\/(-392)). Let t be (s\/42)\/((-1)\/(-15)). Is 5 - (4 + -3) - t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.100008 to three decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 5. Suppose -x*d + 30 = 6. Let z = 123 + d. What is the greatest common divisor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -149*d**2 - 3*d - 3. Let a(n) = 59153*n**2 + 1192*n + 1192. Let m(h) = -3*a(h) - 1192*x(h). Is m(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**2 + 90*j**3 - 2*j - 1 - 40*j**3 - 51*j**3. Let x be 15\/(-12) - (-2)\/8. Calculate s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -79*z**2 - 3*z + 1. Let u be p(-2). Let i = u + 303. Is i at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 130*q - 143*q + 52 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -w - 1 + 6, 2*w - 10 = 2*d. Let r = d - -5. Solve 4*f - 4 = -3*s - 0*f, -r*s + 2 = 2*f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of -r**4\/24 - 10*r**2. Let w(v) = 53*v + 12*v - 117*v. Calculate w(s(g)).\nAnswer: 52*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -350 + 547. What are the prime factors of d?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5257 + 5441. Let h(z) = -z + 5. Let d be h(6). What is the units digit of (1\/d)\/((-8)\/p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8b - -c?\nAnswer: -7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 n when two letters picked without replacement from {n: 5, p: 7, u: 7}?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 209904*c**2 + 39*c - 66324572?\nAnswer: 419808*c + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5. Let o(m) = h - 2*m - 3 + 3. Let s(t) be the second derivative of -t**3\/2 + 477*t. Give o(s(q)).\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -67\/5 not equal to -1\/153?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = 1. Suppose a - d = 4*r, -2*r + 4 = 5*a - a. Suppose j + r*j = 0. Solve -x = -j*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*2)\/(3645\/(-648)*4).\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4, 0.2, 21\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-58)\/522*4488\/(-34).\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905 is divided by 46.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 41591 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -4*k + 96. Let y = k + -343\/9. Calculate the common denominator of -4 + (-4)\/180 + 4 and y.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (45\/25)\/(-3) - (-1)\/2. What is the closest to -1 in m, 0.2, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-78)\/15)\/(5*(-12)\/150)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2808*i - 2349*i + 1 + 0 + 1773*i as t*i + l and give t.\nAnswer: -3384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 9 = -1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -188*f**2 + 3*f - 4. Let p be w(4). What is p rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r - 21. Let o(s) be the first derivative of -5*s**2\/2 - 64*s + 44. Let n(c) = -11*g(c) + 4*o(c). Let i be n(5). Sort 5, i, 0.\nAnswer: i, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-34))\/s**(-41))**(-3\/52) assuming s is positive.\nAnswer: s**(-6\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3 - 7. Let x(z) = -z**3 + 3*z**2 + 3*z + 4. Let j be x(u). Suppose -4*r = -2*r - 8. Solve j*d - r*d = -12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + 0)*(-1)\/(-2) - 2. Let a be l\/1*(-63 + 8). Let h be a\/21 + (-2)\/(-7) - -2. What is the closest to h in 0.1, 2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6111339*p*v**2 - 11*p*v - 28809*v + 2 wrt v.\nAnswer: 12222678*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7420\/(-140) + 534\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 7*v**2 + v - 4. Let j be t(-7). Let i = 16 + j. Let r be (i\/4)\/((-3)\/(-12)). Sort 2, r, -5 in descending order.\nAnswer: r, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-9) + 138\/(-108). Let t = -21.6 + 9.6. What is the third smallest value in 0.3, k, t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6276 or 6229?\nAnswer: 6229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 + 631. Calculate the greatest common factor of 20 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*u + 17, -3*h - 5*u - 16 = 0. Let b = h + 4. Suppose b*q - 3*q = -16. Sort 3, q, 4.\nAnswer: q, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 6*z + 2. Let f be i(-6). Suppose -y = -0*y - 2. Suppose -y*u = 3*t - 4, 3 = -3*t + 4*t - u. Is f smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2179*f - 2180*f = -805. What is the remainder when f is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, o: 10, m: 4, n: 2}. What is prob of picking 2 o and 1 n?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1775)\/2840)\/(30\/(-1184)))\/(4\/(-6))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 89489686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -g + 3*g. Let z be (6 - 0)*1*g. Let x be -2 + z\/3 + 0. Solve 3*q - 3*a + 15 = x, 3*a + 2*a - 25 = -4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, v: 11, a: 3, j: 3}. Give prob of picking 3 a.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699305 is divided by 880?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**3\/3 + 5*v**2 + 8*v + 12. Give p(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95 - 310 + 1666 - 23 - 4*l**2 + 957 to the form d + y*l + x*l**2 and give d.\nAnswer: 2195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*a = 39, 0 = -5*p + 2*p - a + 30. Let o = 2134\/5 - 33979\/80. Find the common denominator of (-9)\/(p\/4) - 26\/44 and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00177708702 to 5 dps.\nAnswer: 0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0621 + -9.\nAnswer: -9.0621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/8850 and -71\/1770?\nAnswer: 8850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.74 and -405526.\nAnswer: 705615.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.00488*3\nAnswer: -0.01464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.4, -27, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111001110122121002 + -12?\nAnswer: -1111001110122121021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1606, 3078, 4304, 5164, 5538, 5306, 4348, 2544?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/16 - (3 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/322 and 21\/115.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 41 and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, -12860, 9 in descending order.\nAnswer: 9, -4, -12, -12860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -413\/6 - -1043\/15. Let q be 6\/8*(-5278)\/39. Let u = -104 - q. Calculate the common denominator of m and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 79831.53 centimeters to micrometers.\nAnswer: 798315300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 650969215008104\/315 - 2066571609623. Let z = -2673087 - i. Let q = 4\/63 + z. Find the common denominator of 103\/38 and q.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 12:52 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 121992672?\nAnswer: 121992670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8138, -16288, -24462, -32672, -40930, -49248?\n\"Answer: -2*r**3 - 8136*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 890\/367?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*i - 16 = k, -5*i = 3*k - 12. Solve 7*f - i*f = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5495, -20216, -44745, -79082, -123227, -177180?\n\"Answer: -4904*p**2 - 9*p - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (5 - (-1 + 4 - -6))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 9. Suppose d*p + 13 = 5*f, -f = -3*f + p + 5. Solve 5*y = f*y + h + 5, h + 7 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71861.\nAnswer: 71861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 156*z - 1. Let n(f) = -2*f. Give q(n(s)).\nAnswer: -312*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -6. Suppose -5*t + f = -2*t. Let u(z) = 17*z**2 - 7*z**2 - 8*z**t. Let y(d) = -d. Calculate y(u(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -249, -346, -499, -726, -1045, -1474?\nAnswer: -2031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 6. What is the remainder when 83 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 2*a - 2*a + (a + a - 3*a)*(-2*a - 1 + 3 + 4*a) to b*a + o*a**2 + w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20cc4 (base 16) to base 5\nAnswer: -13244330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 11) to base 10.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -j**6\/240 + 409*j**5\/120 + 7*j**4\/12 + 2*j. Let w(c) be the third derivative of t(c). Is w(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1172941, -2345884, -3518831, -4691782, -5864737, -7037696, -8210659?\n\"Answer: -2*t**2 - 1172937*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.9820644 and 0.11?\nAnswer: -0.328027084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 4*z - 4 = 0, k = -z - 3*z - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58045 and 532.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)*r**(-3)*r*r*r)\/((r**(-7)*r)\/r**(-2\/11)))**15 assuming r is positive.\nAnswer: r**(795\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7237514 + -72?\nAnswer: -7237606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2534, 2531, 2528?\nAnswer: 2525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 20748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 22, 34, 60, 106?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 43709189869 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 250122, 1000585, 2251384, 4002519?\n\"Answer: 250168*y**2 - 41*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y = -29*y. Solve -10 = -5*w + 3*s + 6, 2*w + 3*s + 2 = y for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 12 = 3*q - 7, -2*q - 4 = 2*j. Suppose -x - 16 = q*p + 5, -p = 5. Let z(n) = -3*n**2 + 3*n**2 - 8 - 6*n**2 - n**3. What is z(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 2*s - 12. Factor 41*b**2 - 2*b**4 - 39*b**2 + s*b**5 + 0*b**3 + 0*b**5 - 2*b**3.\nAnswer: 2*b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**3 - 53*t**2 + 392*t - 9598. What is z(26)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -9*g + 1308. Suppose -8*m = -g - 83. Suppose 0 = m*q - 25*q + 28. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -646, 2, -3, -5, 3\/2?\nAnswer: -646","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 601140 is divided by 414.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 24.005. Which is greater: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*q**2*u**3 + 46*q**2 + 12*q*u**5 + 2*q*u**2 wrt u.\nAnswer: -24*q**2 + 720*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16970 + 0.\nAnswer: 16970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43561388?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -32.95 + -0.05. Let v = 3.82 - 6.82. What is the nearest to 0 in w, v, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.14422774 to three dps.\nAnswer: -0.144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1838, 3801, 5910, 8171, 10590, 13173?\n\"Answer: a**3 + 67*a**2 + 1755*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 136, 3, 4 in increasing order.\nAnswer: -1, 3, 4, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 5*t**2 + 1244070*t + 77385508245 = 0?\nAnswer: -124407","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 66896070 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 2*a - 19. Let l(t) = 3*t - 22. Let f(s) = -7*b(s) + 6*l(s). Determine f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 545617550 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*h + 1130*h - 25 + 9 = 0 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 200*q - 392*q + 204*q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 0, -5, -16, -174 in decreasing order.\nAnswer: 5, 0, -5, -6, -16, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 212\/(-18) - 15\/((-945)\/(-14)). List the prime factors of (-5)\/20 + (-1299)\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 87*w = -90*w - 3, -2 = -w for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m - 111756. Let q(d) = 9*d - 1. Determine s(q(r)).\nAnswer: -27*r - 111753","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:44 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 121*a**5\/20 + 5*a**4\/6 - a**2 + 154*a. Find the third derivative of h(q) wrt q.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 - -1 - (-1 - 19 - -10)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (261\/348)\/((-6)\/64) + -6.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and -0.2.\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477193350*s**3 + 477193372*s**3 + s**2 - s**2.\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.77 - -0.33. Let y = -4 + f. Which is the second smallest value? (a) y (b) -1\/4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3343693832?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136261, -271930, -407597, -543262, -678925?\nAnswer: -814586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 26192.33 to the nearest 10.\nAnswer: 26190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f - 1. Let g be 60\/(-72) + (-1)\/6. Let l be m(g). Let t(w) = w**3 - 3*w**2 - 4*w + 4. List the prime factors of t(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-15730)\/132)*10*(-6)\/4?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.66 - -0.34. Which is the closest to r? (a) 0.1 (b) -1\/4 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.5 + 3. Let l(f) = f**2 - 6*f - 10. Let s be l(7). Let p be (1 - 5)\/(11\/(110\/8)). What is the second biggest value in s, p, g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)\/(sqrt(12) - -2*sqrt(1452)) + (-1*sqrt(68) - (sqrt(833) + -1)))**2.\nAnswer: -412*sqrt(17)\/23 + 721941\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6)*27\/6. Suppose n = q + 19. Let x(b) = -15235*b**2 - 11*b - 16. Let o be x(q). What is o rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 6042*h**2. Let v(x) = -2*x. What is v(c(b))?\nAnswer: -12084*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**4 - 96*c**3 + 3128*c**2 - 5952*c + 2924 = 0.\nAnswer: -43, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -232250 + -265?\nAnswer: -232535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284727704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3356.361 weeks to nanoseconds.\nAnswer: 2029927132800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104946949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -69, -74?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 5*x - 578 + 68, 3*x + 816 = 5*i. What are the prime factors of i?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(0 + -4)\/(-8)*58. Let q(d) = 5774*d + 69. Let m be q(y). Let j = m + 93677. What is j rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -8 - 2, -5*n - 2 = -3*g. Calculate the remainder when 35 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/337110 and -11\/50?\nAnswer: 1685550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 10 = -2*x, 0 = -5*s - 2*x + x - 8. Let c be s\/6 + (-3)\/(-9). Let f(i) = -i + 10. Give f(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -20481, -4, 5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2914 - -5001. Does 9 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 172*r**2 - 7348*r - 122. Give k(93).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccdmdcd. What is prob of picking 2 c and 1 d?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 49.9. Let s = 10 - 5. Which is the nearest to 0? (a) s (b) 1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -175\/19 + 8. Find the common denominator of -2\/7 and f.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314002034 to the power of 1\/2, to the nearest integer?\nAnswer: 17720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 36 = 3*p, -v - 22 = -4*p + v. Let b(h) = 25*h**2 - 6*h + 17. Let q be b(p). Find the common denominator of -14*215\/q - -3 and -43\/2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 0 - 4 = 2*b, 4*k + 3*b + 6 = 0. Suppose -4*q = 0, -4*t = -q - k*q - 16. Sort -4, t, 15.\nAnswer: -4, t, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 134475.01673437?\nAnswer: 134475.41673437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 290096 - 290024. Let l be (1 + 2\/2)*2. Solve -52 + n = -l*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 11:59 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7\/57 - -4\/19. Let k = -0.01 + 0.01. Let g = k + -0.2. Which is the smallest value? (a) g (b) q (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 - 29*c**2 + 48*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, -0.2, 0.3.\nAnswer: -32, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 49289, 98538, 147799, 197078, 246381, 295714?\n\"Answer: o**3 + 49242*o + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**2 - p**2 - 2*p**3 + 0*p + 2*p**2 - 2*p + 2 to x + o*p**2 + h*p + i*p**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28489 by 291.\nAnswer: 28489\/291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 62. Let k = -4.8 - -5.3. What is the smallest value in -6, k, -3, q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -2*g**3\/3 - 3*g**2\/2 + 2*g + 9. Suppose w + w = 6. Let m(d) = -3*d**2 - 5*d + 3. Give w*m(p) - 5*f(p).\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7\/3 in 4, 31, -0.1, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 4*m + 142 + 198, 0 = 5*l + 3*m - 215. Solve l - 39 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhshhahh. What is prob of picking 1 h and 1 s?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {i: 1, t: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168032.\nAnswer: 2, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-161)\/175 + 0 + 5\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 4*x - 7)*(x + 0*x + x)*(2*x - 4 + 4).\nAnswer: 16*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(153)*2 - sqrt(17)))**2 + sqrt(85)\/sqrt(5) + 4 - ((sqrt(68) + (sqrt(68) + 3 + sqrt(68))**2)*-5 + sqrt(68)).\nAnswer: 129*sqrt(17) + 2021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 7, -2\/13, 0.9, -3\/7, -732, 0?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, -5, -2\/31, 52 in descending order.\nAnswer: 52, 4, 0.3, -2\/31, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/3 + 103*m**2\/3 - 1105*m\/3 + 2825\/3.\nAnswer: (m - 5)**2*(m + 113)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 5*v**2 - 2 + 0*v + 3*v**2 + 0*v - 2*v**2 + 2*v**2 + v**2 - 4 + 4 + 2*v**2 + (7*v**2 - 4*v**2 - v**2)*(0 + 1 + 0).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6628 is divided by 6626.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xqx when three letters picked without replacement from {q: 11, x: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 278367114 to the nearest integer?\nAnswer: 653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/136 and -127\/130968.\nAnswer: 130968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 25.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 4*q**2 + 9*q + 1. Suppose 0 = 2*p + 4, 30*z + 26 = 34*z - 5*p. Let t(w) = -w**3 - 3*w**2 + 9*w. What is z*t(h) - 3*v(h)?\nAnswer: -h**3 + 9*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*sqrt(684) + -2 - (3*(sqrt(684)*1 - sqrt(684)) - sqrt(684))))**2.\nAnswer: -48*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 43 = -i - 5, 2*o - 4*i = 46. Find the third derivative of -o*h**2 - 2*h**3 + 83*h - 28*h**3 - 83*h wrt h.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 46*x - 301. Let c be r(7). Which is greater: -2\/13 or c?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -204, -407, -610?\n\"Answer: -203*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c + 3*y = 4*c + 9536, 5*c = -5*y + 11925. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141, -3, -145.\nAnswer: -145, -141, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-60)*(69 - 96)*(4 - -6).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 - -1441\/18. Let w = 8\/63 - o. Suppose 28 - 8 = 5*d - 5*y, 0 = -2*d - 2*y - 8. Is d at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) 5\/3 (c) -2371\/5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 44 + 17 = 5*q, -3*p + 5*q = 89. Let j = p + 54. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 125, 275, 453, 641, 821, 975?\nAnswer: 1085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2 = -8, 3*a - 2*y - 305 = 0. Suppose 5*l - a = 82. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1352.22l to millilitres.\nAnswer: 1352220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-1))**(-46)*(q**1*q)**(-33))**44 assuming q is positive.\nAnswer: q**(-2904)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*l + 128 + 249. Suppose 0 = 3*h + h - 224. Calculate the remainder when h is divided by l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31 + -8.1. What is i rounded to zero dps?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - 7\/(-4)) + -9204*(-8)\/128 is divided by 112?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4223246 or -4223233?\nAnswer: -4223246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrs when three letters picked without replacement from {n: 1, t: 5, s: 3, r: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 12 = 3*s. Let i(x) = -4*x**2 + x**3 + x + 3 - 4*x + 11*x - s*x**2. Let k be i(7). Solve 5*a = -10 - k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 8 - 2166*i + 6106*i - 12 to the form l*i + j and give l.\nAnswer: 3940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {g: 2, h: 4, f: 4, k: 3, w: 1}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -8)\/1 - 150\/45.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -66929185026 + 1106\nAnswer: -66929183920","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 11*f - 1. Let v be b(1). Let w be v*((-18)\/5)\/6. Let x be -1 + w*(0 + 1)\/(-7). Sort x, 4, -3, 2 in increasing order.\nAnswer: -3, x, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**4\/4 - 11*t**3\/3 - 11*t**2 - 12*t + 7. What is the hundreds digit of m(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(14\/3)*(-4662)\/(-10360)*(-56)\/(-18)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/v**(-6)*v)\/v)\/v)**(2\/21)\/(v\/((v*v\/(((v\/(v\/(v*v*(v\/(v\/v**(-11\/5))*v)\/v)*v))\/v)\/v))\/v)*v**(-15\/4)))**41 assuming v is positive.\nAnswer: v**(43173\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/4 + (7 - (-511)\/(-126)))\/(35\/280).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26267 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 2188.578128\nAnswer: -2192.578128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/16 of a day?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 12. Solve 2*n + 4*z = 2, 3*z = 2*n - z + o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342.12 + 0.03?\nAnswer: 1342.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 373928930046 + -2.\nAnswer: 373928930044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 2)*(0 - 1). Let t = x - 6. Let q(b) = -b - 2. What is q(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32728 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 5, 0.089?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 7*h - 114. Let x be u(16). List the prime factors of 12\/x*15\/6*365.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -69, 5, 3, -1, -79\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5233896697 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 660 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -305 + 596 + 9*w - 297. What is q(5)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wxvakyvx. Give prob of sequence yav.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 7:48 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 8. Suppose -2*a + 1015 = i*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/z*z**10*z*z**(-1\/14)*z*(z\/((z*z\/z**(-1\/5))\/z))\/z)**(-3\/4) assuming z is positive.\nAnswer: z**(-1413\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w - 21 - 29 = 0. Solve 3 = w*z - 3*d - 10, -11 = -4*z + 3*d for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 - 2)*(0 + 0 + k) + k + 3*k - 2*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 535*i - 1009*i + 228*i + 219*i.\nAnswer: -27*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 156\/47 (b) 0.5 (c) 322 (d) 3\/7 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 604.01 and -0.00704.\nAnswer: 604.00296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/133420 and 117\/9530?\nAnswer: 133420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 32681 - 16174. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -2*h + 50, -3*f + 4*f + 19 = h. Suppose 4*z - h = -1. Suppose -z*n - 24 = -2*n. Put -1, -2, n in decreasing order.\nAnswer: -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, o: 2}. What is prob of sequence ooi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 11*t**2 + 2*t - 14. Let u be b(-10). Suppose 0*z + 2*z = u. What is the highest common divisor of 22 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15958.\nAnswer: 2, 79, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(((sqrt(325) + sqrt(13))*1 - (2*sqrt(1053) - sqrt(1053) - sqrt(1053)))*-1 + (3*(sqrt(13) + -4) - sqrt(26)\/(sqrt(2)*1))))**2.\nAnswer: 96*sqrt(13) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 9 - (1 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.38 + 185.62. Let n = -186.9823 + v. What is n rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**13)**(-8\/5) assuming a is positive.\nAnswer: a**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2*c + 5*c + 8)*(3*c - 7*c + c).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 84*f**3*k**2*o**2 + f**3*k - 27*f**2*k**2*o**2 + 33*f**2*k*o - f**2*o**2 - 11*f*k*o**2 wrt k.\nAnswer: 168*f**3*o**2 - 54*f**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/6)\/((-6)\/(-32)). Let v be ((-2)\/g)\/((-2)\/8). Let w = -6 + 11. What is the closest to v in w, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5397832365?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - 1. Let l(c) = -8*c**3 - 3*c**2 + 3. Let n be l(-1). Calculate the remainder when (n\/(-24))\/(k\/42) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 4*h - 1. Let t be l(5). Let o = -2 + t. Solve -m + f - 14 = 2*m, -o*m + f = 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21949995*x**3 + 12611325 wrt x.\nAnswer: -65849985*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 245457 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 230547198 to the power of 1\/2, to the nearest integer?\nAnswer: 15184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/7 and -29.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 89690171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 + 8 - 6*k**2 + 3*k**2)*(-1 - 4 + 2)*(3*k + 4*k - 4*k + 2*k - k + k + (2*k - 1 + 1)*(-2 + 3 + 0)).\nAnswer: 21*k**3 - 168*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -330562*y**2 - 620626 wrt y?\nAnswer: -661124*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2143 - 1882. What is the remainder when g is divided by 75?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -645, -738, -891, -1104?\nAnswer: -1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**2. Let v(a) = 519*a. Calculate n(v(i)).\nAnswer: 538722*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6215 + -2912. What are the prime factors of i?\nAnswer: 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*d - 27*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2044470731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 363252 - 2523805\/7. Let j = c - 2688. Let u = -3596\/175 + j. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7473023, -14946140, -22419257?\n\"Answer: -7473117*x + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 147609540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3378945 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*c - 5 = 0, f - 2*c - 1 = 2*f. Let s = 3 + f. What are the prime factors of (s - 10)\/(6\/(-15))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.023 + 0.727. Let u = x + -2.05. Which is greater: u or -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 0. Let p(w) = 0*w - w + 5*w**2 - 48*w**2 + 46*w**2 + w**3. Let b be p(r). What is the highest common factor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 12) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 27 = -2*k - 3, 0 = 4*h + 16. Let y be k\/(-6) + 8\/6. Suppose -41*t + 39*t + 192 = y. 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 a(w) be the first derivative of 2*w**3\/3 + w**2\/2 - w - 4. What is a(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 10 - (-1 - -11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of 3277*b**6\/60 + b**4\/8 + 42*b**3 - b**2 + 2947*b. Find the second derivative of a(x) wrt x.\nAnswer: 39324*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1288 and 2702707?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3268 - -7036. Suppose u - s = -11*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m**3 - m**2 + m**2)*(-5 + 5 - m)*(-4 + 4 - 5) to d*m**4 + y*m**2 + h + f*m + n*m**3 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**4\/4 + n**3 + n**2 + 2*n - 1. Let z(o) = -o**3 + 6*o**2 - 4*o - 6. Let b be z(5). Let w = 2 - b. Calculate s(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 240 = 11*u. Suppose -4*l = -3*p - p - 32, 0 = -5*l - 5*p + u. Let i(g) = g**3 - 6*g**2 - 8*g - 3. Determine i(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + 200\/90)\/(50\/2000*180)?\nAnswer: 4\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.2409919 months?\nAnswer: 0.000186749325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-14))\/(102\/(-34))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 11*n + 12. Let h be t(-10). Let z(x) = -x**3 + x**2 + x. Let k be z(0). Let u(f) = -6*f + 4 - 1 + k. What is u(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/15 + (8 - 9)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*q*r + 33797*q - 4*r - 6289 wrt q.\nAnswer: 7*r + 33797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -28. Let g(z) = -4*z - 9. Let j(r) = r + 1. Give x*g(p) - 6*j(p).\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*d + 187 - 186*d + 96*d.\nAnswer: -2*d + 187","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3037 - 497 + 2833 = -720*w + 123*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.6393817 and 1178449.\nAnswer: 1178454.6393817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w - 13*w + 8*w)*(-9*w**2 - w**2 + 4*w**2)*(73*w - 155*w + 70 + 80*w).\nAnswer: -96*w**4 + 3360*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 9. Let h(t) = -11*t**3 - 2*t**2 + 2*t - 1. Let p be h(b). Let k be (-2)\/6 - 148\/p. What is the highest common divisor of k and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, o: 18}. What is prob of sequence oo?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 14*t**2 + 14*t + 15. Let m be n(-13). Let f be (-8)\/(-36) - (-61)\/9. Let i = f - m. Let r(g) = g**3 - 4*g**2 - 6*g + 1. Give r(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2. Let q be (-4)\/(3\/3 - 0). Let g(w) = -2*w - 4. Let l(t) = -7*t - 11. Let v(r) = q*l(r) + 11*g(r). Calculate y(v(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = -a - a, -35 = a + 4*s. Let b be 15*((-10)\/a - -1). Solve -6*k = -k + b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06 or -95?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h**2 + 35*h**2 + 32*h**2 - 56*h**2 - 37*h**2 + 2.\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 149585 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -809\/4 at least -203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.93858 days in microseconds?\nAnswer: 6561093312000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -310.6 + 309. Let w = r - -1.8. What is the closest to w in 0.3, 0.5, 9\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**3\/w)\/w)**(10\/7))**(-2\/51)*(w\/w**(-2\/7))**(1\/11)\/(w\/(w*(w\/w**(1\/2))\/w)*w*w**(-2)) assuming w is positive.\nAnswer: w**(4405\/7854)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of -u**7\/945 - u**6\/135 - u**5\/54 - u**4\/54 + 113*u**2. Factor d(t).\nAnswer: -2*t*(t + 1)**2*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -170*f**3 + 20*f**2 + 18*f - 1. List the prime factors of z(-1).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45531 equal to 45531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (225 - 72) + -165 + (1 - (-35 - -2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*t + 420 = -1220 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((60\/27)\/(2\/(-6)))\/((-4)\/9012).\nAnswer: 2, 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -298 + 148. Let j be (-8)\/(16\/r)*-240. What is j rounded to the nearest 1000?\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89280?\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 104 (base 10) to base 15\nAnswer: 6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0 + 3\/7*i**2 - 11\/14*i**3 + 2\/49*i**7 - 13\/70*i**6 + 3\/20*i**5 + 11\/28*i**4 - 17*i. Solve s(y) = 0 for y.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, -5, -9.8, 1\/3, 0.5.\nAnswer: -9.8, -5, 1\/3, 0.5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -213 + 217. Let f(h) be the first derivative of 5 + j*h - 3\/2*h**2. What is the derivative of f(p) wrt p?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24167531 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -5*v**3 + 12*v**2 + 53*v + 48. Let k(w) = 16*w**3 - 38*w**2 - 160*w - 146. Let f(t) = -3*k(t) - 10*m(t). Let f(s) = 0. Calculate s.\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 3*j + 256, 0*w + 2*j + 128 = 2*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*v = -b + 22, 5*v = 4*b - 1. Suppose 33 = w - b*d, 4*w + 3*d = d + 78. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 38. Suppose -b = s, 4*s - 5 = -5*b - p. Differentiate -10 + b*d**3 + 12*d**3 - 1 - 3*d**3 wrt d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -10*x - 3. Let q(z) = 299*z + 91. Calculate 6*q(m) + 182*v(m).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c - 1725 - 53*c**4 + 1725 + (-127*c**2 + 127*c**2 + 54*c**4)*(-1 + 0 + 3).\nAnswer: 55*c**4 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdtg when four letters picked without replacement from fgtdggt.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3922 and -97.4?\nAnswer: -382002.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 184259 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11503*f**2 + 21*f**3 - 11503*f**2.\nAnswer: 21*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((648\/(-200))\/9)\/(((-182)\/39)\/((-20)\/9)).\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12143*a + 684*a**3 - 12143*a + (-2*a**2 + 2*a**2 + 2*a**2)*(-5*a + 5*a + 2*a) + 2*a**3 - 4*a**3 - a**3.\nAnswer: 685*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t = 10*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220 (base 3) to base 5.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6, c: 6}. Give prob of picking 1 j and 3 c.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 207 + 625. Does 19 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4118269 kilograms to grams.\nAnswer: 411.8269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 368 and 1244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 223796160 a multiple of 357?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + a + 0*a)*(7193 + 439*a**3 - 7193).\nAnswer: 878*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123 - 63. Let m = g - 42. Solve 0 = 5*x + 4*k - 26, -3*x + 0*x - 3*k + m = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -125.8, 305.4, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909406742.\nAnswer: 2, 43, 1021, 10357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.1838 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 20*q**3 + 21355*q**2 - 21415*q - 42750 = 0.\nAnswer: -4275\/4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/18 and 11\/2460.\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -8. Suppose -p*o - 10 = -14. Let w = -110 + 111. Do w and o have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9898 is divided by 761.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of x**7\/4200 - x**6\/225 - 101*x**3\/6 - 121*x**2. Let n(s) be the first derivative of a(s). Find o such that n(o) = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a minute in seconds?\nAnswer: 2070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -243, -1969, -6649, -15759, -30775, -53173, -84429, -126019?\n\"Answer: -246*g**3 - g**2 - g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6*x - 7. Let z be r(-4). Suppose z = -3*j - 31. Let o be (-1)\/(-4) + 12\/j. Sort o, 2, -1 in descending order.\nAnswer: 2, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**2 - 1404*v + 492804 = 0. Calculate v.\nAnswer: 702","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341*f + 329*f + 16931 + 3469 = 0. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 - 5*m**2 + 4*m**2)*(192*m + 11274110 + 9*m**2 - 11274110).\nAnswer: -9*m**4 - 192*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/7)*(b**(-2\/7)*b)\/b*b**(2\/9)\/(((b\/b**8)\/b)\/b) assuming b is positive.\nAnswer: b**(572\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4082?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(-18)\/(-3) + -5. Let z(i) = -9*i**2 + 5*i - 2. Let t(l) = l**2 - 1. Let r(p) = h*z(p) + 5*t(p). Let j(k) = -3*k**2 + 4*k - 6. Give -6*j(g) + 5*r(g).\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-28))\/(28\/196)*30\/4\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -167*d - 45. Suppose 3*c = 4*u + 19, -3*c + 9 + 3 = -3*u. What are the prime factors of b(u)?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**5\/15 + q**4\/6 + 4*q**3\/3 - 11*q**2. Factor f(t).\nAnswer: -4*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1506\/13 or 116?\nAnswer: 1506\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698 is divided by 139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 - 1 - 9*c - 18*c + 29*c to m*c**2 + w*c + y*c**4 + i*c**3 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -66*3*(-1)\/2. Round a to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -398.7 + 399. Which is the third smallest value? (a) q (b) -2\/3 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 343 = -46*o + 53*o. What is the highest common factor of o and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -4156?\nAnswer: -4161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 17944*v + 89820.\nAnswer: -4*(v - 4491)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13451346.28 rounded to the nearest 10000?\nAnswer: 13450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 320 and 320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 12:41 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*k + 43*k - 320. What are the prime factors of 627\/15 - 16\/k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463 - 462. Solve -6*q - i = 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 4. Let x be 4 + -2 + c - 1. Find the third derivative of -s**4 + 0*s**2 - 2*s**2 + 3*s**x wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2356 and 20987?\nAnswer: 1595012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9873 is divided by 912.\nAnswer: 753","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3454 - -10360\/3. What is the second biggest value in z, 62, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9 + 7\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26*h**2*u**3*v**2 + 39*h**2*u**2*v - 506*h*v**2 - 836*u**3 - 2*u**2*v**2 wrt u.\nAnswer: 156*h**2*v**2 - 5016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (3 - 3) + (-2 - -2) + -2\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2006?\nAnswer: 2, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/4)\/c)**(-36)\/(c**1)**(-28\/3)*(c*c**(1\/2)*c*c**(-7))\/((c*(c\/c**(2\/13))\/c)\/c**(-4\/3)) assuming c is positive.\nAnswer: c**(771\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 267, 259, 207, 81, -149, -513, -1041, -1763?\n\"Answer: -5*a**3 + 8*a**2 + 3*a + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/9))**(2\/3)*(p*p**(2\/3))**(-4\/11) assuming p is positive.\nAnswer: p**(-224\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 12. Suppose -h = -4*u + 4. Solve -l = -u*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 + 5*f + 10. Let n = 11 - -7. Suppose -2*l - 2 = -n. What is the smallest common multiple of l and u(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.2 - 129594?\nAnswer: -129604.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8213812889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180472 and 270708?\nAnswer: 541416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*f = 45*f + 569 - 9374 - 3935 for f.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1339 - 1339 - 65*n)*(2 + 0 + 0) - 2*n - 3*n + 2*n)*(3*n - 4*n - 3*n).\nAnswer: 532*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = 2*g + 31. Let w = 323\/6 + g. Which is the third smallest value? (a) 0 (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - (0 + -3 + 5) - -17997. Suppose 49*d - d = p. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -219*n. Let t(i) = -44*i. Let y(d) = -5*c(d) + 24*t(d). Let x(q) = -3*q. Let h be 1*((-10 - 2) + 8). Give h*y(z) - 54*x(z).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 19 = -5*x, 0 = -5*x - 10 + 35. What is the highest common factor of k and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -7\/6*k**4 - 19\/2*k**2 + 0 + 0*k**3 + 3*k. What is the first derivative of g(h) wrt h?\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a32a (base 11) to base 15.\nAnswer: cb0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*s + 8*s + 2*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 768\/1920*(-30)\/14?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -14673.\nAnswer: -5\/14673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -11*t + 6. Let d(h) be the second derivative of 5*h**3\/3 - 5*h**2\/2 + h. Let u(l) = -4*d(l) - 3*g(l). What is the tens digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3549\/5, -2, -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -242859898 < -242859897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*c + 179620 = -33*c. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1192, -2411, -3630, -4849?\nAnswer: -6068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125 = -3*n - 2*t, 18*t - 20*t = -5*n + 203. Solve 8*k - 9 = -n for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*k - 6*k - 86 = 23, 1687*k - 1688*k - 35 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 458, 507, 566, 641, 738?\n\"Answer: a**3 - a**2 + 45*a + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2*s**3)*(2*s - 3*s + 0*s) + 2*s**4 - 2*s**4 - s**4)*(2*s - 3*s - 4*s)*(4 + 3 - 3).\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -536203.63 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27606 is divided by 103?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8530 - -8536. Which is the second smallest value? (a) 1\/3 (b) w (c) 2\/3 (d) 1 (e) 84\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -6. Let k = -23.13 + 0.13. Let q = k - -22.7. Which is the third smallest value? (a) q (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04171 * 26.7.\nAnswer: 1.113657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 AM and 12:03 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23181 - -28286. What is the remainder when j is divided by 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 9*o**2 + o - 2. What is the lowest common multiple of m(9) and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 156874, 156896, 156940, 157012, 157118, 157264?\n\"Answer: z**3 + 5*z**2 + 156868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f**3 + 523 - 1624 + 531 + 570.\nAnswer: -9*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*r - 5713 = 0, -7*r + 4584 = 4*u - 8*r. Suppose -u = -g + 4*t, -2*g + 3*t = -63 - 2242. Is 6\/(-33) - g\/(-11) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3567 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1233351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhp when three letters picked without replacement from {b: 1, n: 2, p: 2, h: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1245446?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6\/16)\/(1\/(-8)). Let z(p) = -2 + 4*p**2 - 2*p + 6*p + p**3 + 3. Give z(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -5*g. Let s be 33\/15 + 7\/(-35). Let d(y) = 86*y**2 - 173*y**s + 88*y**2. What is d(a(p))?\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41442023 (base 5) to base 4.\nAnswer: -1103311130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/90 and -94\/15?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89536, 1, 1\/9, 3\/4, 0 in decreasing order.\nAnswer: 1, 3\/4, 1\/9, 0, -89536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 - 1948 + 5*a - a - 1309.\nAnswer: -a**2 + 4*a - 3257","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 99*g**2 - 399*g + 6. Let l be x(4). Let q(k) = -k - 16. Calculate q(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 3*b + 2*b**3)*(-26 + 47 + 39 - b).\nAnswer: -2*b**4 + 120*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i - 5. Let b be f(-9). Suppose -5 = -2*l - h, 4*l + 5 = b*h - 3. Let m = -11 - -6. Sort m, -4, l in descending order.\nAnswer: l, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 832*z**3 - 4*z**2 + 4*z - 3. Let v be n(1). Suppose -856 = -v*s + 821*s. List the prime factors of s.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0*(-2)\/(-8) + 14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2012.1 + 2012. Put 0.04, 1\/11, f, 0.4 in increasing order.\nAnswer: f, 0.04, 1\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -1)*1\/(-2)*-1. Solve 5*p = -2*h, f*p - 4*h + 22 = -p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 5*o**3 - 2*o - 6 + 2 - 2*o**2 in the form a + n*o + j*o**3 + r*o**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -8. Suppose 0 = x*s + 2*v - 22, 5*s - s = 2*v + 6. Suppose -16 = s*d - 136. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1\/5, -0.7, 2\/5, 0, 3\/4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*i - 50*i - 222*i in the form f + h*i and give h.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 - 134. Calculate the remainder when d is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*r - 18 = 0, 0 = -5*f + 10*f - 2*r + 10. Which is the third smallest value? (a) f (b) 5 (c) 6\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 188*g**2*z**4 + 8*g**2*z + 11*g*z + 3*z**2 wrt z?\nAnswer: 4512*g**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 15294*g**2 - 7648*g**2 - 6*g + 5 - 7643*g**2 in the form a*g**2 + w*g + o and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/12)\/(1*12\/(-8)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2031.935 litres to millilitres.\nAnswer: 2031935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.68007964 to four decimal places.\nAnswer: 1.6801","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 576313768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 AM and 10:59 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7980 - 7980 + 1185*f**2 to t + h*f**2 + b*f and give h.\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5195, -5194, -5193?\nAnswer: -5192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12869 + 12888. What is the remainder when 388 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a9 (base 12) in base 9?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -68*j**2 - 2*j - 3. Let d(i) = -343*i**2 - 11*i - 15. What is -11*a(p) + 2*d(p)?\nAnswer: 62*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5839687?\nAnswer: 7, 17, 31, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -72 - -167. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/707 and -1\/14?\nAnswer: 1414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -786 + 859. What is the remainder when 141 is divided by b?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 3*h**2 + 3577941*h + 2 - 3577941*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105161 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352*w**3 + 1902*w**2 + 343*w**3 - 1902*w**2.\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.32. Let t = -0.42 - j. Let h = -138.4 + 141.4. Which is the nearest to -2? (a) t (b) h (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/40)\/((-33)\/(-44)))\/((-3)\/(-666)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-245) - 12\/(-60)*-1?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -13*j**5\/5 + 112*j**3\/3 + 4*j**2 + 94. What is the derivative of y(m) wrt m?\nAnswer: -312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -13, -609.1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 69445*h + 5*h**2 + 69445*h - h**2 - 138890*h. Let g(p) be the third derivative of -23*p**4\/24 - p**2. Calculate g(a(u)).\nAnswer: -92*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.6 - -0.6. Let c = -1 - -7. Let k = c - 5.6. Sort b, k, 4 in decreasing order.\nAnswer: 4, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34803365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o + 22 + 3 + 4. Is f(-13) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(5500)*1 + sqrt(55) - sqrt(55))\/sqrt(11) + 5*(sqrt(125) + -4))*-2)**2.\nAnswer: -140000*sqrt(5) + 652500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 657 + -5?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 4*g + 1. Let v(z) = -87*z - 8. What is 6*m(f) + v(f)?\nAnswer: -63*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - (1 - 10))*(-2 + 3). Suppose 0 = 2*i - 279 + 87. Suppose 44 + i = s*x. Calculate the remainder when x is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -75*q + 3. Calculate o(1).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.07 + -0.07. What is the biggest value in 3, n, -1\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(432)*-1 + sqrt(12)))**2.\nAnswer: 18\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1068.\nAnswer: 5\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -7) + ((-15)\/(-50) - (-231)\/(-70)). Is -4\/8625 less than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418397 < -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 160301 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(196)\/(sqrt(16)\/sqrt(4)))\/(sqrt(21)\/(sqrt(3)*2)).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/33))**41*((a\/(a\/(a*a**(-18\/5))))\/a)\/(a\/((a\/(a**(-12)*a))\/a)) assuming a is positive.\nAnswer: a**(1261\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 48 - -37. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7717, -15437, -23157, -30877, -38597, -46317?\n\"Answer: -7720*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 42bc6 + -5?\nAnswer: 42bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 t when two letters picked without replacement from {i: 1, o: 2, t: 1, m: 1, y: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 120888095.\nAnswer: 120888094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3417300 and 1125?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -345.71 to the nearest integer.\nAnswer: -346","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2796130 is divided by 6327.\nAnswer: 5923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c + 15*c - 29*c + 2295 = 0 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176802*y + 175852*y - 59850 = 0 for y.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 + 46647*j**2 + 139962*j + 93312 = 0. Calculate j.\nAnswer: -2, -1, 15552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k = 8. Suppose k*x = 75 - 27. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29073, -28920, -28577, -27972, -27033, -25688, -23865?\nAnswer: -21492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -3*b - 12. Suppose 3*y - r + 10 = 0, 0 = b*y + y - 2*r + 16. Let p(m) = 4*m**3 + 0*m - 5*m**3 - 5*m**2 - m. Give p(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u**3 - 45*u**2 + u. Let c(p) = 13*p**3 - 134*p**2 + 3*p. Calculate 2*c(n) - 7*t(n).\nAnswer: -2*n**3 + 47*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) 2900 (c) -0.0411\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -261 + 1405. List the prime factors of h.\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.747? (a) 4 (b) 0.7 (c) -1\/4 (d) -188\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -251542 and -594513.\nAnswer: -846055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1)*(-5400)\/27*2. What is the greatest common divisor of u and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + 0*t)*(t + 0*t + 3*t) - 2*t**2 + 3*t**2 + 0*t**2 + (-5 - t + 5)*(1 + 3 - 2)*(-t + 4*t - t).\nAnswer: -11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48\/(1*(-3 + 4)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 1:56 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3715692 a multiple of 2217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35951970.6 minutes to weeks.\nAnswer: 3566.66375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1360?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 244*r**3 + 2*r**2 - 88. Let j(n) = -245*n**3 - 3*n**2 + n + 85. Let o(q) = -2*j(q) - 3*s(q). Find the first derivative of o(d) wrt d.\nAnswer: -726*d**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -344461 times -3?\nAnswer: 1033383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 2*h**3 + 20.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c. Let r = -13 - -13. Let m(o) be the first derivative of r*o**2 + 3 + 0*o + 1\/3*o**3. What is j(m(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -27*w**2 + 8. Let i(k) = -7*k**2 + 2. Give -9*i(x) + 2*m(x).\nAnswer: 9*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3965.00001703 + 3965. Round h to 6 decimal places.\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 2*h - 7. Let q(d) = -d**2 + 3*d - 8. What is 3*j(t) - 2*q(t)?\nAnswer: -t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -o**2 + o**4 + o**2 + (-6*o**3 + 4*o**3 + 0*o**3)*(o + 2*o + 6*o) - o**2 - 7*o**4 + 0*o**2 + 3*o**2 as f*o**4 + d*o**3 + x*o + y*o**2 + i and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1991 + 2*r + 1991.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttfthhhsswtf. What is prob of sequence hsh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039?\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -1627 - 26695. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*k**3 + 9498 - 9498.\nAnswer: -195*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000954 to the power of 1\/2, to the nearest integer?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (5 + -6 - -2) + -1 + 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 7, c: 6}. What is prob of picking 2 c?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*v - 7*m - 36, -34*v = -970*m + 971*m - 96 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o + 5*o. Let q be (-6)\/4*(-3 + o). Suppose -3*a - d = -20, 16 = 4*a + q*d + d. Solve x + x = -a for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*o - 26*o + 90 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -2) + (4 - 3) + (-3822 - -3779)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**3 - 3294*r + r**3 + 3294*r.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 223430881?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -160 + 173. Suppose -2*b = 4*j + 56, -p*j - 85 = 4*b - 14*j. Which is smaller: b or -21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 21. Suppose g + 73 = 6*g + 2*z, -5*g + 69 = z. Let v be i(g). Suppose -3*t + 30 = -v*t. Let f(u) = u**2 + 6*u + 4. Determine f(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223935.\nAnswer: 3, 5, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggigkgkkgiickg. Give prob of picking 2 i and 2 k.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 - 5*v**2 + 5*v - 9. Let f(h) = -2*h**3 + 3*h**2 - 3*h + 5. Give 3*c(m) + 5*f(m).\nAnswer: -m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x - 7. Let m(r) = 2*r + 15. Let k(h) = 13*l(h) + 6*m(h). What is k(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1086.6 - 16255.\nAnswer: -17341.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -p**3\/3 - 5*p**2\/2 - 5*p - 145. Determine r(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 260663870 and -63.5?\nAnswer: 260663933.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 25*c**2 - 4*c + 46. Let p be h(25). Let b = p - -367. Is b a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33100 + -323101?\nAnswer: -1022201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, i: 2, p: 4}. Give prob of picking 2 p and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 z when four letters picked without replacement from {b: 9, z: 3}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, -0.2, 2.95, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8.85 * 5\nAnswer: 44.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*j + 2*j - 4*j)*(-3 + 5 + 0 - 4 + 6 + 2 + 2 - 2 - 1 - 1 + 0 - 1 + (1 - 3 + 4)*(-4 + 3 - 2) - 19 + 22 + 103) as o + z*j and give z.\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (180 - (-16380)\/(-84)) + 6\/(4*(-1)\/(-62))?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3\/5, -75173106 in ascending order.\nAnswer: -75173106, -3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -7*c - 5*o + 8, 32 = 4*c - o. Solve 20 = -6*w + c for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -585257*z + 414205 wrt z?\nAnswer: -585257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 12 = -5*n + 3*n, -2*k - 5*n - 11 = 0. Let 2\/3*a**3 - 2\/3 - k*a**2 + 2*a = 0. What is a?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54124 is divided by 933.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (9 - (-1 + 4)) + -5 + -10 + -4.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -20 - (-9 + 2 + 4 + 9)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 41530 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - a**3 - 4 - a**4 + 5 + 0*a**3 to t*a**4 + r*a**2 + p*a + s + n*a**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 7. Let q = -4 - k. Let p = -0.3 + q. What is p rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(81 - (-148426)\/(-1833)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 289, -9.\nAnswer: -9, -3, 289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.462094 rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 1:22 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 815*w**2 + 11999*w + 798. What is p(800)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -132 - -144 - (20 + (3 - 9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, -5\/3, -35, -0.5, -237 in descending order.\nAnswer: 5, -2\/7, -0.5, -5\/3, -35, -237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 at least as big as 263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 21 = -16. List the prime factors of d\/(-2*(-3)\/(-6)) + 299.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3953, 7881, 11767, 15605, 19389, 23113?\nAnswer: 26771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116913, 233835, 350767, 467715, 584685, 701683?\nAnswer: 818715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -40? (a) 0.2 (b) -11 (c) -0.2 (d) 1.7 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b - 2*b - 2*b)*(3*b**3 + b**4 - 3*b**3) + b**5 + 2*b**2 - 2*b**2 - 3*b**3 + 3*b**3 + 3*b**5 - 3*b - 32*b**5 + 5*b**2 - 3*b**2 + 27*b**5.\nAnswer: b**5 + 2*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -3*h - 6, 3*j - 15*h + 10*h = 26. Let t be (2\/(-2))\/(3 - (-425)\/(-110)). Is j greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 123.5. Which is the second biggest value? (a) d (b) 1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 781368026?\nAnswer: 2, 109, 211, 16987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1357*y - 3775. List the prime factors of v(25).\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.68641532 to 1 dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 15*b**3*o + 8113257*b**3 + 3955*b*o**2 wrt o.\nAnswer: 15*b**3 + 7910*b*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 - 125. Suppose 3*a - 18 + 3 = -v*t, -5*a + 5*t + 55 = 0. Suppose 5*h - 3*h = a. Solve -1 = 2*x - 7*x + 4*c, -c - 16 = h*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 305*u - 318. What are the prime factors of j(18)?\nAnswer: 2, 3, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*i**4 - i**3 - 74*i**2 + 16577 wrt i.\nAnswer: 88*i**3 - 3*i**2 - 148*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 + 28. Let k = -39772 - -39785. Calculate the highest common divisor of i and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 12:58 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**5\/8 + 67*h**4\/8 - 855*h**3\/8 + 1989*h**2\/8 = 0. Calculate h.\nAnswer: 0, 3, 13, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/21 + 6\/(-21). Is 121\/f - (4 + -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 3*c + 138, 5*c = 2*i - 3*i + 50. Let m(h) = i*h + 30 - 30. Let j(v) = v**2. What is m(j(k))?\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*q + 3*q - 5*q)*(0*q + 0*q - 2*q - 5*q + 2*q + 4*q + (1 - 2 - 1)*(3*q + q - 2*q) - 2*q + 0 + 0) as f*q**2 + g*q + l and give f.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 153679*k**3 - 323384?\nAnswer: 461037*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = m - 1. Let i(k) be the third derivative of 11*k**6\/120 - k**5\/60 + k**4\/12 + k**3\/6 + k**2. Is i(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 2*g = -8334746 - 4905244, -3*g - 3309985 = -p. Round p to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.99 + -10. Let d = h + 0.21. Which is the closest to d? (a) -0.04 (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2731*z**3 - 3*z**2 - 14*z**2 + 15*z**2.\nAnswer: 2731*z**3 - 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3191107 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 8*y + 24. What is the lowest common multiple of n(-8) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*m**(2\/3)))*m*(m*m\/(m\/m**(2\/17)))\/m)\/((m*m*m**(1\/4))\/m)**(-10) assuming m is positive.\nAnswer: m**(1661\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, i: 2, z: 2, f: 2, o: 1}. What is prob of picking 1 s and 2 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5583692.000007 + -5583688. Let t = j - 4. Round t to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34100 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: Let -5*i**4 - 327*i**3 - 110*i**2 + 1308*i + 520 = 0. Calculate i.\nAnswer: -65, -2, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(48) + sqrt(216)\/sqrt(8) + ((sqrt(48))**2 + -1 - (sqrt(6)\/sqrt(2))**2*5).\nAnswer: 7*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*v - 48*v + 25*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -2. Let n be (-1)\/m + 14399996\/(-16). What is n rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 4. Suppose 4*p + 12 = 0, f + g - 25 = 5*p. Let b = f + 0. Solve 3*n - b*u = 15, 5*n + 0*n - 4*u = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 312052927?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 9. Let t = 15 - 25. Let c be j(t). Let p = 0.3 + 1.7. What is the closest to p in -5, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 10639*z - 4127814. Calculate y(388).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 13*n + 15*n + 1.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 27 - 14 = -4*a, -a - v = -10. Solve 4*w - a*w - 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979844 a multiple of 927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Let y = -277 - -265. What is the units digit of y\/t*154\/(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 4 + 18 = 0. Let u be (-8)\/(-6) + (-1)\/3. Suppose -3*d + 2 = -u. What is the greatest common divisor of h and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663504 and 17664?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 26 = -34. Let d = l + 16. Let c = 14 + d. Solve 0 = 4*f - 4 - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 c when two letters picked without replacement from {i: 1, e: 1, l: 1, r: 2, c: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l + 836. Let m be 2\/(-21) - l\/462. Is 1 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 0*i. Suppose -5*v + 140 - 45 = i. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 161*g**3 + 160*g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 957?\nAnswer: 60291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24608301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -188420, -377501, -566582, -755663, -944744?\n\"Answer: -189081*b + 661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6255 and 42951?\nAnswer: 644265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0434 from -13.8.\nAnswer: -13.8434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-60))\/(-129*58\/(-409016))?\nAnswer: -82\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (h**3 + 0*h**3 + 0*h**3 + (1 + 0 - 3)*(762*h**3 - 220851*h**2 + 220851*h**2))*(-2*h - h + h) as u*h**2 + v*h + b + c*h**3 + y*h**4 and give y.\nAnswer: 3046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f + 9. Let w be q(-2). Which is the closest to -1? (a) -0.1 (b) w (c) 3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.999999416 + -7. Round t to seven dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) -2 (c) -1\/3 (d) 0.3 (e) 245247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/22 + (-5274)\/33. Let n be r\/(-50) + (-1)\/5. What is the greatest common divisor of n and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3676190 is divided by 200.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 93907 to the power of 1\/2, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -1) + 5 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000010111001 + -101?\nAnswer: -1000010111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -1, -204\/11, 4 in increasing order.\nAnswer: -204\/11, -1, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -4 (c) 1.1 (d) 12 (e) 0.24 (f) -0.098\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.55354366 to one dp.\nAnswer: 13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -190 + 188. Sort 0.1, 8, b in descending order.\nAnswer: 8, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11114441 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**2 + 10981*y\/2 + 2283085\/2 = 0. Calculate y.\nAnswer: -1591, -1435\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2566 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 5*v + 16 = -5, 21 = 3*b + 3*v for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 + -106.3. Let z = r + -7. Which is the third biggest value? (a) z (b) 3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -10*b + 14. Does 7 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -4\/7, -106681 in descending order.\nAnswer: 0.2, -4\/7, -106681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + n + 0*n)*(-4*n + 4*n + 2*n) + (4 - 1 - 1)*(-16*n**2 + 5*n**2 + 9*n**2).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 6*m**3 - 4*m**3 - 2*m**3 - 2*m to d*m + w + r*m**2 + j*m**3 and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.68 > 903?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 33 = -12*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*w**2 + 433*w + 38*w**2 - 435*w in the form r + z*w**2 + g*w and give z.\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14008385 and 148.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 38565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-2*sqrt(2304))\/(-4*(sqrt(72) + sqrt(72) + 4*sqrt(72) - sqrt(72))))**2*-1.\nAnswer: -72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1777 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11320960 by -23104.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - -2) + (2 - 8) + -24?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 1a9246?\nAnswer: 1a9242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28184508.\nAnswer: 2, 3, 11, 103, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111220 (base 3) to base 12.\nAnswer: 1aa3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {v: 3, q: 6, t: 3, l: 1, x: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((34\/4 - 3)*-4)\/(1*17). Sort -13, 2, p in decreasing order.\nAnswer: 2, p, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -86732274+-5\nAnswer: -86732279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -467*q**2 - 4621*q**2 - 272*q + 336*q + 101124*q**3.\nAnswer: 4*q*(159*q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 27*b + 2 + 262*b**2 - 9*b - 17*b + 414*b**2. Let p be o(-2). Let i = p + 73. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 18*x - 5. Let p(o) = 2*o - 1. What is 3*p(w) - v(w)?\nAnswer: -12*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**5 - 84*b**4 - 624*b**3 - 1984*b**2 - 2304*b.\nAnswer: -4*b*(b + 4)**3*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 268667.04 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**3 - 5*o + 5. Let z(g) = -13*g**3 + 1 - 7*g + 6 + 0. Determine 7*w(m) - 5*z(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 630010456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -1215?\nAnswer: -1214.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 181 = -2*s, 79 - 548 = 5*s - 2*t. Let n = s + 184. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 38665392393 from 472.\nAnswer: -38665391921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -120, 0.01, 0.4, -0.1?\nAnswer: -120","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/3*c**7 - 19*c + 0*c**3 + 3 + 1\/15*c**6 + 0*c**5 - 3\/2*c**2 + 11\/6*c**4. Find the third derivative of p(i) wrt i.\nAnswer: 840*i**2 + 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m = 21. Let p(y) = -y**3 - 6*y**2 + 7*y + 1. Let o be p(m). Let l(t) = t**2 + 2*t - 12. Let k be l(-5). Solve -k*w + o = 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 51061, 51113, 51165?\n\"Answer: 52*h + 51009","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6325 divided by 575.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -401e38 - -3?\nAnswer: -401e35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 243 = 3*z, -12*k - 5*z + 245 = -8*k. Solve -3*v - 9*v - k = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 h when two letters picked without replacement from {h: 2, x: 5, l: 2}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1255 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*j**2*y**3 + 1030*j**2*y**2 - 10697693*j*y**3 - 3194*y**2 wrt y?\nAnswer: -24*j**2 - 64186158*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24991 and 2881?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c - 22. Let m = 41 - 28. Let b be t(m). Let v = 453\/7 + -2139\/35. Does b = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 1002*w**2 - 3*w + 1001*w**2 + 4*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3134 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:31 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 4*h - 7. Let c be x(-6). What is the units digit of -1 - (-1 + (0 - c))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-49) + 184\/(-56))*2 - 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-27) - (43\/(-15) - -2)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 36 = -4*h, 5*r - 45 = 5*h + 2*r. Let z be (-4)\/18 - (-25)\/h. Let q = 7 + z. Let o(f) = f**2 - 3*f + 3. Determine o(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.5, -3, -2\/5, 14\/9, 1, 0.3 in descending order.\nAnswer: 14\/9, 1, 0.3, -2\/5, -3, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 - 7*y**2 - 2*y - 9. Let p be n(7). Suppose 15*t + 1960 = 25*t. Let x = p - t. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-18))\/q**18*(q*q**(-1\/10))**(-23))**(-2\/39) assuming q is positive.\nAnswer: q**(197\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2637317.760261 and -0.4.\nAnswer: 2637317.360261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**34*l**21)\/((l\/(l*l**(-23)))\/l)**(-19) assuming l is positive.\nAnswer: l**473","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10170 + -1607. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -7.7, 28.4, -28, -7?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 0.2, 4, -2\/5, 85?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 32 = -16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20a2 + -15?\nAnswer: 208d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*x**3 + 112*x**3 - 58*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 432\/(-117)*611\/94.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + m)*(-24115 + 24101 + 6*m**2 - 22*m**2).\nAnswer: -32*m**3 - 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6a (base 12) to base 4\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w**2 - 6*w + 8. Let l be i(-2). What is the second smallest value in l, 0.8, -24?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of 1357*d**2 - 3408*d - 3075. Differentiate v(h) wrt h.\nAnswer: 2714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 12131340121?\nAnswer: -12131340141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 262 = -438. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46 + -42?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*w + 0*w + 0*w)*(-4 + 2 + 3) + (-1 + w + 1)*(1 + 0 - 2))*(1470 - 1024 - 800).\nAnswer: -708*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2*q - 16, 4*q = j + j - 14. Let s = j + 1. Let g = 112.06 + -112. Sort 2\/19, s, g in decreasing order.\nAnswer: 2\/19, g, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 0. Let m be (-4)\/p - 175\/2. What is the units digit of m\/(-10) - 1\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*g - 37, 2*y + 27 = 5*y + 4*g. Suppose 33 = 4*m + y. Let p(c) = -5 + c - 3*c + 4*c - c. Determine p(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*i - 5139 = 0, -2*i + 2049 = g - 507. Calculate the highest common divisor of g and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130834381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15263217.\nAnswer: 3, 1695913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) 0.12 (c) -4 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/20 - 822\/(-548)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -9*o**2. Let x(t) be the third derivative of -t**4\/12 - 3*t**2. Give w(x(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.146, -0.3, -0.08, 0.27, 5, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -9*l + 44. Let h be z(0). Suppose 0 = -2*n - n - 69. Let u = h + n. Calculate the highest common divisor of u and 147.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s = 3*h + 4, 3*s = -2*h + s + 12 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371470 and 21538.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 20*x + 25. Calculate i(22).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-10))\/((-12)\/60). Let h(p) = 69 + f*p - 69. Let d(z) = -9*z. Give 2*d(b) + 5*h(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2844837432 to the power of 1\/4, to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235755728 by -8744.\nAnswer: -26962","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 77454\nAnswer: -1\/12909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a second in milliseconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - l - 1. Let g(u) = u**3 + 4*u**2 - 8*u - 4. Let h(p) = g(p) - 4*y(p). Find the second derivative of h(o) wrt o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0471729*-4\nAnswer: -4.1886916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 4. Let n be o(5). Let h be (-12)\/n*6\/(-4). Let g(w) = 2*w. Give g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -66. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**7\/84 + 17*q**4\/24 - q**3\/3 - 10*q. Let x(o) be the second derivative of m(o). What is the derivative of x(l) wrt l?\nAnswer: -30*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -76739966*f - 46599557 wrt f.\nAnswer: -76739966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1317 + 21652?\nAnswer: 20333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from dxznr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 490\/(-20)*12\/(-7). Calculate the highest common factor of j and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*v - 35 = 0, v - 1 + 11 = -3*i. Let o = 29 + -20. Let k = 4 - o. Are k and i nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 9*m**2 + 2*m + 14. Let i be p(-9). Let n(b) = -b**3 - 5*b**2 - 2*b + 10. Let s be n(i). Solve -3*x + s*t = 8, -3*x - 2*x - 3*t - 7 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guggsgggggssssssggsg. Give prob of picking 3 g and 1 u.\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 14*o**3 + 2*o**2 + 76*o + 242. Let c be l(-25). Round c to the nearest one thousand.\nAnswer: -219000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.835 + 2.835. What is the smallest value in 2, g, 1\/3, 7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/(-8))\/(35\/28). Let z(l) = -l + 3. Let c be z(4). What is the nearest to c in 3, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1436479 and 44.\nAnswer: 5745916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 3:14 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.02719 and 37206.\nAnswer: 37204.97281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5)**22*(z\/(z\/z**7))**(-40) assuming z is positive.\nAnswer: z**(-170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4341.\nAnswer: 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 7 = -19. Suppose -s*y = -2*y - 12. Calculate the remainder when 81 is divided by (y\/10)\/((-6)\/(-210)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmb when three letters picked without replacement from {b: 2, c: 1, m: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42242 is divided by 8724?\nAnswer: 7346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 0 + 2*v + (5 - 3 - 4)*(-v + 0 + 0) + 1253*v + 911*v + 621*v + (4*v - 3 + 3)*(1 + 0 - 2) to the form p + r*v and give r.\nAnswer: 2785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2255543 (base 6) to base 13.\nAnswer: 41118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/8 > 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 25. Let u be (-3)\/(-9)*0 - b. Solve -2*g = 4 - u for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of -2\/3*c**3 + 0*c**2 + 0*c + 4. Let n(m) = -6*m. Calculate n(a(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.3, 1, 0.142?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*n + 28 = 50*n - 22*n - 3*f, 3*n - 56 = f for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - -5. Let c = z - 16. Let g = -18786 + 18791. Sort g, -6\/11, c in descending order.\nAnswer: g, -6\/11, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*y + 2*y**5 + 3*y + 20*y**4 + 5*y**3 + y**3 - 10*y**2 - 10*y**4 + 9*y = 0. What is y?\nAnswer: -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.077303373 + -0.07664\nAnswer: 2.000663373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 26*n - 1425. Let d be q(55). Let s be (-1 + -9)*3\/(-6). Solve 2*y = s*y - 5*b - 4, 5*b = d*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16699.\nAnswer: 16699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 8. Suppose -30*a = u - 33*a - 137, 0 = -4*u - 2*a + 506. Calculate the greatest common factor of u and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 412*s - 1297*s - 9112 = 2228 - 3375 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**2 - 40 + 40.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of 9*z**5\/10 + z**3\/6 + z**2. Calculate the remainder when v(-1) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 182 = 2*t. Suppose -t*b = 2 - 44. Factor -1\/4 + 0*y**2 - 3\/8*y + 1\/8*y**b.\nAnswer: (y - 2)*(y + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 4. Let j(v) = -2*v**2 - 21*v - 7. Let d(y) = y**2 + 10*y + 3. Let u(a) = f*j(a) - 5*d(a). Is u(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v - 3 + 1 + 7 + 426*v**2 - 117*v**2. What is the units digit of h(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 5*a**2 - 3*a**2 - 2*a**2 + 20 to l*a + n + u*a**2 and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -335405*w**3 - 2015020*w**2 - 15545*w - 30.\nAnswer: -5*(w + 6)*(259*w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 3:22 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4650267 and 2289.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 177838980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 39*y**3 - y**2 + 5*y + 4545. Let i(n) = -19*n**3 + 3*n**2 - 3*n - 2273. Let r(k) = -5*i(k) - 2*x(k). Differentiate r(u) wrt u.\nAnswer: 51*u**2 - 26*u + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -92. Let w = -9 - y. Is w a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -69*z**4 - 6*z**3 - 6*z**2 + 38*z + 6. Let s(d) = d**4 + d**3 + d**2 - d - 1. Let y(f) = -j(f) - 6*s(f). What is the second derivative of y(m) wrt m?\nAnswer: 756*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**2 + 13*a + 1. Let p(u) = 3*u**2 - 19*u - 2. Let h(x) = -7*o(x) - 5*p(x). What is h(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-108 - 41*h + 108)*(-5 + 3 + 3) + (6*h - h - h)*(2 - 2 - 1))*(32 - 32 - 24*h) to q + b*h + t*h**2 and give t.\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 515523 - 242962. Suppose -39*p + n = -22*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16965 and 135720?\nAnswer: 135720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3\/3 - 58*v**2\/3 + 728*v\/3 + 1672\/3.\nAnswer: -2*(v - 11)*(v + 2)*(v + 38)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from lntllqntllltnt.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217, 379, 543, 709, 877, 1047, 1219?\nAnswer: 1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 569*i**2. Let g(t) = 14045*t. Give g(l(v)).\nAnswer: 7991605*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-8))\/(((-24)\/(-16))\/(9*(-132)\/(-72)))\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49b (base 14) to base 16.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of 1\/35*k**5 + 0*k**3 - 1\/42*k**4 + k - 1\/105*k**6 + 0*k**2 + 0. Solve c(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 236746 is divided by 472?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 37*c = 1 - 1. Does c = 2\/8173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 + 6*d + 10. Let f be z(-4). Let q be (-1 + f)\/4 + (-3)\/12. Suppose -5*m + 174 + 871 = q. Calculate the highest common divisor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 y when two letters picked without replacement from kbkkyukkbs?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 0*h**3 + 4*h**3 + (-1 - 2*h**2 + 1)*(-2 - h + 2) - 5*h**3 + 5*h**3 + h**3 - 2 + 2*h**3 + 2 + (9*h**2 + 7*h**2 - 4*h**2)*(-2*h + 0*h - 3*h).\nAnswer: -53*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 8 + 2*f - 7 - 1.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (-12 - -38) - 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 a, and 1 j when three letters picked without replacement from {g: 6, b: 3, c: 6, a: 2, j: 2, x: 1}.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1020, 1019, 1018, 1017, 1016?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/2 and 107\/136.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/10 and ((-2)\/(-28))\/((-9)\/477).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*u + 6377*u**2 + 32*u - 17*u to i + t*u + s*u**2 and give s.\nAnswer: 6377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 690.67 times 3.75?\nAnswer: 2590.0125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 2, t: 1, o: 8, x: 3, p: 2}. What is prob of picking 1 x, 1 o, and 1 w?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 305926139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 3 (c) -138 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 11:57 PM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + b - 2. Let k = 9 - 5. Suppose m = -1 + k. What is the remainder when g(m) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 3. Suppose -5*b - 45 = -4*c, 20 = -5*b - 5*c - 25. Calculate the remainder when k(b) is divided by (-9)\/6*(-196)\/441*9\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 690 - 685. Solve -c*b - 20 = -2*z - 8*b, -z = -2*b + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.97 - 15.9. Let i = t - 2.05. Which is smaller: i or 1\/6?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3826 - 1?\nAnswer: -3827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 62 - 0*(-2)\/4. Let v = 26 - p. Let c = 59 + v. List the prime factors of c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1452 + 1271. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, f: 7, d: 5}. Give prob of sequence wdw.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 29 + 4. Let i = 7 + l. Suppose 2*t + 10*u - 28 = 5*u, 2*u = -t + i. Calculate the least common multiple of 2 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1112\/(-12))\/(5\/180*8). Let z = -118 - l. What are the prime factors of z?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 > 26\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 8, -3, 2, 5 in decreasing order.\nAnswer: 8, 5, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 0.04257\nAnswer: -0.8514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3416)\/38 + (-26)\/247 - (7 + 1).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2, -0.5, 3, -15?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17026?\nAnswer: 2, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6539940*p**3 + 3269995*p**3 + 3270008*p**3.\nAnswer: 63*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 - 11*b**2 - 3*b**2 + 19*b**2 + b**2 - 15*b**2.\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 l when two letters picked without replacement from zbudlbkdblbzzbkkbb.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 326046*i + 64113*i - 65529*i.\nAnswer: -327462*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -35908, -36, -5 in decreasing order.\nAnswer: -5, -36, -35908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3, -0.01, -2, 2, -1\/6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96 + -56 - 28 - (1 + -12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**3 - 27 + 10 + 42.\nAnswer: 13*b**3 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15285409 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8255*s**6 + 3*s**4 - 227*s**2 - 50*s wrt s.\nAnswer: -990600*s**3 + 72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = 2*n + 14, 4*n = -h - 5. Let g(t) = -24*t**2 + 2*t + 2. Determine g(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 76 and 116?\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 29*l + 930. Let x = l - -35. Suppose -4\/11*f**x - 2\/11*f**2 + 0*f - 9\/11*f**3 + 0 = 0. What is f?\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -s**6\/50 - 3*s**5\/50 + s**3\/5 + 3*s**2\/10 - 3*s - 3. Let p(i) be the first derivative of d(i). Factor p(b).\nAnswer: -3*(b - 1)*(b + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 290, 0.4, 3\/7, -0.9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.2 + -15. Which is the nearest to 1? (a) 0.32 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*u = 96*u + 456. Is -58 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 3*w**5\/20 + w**2 - 26*w. Differentiate r(s) with respect to s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + -18. Let r(h) = -5*h**2 + 0*h**s + 0*h**2 + h**2. Let f(m) = 3*m. Calculate r(f(a)).\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 294264 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 26. Let c(z) be the first derivative of 7*z**3\/3 + 5*z**2\/2 + 2*z - 2. What is the units digit of c(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 18105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -1799*y - 2261. Let l(k) = k - 1. Let p(u) = -h(u) - 8*l(u). What is the derivative of p(b) wrt b?\nAnswer: 1791","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 19*2 + -4 + 5. Let h = 183 + s. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/9 - 4\/9*q - 1\/9*q**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 23*c**2 + 100*c + 103. Let f(s) = 11*s**2 + 50*s + 51. Let x(u) = -13*f(u) + 6*l(u). Let x(b) = 0. Calculate b.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -12*h**2 + 6138*h - 21353. What is i(508)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -5, -6\/1127, 1, 1\/10, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -9 + 3. Let h be (1\/b)\/(-3*5\/135). Suppose 2*n - 161 = 5*q + 142, -h*n - 4*q = -489. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 450 and 87520?\nAnswer: 3938400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:37 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 7*w + 16. Let j(r) = -r**2 - r + 1. Let z(v) = 2*j(v) - t(v). Let g(k) be the first derivative of z(k). Differentiate g(x) with respect to x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8, -8, 2, 28, 76?\n\"Answer: l**3 - l**2 - 4*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 = 4*s - 545. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1809956 times 2.1?\nAnswer: -3800907.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12207 is divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -6, 4, -2 in descending order.\nAnswer: 4, -2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -19*l + 1544. Let p = l - 196. Which is the nearest to p? (a) -2\/9 (b) 2 (c) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5\/2 + 29*w**4\/2 + 24*w**3 - 4*w**2 - 40*w - 24 = 0 for w.\nAnswer: -2, -1, 6\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 103a35 + -6?\nAnswer: 103a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 2948541974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7492 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, w: 3, k: 4}. Give prob of sequence kek.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -30*(0 + 1 + -2). Suppose h = l, 5*l + 6*h = 5*h + s. Suppose 2*u - l = -3*u. What is the smallest common multiple of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -3*f - 2*f + 2745, 4*f = a - 932. Suppose -4*d + a = 3*v, d - 3*v = 231 + 14. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.634 - 0.39. Let s = 0.056 + w. Let d be 0 + 2 - (-3)\/(-2). Sort s, d, -1 in descending order.\nAnswer: d, s, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -5351871873?\nAnswer: 5351871874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 11, -0.4, 5 in ascending order.\nAnswer: -0.4, 5, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(4 + -1)\/24. Suppose -11*k + 314 - 292 = 0. Which is the smallest value? (a) k (b) 10 (c) f (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 + -12. Solve -f*z = -z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000081637 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:41 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 - 28*q**2 + 3*q - 66. What is s(28)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r**5\/5 + 826*r**4\/5 + 1144*r**3 + 14656*r**2\/5 + 16256*r\/5 + 6496\/5 = 0. What is r?\nAnswer: -406, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) 2\/15 (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4489262249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from owkjn. What is prob of picking 1 j and 2 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/19 in 18, 21, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*b + 1492 = 715 - 917 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giiggilg. What is prob of sequence ili?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 779983 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 823232259 is divided by 373?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(119)\/sqrt(7) + -4 + 0 + -1*1*sqrt(17))**2.\nAnswer: 24*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003826623 rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456 a factor of 24463479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2 - 8854674*n - 44273420.\nAnswer: 2*(n - 4427342)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m*p**5 + 3*m*p**2 + 2*p**6 - 26*p**3 + 29*p**2 + 1 wrt p?\nAnswer: 180*m*p**2 + 240*p**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -1.99. Let k = x + -0.11. Sort k, 3\/8, 0.\nAnswer: k, 0, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 9:38 AM?\nAnswer: 269","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*q - q - 441 - 934. Calculate the remainder when 8082 is divided by q.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6272, 25865, 58516, 104225, 162992?\n\"Answer: 6529*p**2 + 6*p - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7322859 (base 10) to base 12\nAnswer: 2551923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 12 + 17?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2170 and 100?\nAnswer: 21700","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzezzzccvezvzzz. What is prob of picking 1 v and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1458833689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x = 5 + 25 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109056, 436194, 981424, 1744746, 2726160, 3925666, 5343264?\n\"Answer: 109046*z**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 75255.561 rounded to the nearest 10?\nAnswer: 75260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1007843 - 5?\nAnswer: -1007848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(0 + (-1 - -2)). Let m be 7\/14 - y\/(-2). Find l, given that 2\/3*l + m - 2\/3*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74341 is divided by 386?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -17.23 and 332.2136.\nAnswer: 314.9836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*r**4 + 4*r**2 - 38.\nAnswer: -40*r**3 + 8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17533090?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((5 + 0 + sqrt(891) + 0 + sqrt(11) + (sqrt(66) + (-1*sqrt(66) - sqrt(66)) + sqrt(66) + sqrt(66) + sqrt(66))\/sqrt(6))*-5 + -3)*-1)**2.\nAnswer: 53760*sqrt(11) + 646144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -72 + 13\/7*m**2 - 2\/21*m**3 + 4*m. Suppose n(g) = 0. Calculate g.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1815 + 727*h + 1790*h - 452*h + 660*h wrt h.\nAnswer: 2725","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**4\/4 - 4971*t**3\/4 - 140049*t**2\/2.\nAnswer: -t**2*(t + 57)*(t + 4914)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155 + 145 + 7 + -13 + -43.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.74231 from 61991.\nAnswer: 61990.25769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 5. Let t(v) = 3*v + 15. Calculate 7*h(j) + 2*t(j).\nAnswer: 13*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 784286 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 3*t**2 + 135*t - 12. Let l(n) = 4*n**3 + 11*n**2 + 539*n - 44. Calculate 3*l(s) - 11*z(s).\nAnswer: s**3 + 132*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 19 - 2*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.92 + -1.92. What is the closest to j in 0, -1\/9, 0.4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 789*b**3 + 37851\/5*b + 62967\/5*b**2 + 5766\/5 + 63\/5*b**4 = 0?\nAnswer: -31, -1\/3, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20 - 160*t**3 + 36 - 16 - 2*t**3 + 3*t - 3*t + (2 - 2 - 2*t**2)*(-t + 2*t - 3*t).\nAnswer: -158*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.51 - 0.01. Let x = 3 - f. Let w be (-2)\/(12\/(-30)) - 8. Which is the second biggest value? (a) x (b) 2\/15 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 6. Let l be s(0). Suppose -4*y + 15 = -y. Solve y*r - 2*r + l = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.788 times 0.299\nAnswer: -0.534612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4*h + 37, -2 + 7 = n + 3*h. Let f = n + 6. Which is smaller: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 4*v**3 + 110528 + 60*v**3 - 110527. What is q(1)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h + 1. Suppose -j - 5*k + h = -25, j - 3*k = 3. What is the remainder when j is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 29*y + 10. Is x(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -2, 100, -12, 2, 4 in decreasing order.\nAnswer: 100, 4, 2, -1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -1 (c) 57433 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(75) + 5 + -5 + (3 + sqrt(108))**2 + -2.\nAnswer: 41*sqrt(3) + 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/3 - 4514*m**3\/3 + 2207824*m**2 - 3124478686*m\/3 - 3131106673\/3 = 0.\nAnswer: -1, 1033, 1741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -3*w**3 + 2*w**2 + 2*w - 2. Let h(l) = l**3 - 9*l**2 + 8*l - 2. Let c be h(8). Let m(y) = y**3 + y**2 + y - 1. Give c*m(j) + t(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 370 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(209) - (sqrt(209) - (sqrt(209) - (sqrt(209)*-2 + sqrt(209) - sqrt(209))))*4)\/(sqrt(1100)*-1))**2 + 2 + sqrt(152)\/((sqrt(24)*1)\/sqrt(3)) + 0.\nAnswer: sqrt(19) + 1739\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377049 is divided by 33?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-108.\nAnswer: -21.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - 0)\/((-1)\/(-4)). Suppose 5*h - t = 1 + 5, 12 = -2*h + s*t. Let u(w) = -w**2 - 4*w - 1. Let i be u(-4). Sort -2, h, i in ascending order.\nAnswer: -2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -20*c + 56. Let t be m(-7). Calculate the greatest common factor of 49 and t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/13, -4, 0.5, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14655, 29309, 43963, 58617, 73271?\n\"Answer: 14654*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 159*w - 149*w - 70 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**3 - 2*r**2 - 2*r + 5. Let g(k) = k**3 + 3*k**2 + 2*k - 4. Give -3*g(y) - 2*t(y).\nAnswer: y**3 - 5*y**2 - 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 + 2*p**2 - p. Let r be g(1). Let t = 331\/7 - 47. Which is the nearest to t? (a) 1 (b) -0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/4 + 7*l\/4 - 6437 = 0.\nAnswer: -164, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -5*k**2 - 25*k - 88. Give u(-3).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16363 (base 16) to base 6.\nAnswer: 1541111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/66657 and -23\/168?\nAnswer: 3732792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1581 + (19 + -29)*-2 is divided by 39?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let p = -3 - -11. Let w = p - 4. Let i(m) = -2*m + m + w*m. What is i(q(y))?\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, k: 3, b: 1, r: 5, m: 6}. What is prob of sequence rk?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112488 (base 14) to base 13.\nAnswer: 17526b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndejc. What is prob of picking 1 n and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**6\/40 + 3*d**4\/8 + d**3 - 5*d**2. Suppose s(c) = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-five halves of a week?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 14*n + 14. Let v(g) = 6*g**2 - 4*g - 4. Let s(x) = x**2 - x - 1. Let q(b) = 11*s(b) - 2*v(b). Suppose 9 = 3*t - 0. What is t*y(f) + 14*q(f)?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21001 divided by 1?\nAnswer: 21001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from uuugmppunppy?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 - 10*p - 3. Let u(x) = -7*x**2 + 19*x + 5. Let a(f) = 5*n(f) + 3*u(f). Let j be a(8). Is j greater than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57*p - 43*p + 30*p)*(6 + 0 + 6) as h*p + q and give h.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267964965.\nAnswer: 3, 5, 17, 350281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9504 - 847 + 9199 = -454*u - 122*u for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(21)\/sqrt(3))**2*6 + (sqrt(2268)*-1)**2)*3.\nAnswer: 6930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7346\/9*o**2 + 1040\/3*o + 32 + 1058\/9*o**4 - 5980\/9*o**3.\nAnswer: 2*(o - 3)**2*(23*o + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 160, -248, -656, -1064?\n\"Answer: -408*a + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.4 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zo when two letters picked without replacement from aaeoaaaoazee?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 50 - -15505212?\nAnswer: 15505262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*-7 - ((19 - 5) + (-1341)\/63)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8448307, 16896629, 25344951, 33793273, 42241595, 50689917?\nAnswer: 59138239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n = 14*n + 20. Solve -n*p + 18 = 43 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -96957545, -96957547, -96957559, -96957587, -96957637?\n\"Answer: -b**3 + b**2 + 2*b - 96957547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.5, 3, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 1. Let v = -527 - -527. What is the closest to v in q, 4, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -8.8. Let m = w + -7. Let y = 2 + -1. Which is the third smallest value? (a) m (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -633064.\nAnswer: 2\/79133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/2 (b) 5 (c) -1\/9 (d) 2157 (e) 1 (f) 4\/5 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25.33 + -183.27. Let w = g + 193. Let b = w + 11. What is b rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -575*d + 554*d - 84 = 0. Let y(m) = 2*m**2 + 18*m + 34. Determine y(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491 a factor of 34462145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 103667 and 208583.\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**4 + 140*w**3 - 1128*w**2 - 5888*w + 71680 = 0. Calculate w.\nAnswer: -7, 10, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -101110 (base 2) in base 8?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*v - 28 = -w, 5*w - 2*v = 53. Calculate the remainder when w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-24))\/(22\/(-12)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 13*a**2 - 10. Suppose 12*y = 14*y - 24. List the prime factors of m(y).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10021644 to the nearest integer?\nAnswer: 3166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14196480 to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 110 = -6*l. Calculate the highest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -4, -2, 2, 5 in decreasing order.\nAnswer: 152, 5, 2, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 28946453 a multiple of 158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 2*v + 2. Let c(a) = 8*a**2 - 17*a + 17. Calculate -2*c(f) + 17*u(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111110010101010011 (base 2) in base 13?\nAnswer: 1516b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -511?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c - 3. Suppose 0 = -5*y + 6 + 14. Let i = y + -8. Let d be r(i). Which is smaller: -2\/5 or d?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, -2, 0.51?\nAnswer: 0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 146 - 1020\/7. Let x = -100.3 + 46.4. Let g = -54 - x. Which is the closest to g? (a) 1\/4 (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = 2*o - 600, 3*o = 3*g - 876. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*z + 3. Let k be z\/(40\/334) + 1. Let v = k - 34. Is 5 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1488 - -1491. Sort -1, -11, 4, b.\nAnswer: -11, -1, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 15*g - 60. Let x be j(4). Solve r + 2 + 3 = x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 7 + 5 = 0. Let o be -3 - ((2 - -4) + t). Sort o, -1\/4, 5 in decreasing order.\nAnswer: 5, -1\/4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.2 (b) 3\/2 (c) 1\/20 (d) 253\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517 is divided by 87?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 133, 1\/3, -18.68, 2?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -7. Suppose -8 = -2*z, -m - 1 = -a*z + 5. Let t be (316\/8)\/((-3)\/(-6)) - -5. What is the highest common factor of m and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-183)\/(-1098) - (-2 + 255\/126)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 0*g + g + 2*g**3 + 9*g in the form u*g**3 + x + s*g**2 + t*g and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 19*r + 34. Suppose 105 = 2*b + 3*b - 4*a, -3*a - 15 = 0. Let p be s(b). Suppose p*x = 10*x - 4*x. Solve x = -4*l - 12 - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/5))**28\/(o\/o**(-5\/6)*o**6) assuming o is positive.\nAnswer: o**(-571\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 685238 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 8 = 4*u. Suppose 2*v - u = -0*v. Suppose 0*z = -v*z + 12. Solve -z*a = -8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208497173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -15 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10993 is divided by 414?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**4 + 133536*a**3 - a**2 + a + 34036 wrt a?\nAnswer: -96*a + 801216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvv when three letters picked without replacement from {f: 3, o: 4, t: 8, k: 1, m: 2, v: 2}.\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0178941 litres?\nAnswer: 17.8941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-4)\/(-4)*(-12)\/18)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -16, -19, -18, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/78 and (-2)\/7 - 1661\/(-154).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -28054, -112182, -252388, -448666, -701010, -1009414?\n\"Answer: i**3 - 28045*i**2 - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - v, 2 = -4*b + 2*v - 4. Suppose -3*s + 5*k = -239, -2*s - 2*k = -b*s - 170. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17160 + -16432. Is l at most as big as 6556\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 148 = -0*a. Let s(j) = 2*j**3 - 51*j**2 + 150*j - 17. What is the remainder when a is divided by s(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrcr when four letters picked without replacement from jcjkrrrr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyxxyxyxyyyxxyzxy. Give prob of picking 3 x.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1136155 divided by -12.\nAnswer: -1136155\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00100572986 to six dps.\nAnswer: -0.001006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -1 (c) -1\/2 (d) -3 (e) -2\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -8, 3, 6, -3, 259, 2 in decreasing order.\nAnswer: 259, 6, 3, 2, -3, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6480596 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -297 + 302. Let o be 2*-1 + 2 + -216. What is the units digit of (h + 2)*o\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002826238 to seven dps.\nAnswer: 0.0002826","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 352 - 349. Suppose -2*m - 4*k + 8 = 0, -11*m + l*k = -6*m - 72. Solve 4*y - 10*y - m = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccch when four letters picked without replacement from cvchcvvhhvvvh?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*m**5 + 1 + 97*m - 8*m**4 - 7*m**5 - 7*m**4 + 2*m**5 wrt m.\nAnswer: -60*m**3 - 180*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 1286.\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from aeuie?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 20*i + 24. Let r be v(-22). Let o = r - 52. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95106*j**2 + 1400*j**3 + 4*j + 3065*j**3 - 4*j - 90460*j**2 wrt j?\nAnswer: 26790","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*1\/2 + 9. Let k(o) = o**2 - 4*o - 8. Does 23 divide k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41415 divided by -1\nAnswer: 41415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 0 - 9. Suppose 11*j - 320 = 6*j. Let m be (3\/x)\/((-2)\/j). What is the greatest common divisor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1508, 3, 4 in descending order.\nAnswer: 4, 3, -1508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -880 divided by -220?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/16*(-4)\/(-24).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 53*j + 1003. Let d be l(-19). Put -1, d, 1308 in ascending order.\nAnswer: d, -1, 1308","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 11. Calculate the remainder when 17 is divided by z(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 37375 and 9?\nAnswer: 336375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/(d*d**8)*d))**(-18\/7)\/(d**(-1\/4))**(21\/5) assuming d is positive.\nAnswer: d**(-2733\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 13062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295 + 114 - 1475 = 41*f for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - 104*a + 315*a + 12 - 6 as l + h*a and give h.\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 906, 1365, 1828?\nAnswer: 2295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -213*w + 102. Give h(1).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*2*-4)\/((-2*sqrt(7776) - sqrt(54)) + sqrt(54)).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126887 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 8*c**2 + 7*c + 5. Let r be j(7). Suppose 0 = 2*d - 3*a - 60, a = -r*d - 4*a + 100. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + 9*i**2 + 33*i + 132. Give j(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 578310 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 90, 356, 804, 1434?\n\"Answer: 91*q**2 - 7*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 17 = -2*r - 5*o, 2*r - 10 = -o. Suppose -4*p = -r + 19. Let c(n) = n**2 + 9. What is the tens digit of c(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhhnhhhnhnhnh. Give prob of picking 3 n.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1846 is divided by 74?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, b: 4, a: 1, d: 1, r: 2, l: 2}. What is prob of picking 1 r, 2 b, and 1 a?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 9*m**2 + 13*m - 11. Let u(v) = -5*v**2 - 7*v + 6. Let l(y) = 6*p(y) + 11*u(y). Let g(f) = -12*f + f**2 + 2*f + 9*f. What is -g(a) - 3*l(a)?\nAnswer: 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -576 - -574.3. Is -16 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 745901?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -17 - (-797 + 798)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert c1666a (base 13) to base 9.\nAnswer: 8415528","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -358*a**3*t - 63*a**3 + 289*a*t*w + 851*w with respect to t.\nAnswer: -358*a**3 + 289*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3 - 149*z - 3 + 148*z. Let f(g) = 23*g**2 - 15*g. Determine f(w(h)).\nAnswer: 23*h**2 + 15*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4557*w**2 - 120198*w**2 - 12160*w**2.\nAnswer: -127801*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6003 and -0.18?\nAnswer: -1080.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -261346.859 take away 13.8?\nAnswer: -261360.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28779 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 562.\nAnswer: 5058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3 - 760297*z**2 - 760304*z + 4561788 = 0.\nAnswer: -3, 2, 760298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -173 in descending order.\nAnswer: -2, -3, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, -72, -356, -908, -1818?\nAnswer: -3176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*a**3*p*r - 431*a**3*r - 16*a**3 - 2490*a**2*p wrt r.\nAnswer: -5*a**3*p - 431*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -88 + 58. Let a = -9 - -13. Suppose a*m + 223 = o*k, k + 3*m - 4 = 33. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.5 (b) 0.4 (c) -2\/3145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-160)\/(-25))\/(4\/10). Let t(o) = -6*o**3 - o**2 + o. Let l be t(1). Let n = p + l. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Suppose m + d = 22. What are the prime factors of m?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 322*k - 1283. Let u be z(4). Solve 4*l + 12 = 3*q - q, -2*l - u*q = -18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3721355 kilograms to nanograms.\nAnswer: 372135500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 607.2 + 4991.8. Let f = g + -4920.2. Round f to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65 - 64.8. Which is the closest to -0.2? (a) v (b) -1\/2 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -9 + (-6)\/(6\/(-7)). Suppose 4*d - 4 = 24. Suppose k - 3 = d*j - 2*j, -2*k = -4*j. Sort -11, 2, z, j.\nAnswer: -11, z, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -64 + 67. Let h be -2 + (-28)\/(-4) - r. Suppose -3*f + 1818 = 4*b, 7*b - h*b - 2267 = -f. Is 57 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 152 = -4*c, -11 = -4*x - 7. Let a = 64 - c. Does 24 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110100110 + -100?\nAnswer: 1110110100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -2*q - 20, 39*l - 43*l = 3*q - 22. Put 44, 4, -2, q, 7 in increasing order.\nAnswer: -2, q, 4, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 2:11 PM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -101100?\nAnswer: -110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 5*y - 13 = 0, -2*c - 3*y = -3*c + 10. Let g be (((-117)\/(-12))\/13)\/(c\/8). Let a be g\/15 - (-66)\/10. Solve a - 17 = -5*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 52\/5 of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26158 at most 26124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.55 - 0.6. Let z = 0.2 - x. Let a = -0.28912 + 0.18912. Which is smaller: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrjdjjrjjjjrjrjjjr. Give prob of sequence jj.\nAnswer: 55\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*s - 2*s - s)*(-1 + 1 - 3) + 4*s - 2*s + 0*s)*(1 - 3 + 0)*(-39 + 32*s + 39)*(2 + 0 - 1) to the form c + z*s**2 + l*s and give z.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 6*q - 2. Let y be u(-4). Suppose r - y*r = -65. What are the prime factors of r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Let l be ((-10)\/2)\/(2\/(-2)). Suppose -2*c - l*w + 27 = o*c, 4*c - 24 = -4*w. Solve -1 = 3*p - c*g - 16, 0 = 5*g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 5*g - 4 + 11, -4 = -2*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19606748 and 14?\nAnswer: 19606748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1296 and 134217?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 369 + 288 = m, 637 = m + 3*o. Calculate the remainder when m is divided by (-27856)\/(-256) + (-27)\/(-144).\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -415840617 and -1000.\nAnswer: -415841617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - y + 2*y)*(y + 0*y**3 + 2*y**3 + 0 + 2).\nAnswer: 2*y**4 + y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -236, -359, -520, -713, -932, -1171?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of -a**2\/2 + 28*a + 596. Calculate j(24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4, 0*q + 5*s + 22 = q. Suppose 2 = -f + q*f. Suppose 6*t**4 + 2*t**4 + 2*t**5 - f*t**4 + 3*t**2 - t**2 + 6*t**3 = 0. What is t?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -321 in -8, -0.5, -0.04, 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1295, -2242, -3777, -5888, -8563, -11790, -15557, -19852?\n\"Answer: 2*u**3 - 306*u**2 - 43*u - 948","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6440 + 11442 = 0. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + -52 + 0 + 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -175*i**2 - 112*i**2 - 38*i**2 - 23*i - 26*i**2 - 185*i**2.\nAnswer: -536*i**2 - 23*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6435 divided by -5?\nAnswer: 1287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6 - 5*i**2 - 11 - 7 + 0*i**2 + 7*i. Let g(y) = -4*y**2 + 8*y - 25. Let o(u) = -3*b(u) + 4*g(u). Let l be o(7). Which is smaller: l or -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 + -1 - -2*1. Suppose -3*o - m*f + 22 = -4*o, 3*o + 3*f - 9 = 0. Let x(k) = k**2 - 6. Let u(d) = 0 + 1 + 2 - 4. Give o*x(b) + 11*u(b).\nAnswer: -2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.2 - -13. What is the third biggest value in -0.1, -2\/5, b?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004481199 rounded to 5 decimal places?\nAnswer: -0.00448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 145275734 divided by -2.\nAnswer: -72637867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 m when three letters picked without replacement from mwmmwmmm?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/10*42\/9. What is the second derivative of 22*m - 14*m + 11 + 21*m**5 - m**2 - j wrt m?\nAnswer: 420*m**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 521 - -604?\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -14228, 19, 16?\nAnswer: -14228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -248 - -2103. Calculate the smallest common multiple of x and 3710.\nAnswer: 3710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/33)\/(4\/(-88)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55133 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + 29 - (2 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 10986336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(55)*-1)\/(-2*sqrt(180)) + 2)*6 + 4)*-6.\nAnswer: -96 - 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030114 to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -39, -3, 47, 105, 165, 221, 267?\n\"Answer: -y**3 + 13*y**2 + 4*y - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -17*j**2 + 6727*j + 5. Let f(l) = l. Give y(f(m)).\nAnswer: -17*m**2 + 6727*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38148 and 2672961?\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 26*c - 1138. What is o(59)?\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-24 + -25 + 74)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -96239+131\nAnswer: -96108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42b28 (base 13) in base 12?\nAnswer: 59903","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -14, 19 in increasing order.\nAnswer: -14, -8, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822345491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h - 1. Let p be u(3). Suppose 0 = p*s + 5*q, 0 = -5*s - 3*q - q. Suppose s = -3*a - 2*f + 5180 - 1099, -f = -a + 1362. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 197, 797, 1753, 3041, 4637, 6517?\n\"Answer: -4*y**3 + 202*y**2 + 22*y - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1986, 1711, 1436, 1161, 886?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39.48 + 39. Let t = p + 0.68. Put t, 4, 7 in descending order.\nAnswer: 7, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-4968)\/(-45))\/(51\/3910)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197471130 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 22619 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0 (c) 0.0693 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -3840\nAnswer: 3840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4409*k - 10390*k + 1835*k**2 + 4257*k wrt k?\nAnswer: 3670","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3 and 267.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 55. Let k = 55 + r. Let a(j) = -j + 5. Calculate the remainder when k is divided by a(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 252 is divided by 31?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7*f**2 + 3*f + 1. Suppose -3*z - 4*g = -2*g + 9, -z + g - 3 = 0. Is 11 a factor of q(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18248, -13070, -4436, 7654?\nAnswer: 23200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7703267ug to grams.\nAnswer: 0.0000007703267","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -5. Let v(u) = u**3 + u**2 - 27. Let b be v(w). What are the prime factors of 4\/18 + (-480)\/b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11173 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 4*w + 7*w + 52. Let b(z) = -2*z**2 + 8*z + 1. Let l(u) = -u**2 + 8*u + 1. Calculate w*l(t) + 3*b(t).\nAnswer: -2*t**2 - 8*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1589\/4 + -395. What is the second biggest value in -1\/2, -5, m?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -65, -131, -231, -377, -581, -855, -1211?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 6. Let x = q - 1. Let v(w) = 0 + 0 + 4*w + 3 + 2*w + w**x. Give v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 94*a**5 + 180*a**4 + 34*a**3 - 41*a**2 + 11*a. Let q(v) = 19*v**5 + 36*v**4 + 7*v**3 - 8*v**2 + 2*v. Let u(d) = 11*q(d) - 2*s(d). Factor u(t).\nAnswer: 3*t**2*(t + 1)**2*(7*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18509, 37379, 56959, 77603, 99665, 123499?\n\"Answer: 59*u**3 + u**2 + 18454*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**3\/3 + 13*x**2\/2 + 23*x + 34. Let a be r(14). Let n(l) = -l + 18. Determine n(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjj when three letters picked without replacement from jmmmmpmmmmmpxmjkpmm?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**7\/840 + x**6\/90 + x**3\/3 + 6*x**2. Let q(a) be the first derivative of l(a). Find the third derivative of q(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 4\/(-6)*(-15)\/30. Which is the smallest value? (a) -0.4 (b) u (c) 2 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (880\/252 + 1). Let d = 1367\/7 + -196. Let h = d - n. What is the nearest to -1 in -1, -3, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.21, -13418, 6\/55?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-246)\/(-15) + 22\/(-55). Suppose i*v = 3*n + 18*v - 15, 0 = -4*n - 2*v + 20. Solve -4 = -4*t + f - n*f, -5*f = t - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 15 + 6)*(-5*q**3 + q**3 + 3*q**3).\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 182 - 42. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b*k**3*u**2 + b*k**2*u**2 + 6*b - 109*k**3*u**2 + 2*k**2*u**2 - u**2 - 15 wrt k.\nAnswer: 48*b*u**2 - 654*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -37 - -36.5. Let k(h) = h**3 + 12*h**2 + 18*h + 5. Let u be k(-10). Suppose 0 = 3*r + 1 - u. What is the closest to -2 in r, -1\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -15*j - 23. Let n(f) = -8*f - 12. Let u(z) = 5*n(z) - 3*t(z). Let x be 6 + -9 + 1 + 0. Let b(k) = -k - 2. Calculate x*u(s) - 9*b(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248888 or 248660?\nAnswer: 248660","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2\/5 + 6584*j\/5 + 25597056\/5 = 0.\nAnswer: -2292, 5584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 484 (b) -180 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182.57*1245.\nAnswer: 227299.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 112 = v. Let l be v\/(-10) + -1 + 3. Let k = 66.8 + -67. What is the closest to 0 in l, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a milligram in micrograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 454, 531, 676, 895, 1194, 1579, 2056, 2631?\n\"Answer: t**3 + 28*t**2 - 14*t + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*sqrt(7) + (0 + sqrt(7))*5.\nAnswer: 3 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of p - 5*p + 7*p - 6 wrt p?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167271 bigger than 0.027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 4*j**2 - 4*j + 4*j + 2*j**2 + 2*j**4 to i*j**4 + c + q*j**2 + l*j + n*j**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u - 3. Let v(k) = k - 1. Let m(f) = -i(f) + 3*v(f). Let r(c) = 114913*c - 7*c**2 - 229831*c + 114918*c. Give m(r(q)).\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(77)*1)\/(sqrt(77)\/sqrt(7)*5).\nAnswer: 2*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 3978?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -154717.8 rounded to the nearest one hundred?\nAnswer: -154700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7356 by -5.\nAnswer: 7356\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12475296?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/345395 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 382492?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - d = 6*j, 3*d - 10 = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -7. Suppose 3*o + 8 = 7*o. Which is the smallest value? (a) -0.1 (b) o (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 3*b**3\/7 - 12408*b**2 + 628750575*b\/7 - 1257153750\/7 = 0.\nAnswer: 2, 14475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4605 and -531503.89.\nAnswer: -536108.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5185489*q**3 + 186*q**2 + 20025*q?\nAnswer: -31112934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13593286.35s to weeks.\nAnswer: 22.475671875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*o**3 + 39*o**3 + 36*o**3)*(0*o - 3*o + 5*o) - 88*o**4 - 4130*o + 4130*o.\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*x - 204 = 0. Suppose -l - 63 - x = -r, -5*r - 5*l + 845 = 0. Does 18 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 2. Suppose -b + 2*b - 3*j = 26, -22 = -b + w*j. Suppose -3*z - 3 = 0, -2*c + 55 = c - 4*z. What is the remainder when b is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from wdwdrwdwdwrdww?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 5:21 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 11*j + 4*j)*(2*j - 3*j - j)*(2*j**2 - 3*j**2 + 4*j**2).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 25995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 5:50 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -728*y**3 - 3*y**2 + 12*y + 19. Let k be l(-4). Suppose -k = -5*x + 2*o, o - 11491 = 2*x - 30098. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1557163863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-56)\/30 + 9\/((-675)\/10). Let j(c) = -15*c + 3. Let f(r) = 4*r - 1. Let h(l) = t*j(l) - 9*f(l). Give h(5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/12 - 4\/(-6). Suppose s = -i + 4*w - 1, 2*i + 5*w = -3*i + 70. What is the lowest common multiple of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x - 4. Let t be f(-4). Let o be 4*18\/(-12) + 18. Solve t = d + 5*h + 23, -o = -d + 4*h - 2*h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*o - 2*o - 12 = 0, 9 = 4*t + o. Let j(x) be the second derivative of -t*x + 0 + 0*x**2 + 0*x**3 - 1\/4*x**4. Let s(a) = -a. Determine j(s(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17360502 and 38454?\nAnswer: 2958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4862*-16.\nAnswer: 77792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (157 - 18)\/(1\/10) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4150 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*f + 105*f - 120. Sort f, -5, 4.\nAnswer: -5, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c - 6. Suppose 2*t - 7*t + k = -22, 4*k = 4*t - 24. Let u(y) = 2*y - 5. Let x be u(t). Let z(i) = -5*i + 5. Give x*o(r) + 4*z(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.1, 1\/2, 0.01, -93 in descending order.\nAnswer: 4\/3, 1\/2, 0.01, -0.1, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(648\/10))\/((-10)\/(-12)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - b = -4*t + 41, 12 = -2*t + 4*b. Suppose 0 = 5*u + 1 - 11, -3*v = -t*u + 5. What are the prime factors of 0\/4 - (-131)\/v?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 881 + -881.000519. What is q rounded to 5 dps?\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 57.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 14161 = 2*w - 351, 0 = -v - 4*w - 3619. Let r = 145019\/40 + v. Calculate the common denominator of r and 31\/45.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026597 to 6 decimal places.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 7*w**2 + 8*w + 10. Let m be (-4)\/14 + (-408)\/(-56). What is the tens digit of b(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1713 + -222?\nAnswer: 14a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 PM and 6:18 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 3*k - 5*p, 5*p - 13 = -3 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -1000133?\nAnswer: -1000131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/9370 and 71\/41186772.\nAnswer: 205933860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 648 and 2853.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 73544 divided by 36772\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/11*21450\/(-585)?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1148 divide 853707452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(832))**2 + sqrt(1300) + 3.\nAnswer: -22*sqrt(13) + 839","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 191, 264, 337, 410?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-3)\/(-5) - (-3 + 2196\/(-15))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 2*n**2 - 4*n**2 - 1 - n. Suppose 49 = 4*s + 17. Suppose -3*a - 14 + s = 0. Calculate v(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 12, -5*f - 20 + 4 = -2*x. What are the prime factors of (f - -3)\/(1\/12)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1942080 by -323680.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214443 - 44545?\nAnswer: -303432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1793 + -5378\/3. What is the closest to 0.5 in p, 4, 0.6, 5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, z: 5, t: 4}. Give prob of picking 1 t, 1 i, and 2 z.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 970 divided by 5?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 113*z + 977. Let b(s) = 3*s**2 + 1 - 4*s**2 + 15*s - 14*s. Let u(l) = -5*b(l) + r(l). Suppose u(m) = 0. Calculate m.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 5:17 PM?\nAnswer: 6:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 878 divide 3500586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g**3 + 5*g**2 - 3*g + 11. Let a(v) = -v**3 + v**2 - v + 2. Let l(h) = -5*a(h) + s(h). Let n(j) = j + 10. Let d be n(-8). Calculate l(d).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the second derivative of -x**3\/2 + 7*x. Let l(d) be the third derivative of 0*d - 14*d**2 + 0*d**3 + 0 - 1\/4*d**4. Give l(t(r)).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1172185 divided by -5.\nAnswer: -234437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 53*z**2 + 2*z + 2. Let m be j(-2). Suppose -8*f - 4*q + 688 = 0, f - 289*q + 294*q - 104 = 0. What is the highest common divisor of m and f?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 12 + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-288)\/336 + -3 + 1002\/42. Solve -468*l - n = -473*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*c - 33. What is the tens digit of c\/(20\/(-6))*-22?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 17 = 4*l, 2 = a + l - 0. Let q(x) = x**3 - 4*x**2 - 6*x + 15. Let o be q(6). Is (3298\/o)\/(a\/(-3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 18*j - 18*j + 25*j**2. Let o(h) be the third derivative of -h**4\/12 - 3*h**2 + h - 136. Give r(o(l)).\nAnswer: 100*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6 - 4)*39\/(-6). Sort 3, -4, x in ascending order.\nAnswer: x, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.35 (c) 0.2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -2*m**5\/15 + m**4\/4 + m**3\/3 + m**2 + 1. Let p(q) be the second derivative of t(q). Let p(s) = 0. Calculate s.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -4 + 5*(1 + sqrt(112) + 0) + 1)*1)**2.\nAnswer: 240*sqrt(7) + 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 504 is divided by 101.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 + -2 - (1390 - 1422) - 10.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 137*p**3 + 2*p - 226*p**3 - 1028*p**3.\nAnswer: -1117*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8566 + -1?\nAnswer: -8567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.445 + -0.475. Is -0.1 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -a6?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54 and 8424?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -92934\/47101 + -3\/4958. Calculate the common denominator of i and 31\/(-70) + (-1)\/5.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0274864647 rounded to 4 dps?\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 + -0.4. Let v = 8.1 + -13.4. Let f = v + 5. Which is the nearest to z? (a) -2\/15 (b) 1\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7666 + -6533. What is the remainder when o is divided by 127?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2120 (base 4) to base 10\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in -3, 1\/3, 4, 3\/122, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 + 56*p**2 + 704*p + 2560.\nAnswer: (p + 8)**2*(p + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a microsecond in nanoseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8631*4\nAnswer: -34524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 22, -8 in increasing order.\nAnswer: -8, 22, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(245) + (-1 + sqrt(245) + 5 - sqrt(245))**2.\nAnswer: 7*sqrt(5) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 339 + -213. What is the remainder when k is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3 = 0, -4*n + 2*f = -10 - 164. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**3 + 284*k - 3*k**3 - 307*k - 19 - 6*k**2. List the prime factors of n(15).\nAnswer: 11, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74\/12 - 1\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) -23\/3 (c) 10\/9 (d) -212 (e) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2942891 divided by 763\nAnswer: 3857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/72 and -11\/7929.\nAnswer: 63432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -146294 or -146295?\nAnswer: -146294","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 612 and 1283092?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**3 + 6*t**2 + 6. Let r(p) = 3*p**3 - 5*p**2 - 5. Let i be (63\/(-42))\/((-3)\/10). Suppose -20 = -5*h, -w + 4 = i*h - 22. Give w*r(m) + 5*a(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 9*j - j**3 + 0 + 0*j**4 - 13\/30*j**6 + 0*j**5 + 0*j**2. What is the second derivative of p(n) wrt n?\nAnswer: -156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1144 by -7036.\nAnswer: -286\/1759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*f - 660 = -88*f for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 19*n - f = -319, 0 = 4*n + 2*f - 318. Calculate the smallest common multiple of 120 and n.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 9:27 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21025 divided by -156?\nAnswer: 21025\/156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h**3 + 16*h**2 + 24. Let j(s) = -5*s**3 + 8*s**2 + 13. Determine -13*j(d) + 6*o(d).\nAnswer: -d**3 - 8*d**2 - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**2 - 2*o**3 + 12*o - 5*o**2 + 5*o**3 as d*o + w + u*o**2 + t*o**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.25 in -1\/4, -3243, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a*g**3*i**2 - 3*a*g**3*i + 7*a - 2*g**2*i**2 - 2*g**2*i - 2*i wrt g.\nAnswer: 60*a*i**2 - 18*a*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.47 + 0.53. Which is the nearest to 0.07? (a) -2\/17 (b) v (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 238 - 1.1.\nAnswer: 236.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -3 (b) 0.5 (c) -47 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 381963892?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 + 3*i**2 - 6*i**2)*(2*i - i + 0*i) - 10*i**2 - 195 + 9828*i - i**3 + 8*i**2 - 9834*i as u*i + r*i**3 + y*i**2 + h and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111319 = 9997*b + 98618 for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 210*g - 215*g + 125. Solve y + 24 = g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -122146 + -700854. What is a rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12301524 + 12301515.9999912. Let l = p - -8. What is l rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 + 7*r**2 + r - 2. Let m be w(7). Suppose -m*u + 4 = -3*u. What is the first derivative of -1 - u*n**3 + 1 - 2 wrt n?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -21\/20*m**5 + 0*m**4 + 0*m**3 + 3*m + 0 - 2*m**2. What is the first derivative of y(l) wrt l?\nAnswer: -63*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 15 = -5, m + 6 = 2*r. Let w be (m\/10)\/(9\/810). Suppose 2*y - 47 = 3*v, v = -2*y + y + w. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.507 - -6.\nAnswer: 6.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in -0.4, -5, 40\/137, 0.4, -5\/2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {b: 4, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1179625.\nAnswer: 5, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2927398, -11709582, -26346552, -46838308, -73184850, -105386178?\nAnswer: -143442292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20785*s + 56399.\nAnswer: 20785","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 331*x - 25 - 1033*x + 26 - 307*x.\nAnswer: -1009*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29\/825 - 623687\/23100. Let y = u + 105\/4. Let d = 6 - 8. Which is smaller: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 319 a factor of 219016468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/f**(-9))**(3\/11))**(-4\/7))**(7\/5) assuming f is positive.\nAnswer: f**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -130346975 - -130346975.253999443. Let u = a + -0.254. What is u rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 190 and 104798\/122 + (1 - 5)?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.469 + 192.469. Let n = r + -191.17. What is n rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 1.47, -1\/4 in descending order.\nAnswer: 1.47, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/3 + 79*y**2\/2 + 78*y - 5526. Determine v so that h(v) = 0.\nAnswer: -78, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 23*a - 2 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 62*p + 60. What is z(63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5125, 5127, 5129, 5131?\n\"Answer: 2*g + 5123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2. Let u(x) be the second derivative of 13*x + 0 + 0*x**2 + 13\/2*x**3. What is u(d(c))?\nAnswer: 78*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21 + -2. Suppose 0*j = -j + h. Calculate the remainder when 37 is divided by j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -86326 + 517955\/6. Let w = 0.2 + -0.1. What is the second biggest value in 1, w, q, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/8 - (60\/225 + (-3)\/(360\/3362)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 4. Suppose -3*z + 2*h = -l, -4*z - 3*h = -0*z - 11. Suppose 2*m = 5*o - 241, -o = -0*m + z*m - 53. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/3)\/((-1)\/(-2)). Sort -3, j, 19\/3 in decreasing order.\nAnswer: 19\/3, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 6 and 751661.\nAnswer: 751667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 16*l - 21*l + 35, 0 = -55*l - 85 - 80 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118146 by -39382.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -239 + 181 - (-4 + -5 - -4)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1173 + -10.3?\nAnswer: -10.4173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 0.1 (c) -2.3 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = j - 13913, -j + 13904 = -0*j + 2*g. Let k = j + -417019\/30. What is the common denominator of -65\/9 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2183 and 285603.\nAnswer: 16850577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11*12\/(-198)*(38\/(-6))\/(116\/87)\nAnswer: -19\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2659 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 6. Let s(b) = -b + 5. Let k(m) = 5*s(m) + 4*v(m). Let p be k(5). Let x be (3 - 3) + 3 + p. Let u(c) = 7*c. Determine u(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 1000001000000011101?\nAnswer: 1000001000000011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 592*u. Let h(l) = 2587*l**2. What is h(c(f))?\nAnswer: 906650368*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 3:14 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*y**2 + 6*y + 18 + 21*y**2 + 9*y = 0. What is y?\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 196148.6 micrometers?\nAnswer: 196.1486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*z = -23*z - 648. What is the smallest common multiple of 16 and z?\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**3\/5 - 22*t**2 - 398*t\/5 + 102 = 0?\nAnswer: -51, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 4*k**2 + k + 1. Let z be p(2). Let m = z - 19. Suppose 2*l - 3*l = m. Solve u + 5 + 0 = l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006 = 152*k + 514 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 9. Let s(m) be the third derivative of 1\/3*m**3 - m**2 + 0 + 0*m + 1\/24*m**4. Calculate s(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1321002 (base 6) to base 7.\nAnswer: 422141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 5*d**2 - 47*d + 28. Give i(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*r - 2*r + 114. What is the least common multiple of r and ((-38)\/10)\/((-72)\/(138240\/96))?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/54)\/(380\/(-7068)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 5722625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 bigger than 8\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*c - 2\/5*c**3 + 8\/5*c**2 + 0.\nAnswer: -2*c*(c - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49\/3 + 101\/6. Let f(z) be the second derivative of 0 + g*z**2 - 1\/6*z**3 + 1\/12*z**4 - 2*z. Give f(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 16*c**2 - 9*c - 8. Calculate y(-16).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + (30 - 28) + 15.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 281*y - 19. Let g be m(4). Is 1105 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100010101000001 - -110?\nAnswer: 10100010101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 302.8234 millimeters in nanometers?\nAnswer: 302823400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5 = -4*h - 5*z, -h = -5*z + 13. Let q = 11 + h. Calculate the greatest common factor of 88 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 2*g - 1. What is s(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6828 take away -0.1211?\nAnswer: 6828.1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/3*3 + 2. Suppose 5*j - 2369 = t*p + 4446, -5*j - 6825 = 4*p. Is (-2)\/(-7) - p\/35 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 47 + 7 = -5*n, -3*n - 42 = -2*x. Suppose 0 = 2*i + g - 62, -4*g = -i - 2 + x. Solve i = -2*m + 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*x + 2681432112 - 2681432112.\nAnswer: -367*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 892 or 427986?\nAnswer: 427986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 r, and 1 m when four letters picked without replacement from {r: 2, x: 2, m: 1, n: 2, c: 1, t: 4}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -46210*n + 5730044. Give r(124).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let t(h) = -6*h. Let i(l) = -4*t(l) + 22*y(l). Let j = -72 + 77. Give i(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372) - (sqrt(1372) - (sqrt(1372) + 1*(sqrt(1372) - 4*sqrt(1372)))) - sqrt(1372))\/((-4*sqrt(484) - sqrt(484))*2).\nAnswer: 21*sqrt(7)\/110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 38*z + t + 1 = 0, -4*z + 12 = 2*t. Sort -4, z, -1, -3, 421 in decreasing order.\nAnswer: 421, z, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 + 14*w**3 + 27*w**3.\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6120 and 161831160.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/548 and -63\/1370?\nAnswer: 2740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Suppose 375*y + 4856 - 6094 = 10387. Let d(m) be the third derivative of 5\/24*m**4 + 0*m**3 + 0*m - y*m**2 + 0. What is x(d(c))?\nAnswer: 25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2976306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 335*x - 3507. Give r(10).\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a - 14. Let n be t(3). Suppose i = p + 6, 0 = n*i - 0*i - 3*p - 22. Solve c + 2 = -3*l, -5*l + 2*c = i*c + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 5*k - 5, -59*n + 56*n = 4*k - 1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 32 + 7. Suppose 3*a = -4*u + 54, a = t*u - a - 79. Find k, given that 25*k**3 - 1 + 15\/2*k + 7\/2*k**5 - 20*k**2 - u*k**4 = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1277 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 20*x**2 - 21*x - 9. What is i(-21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-40)\/12*(-7605)\/6. Suppose -2*j - c = -1275. Is 0\/(-1) + (2 - j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 2364?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + h + 27. Let b be j(-7). Suppose b + 42 = 3*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 - 13 = 12*g. Suppose a - 6*p + 3*p = 56, g*a - 314 = -2*p. Calculate the highest common factor of 434 and a.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1391 + -786. Let k = -1339 + q. What is k rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 83866*g + 838657. Give c(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of l**5\/30 + 2*l**2. Let u(d) = -8*d**2 + 15*d. Let w(h) = 9*h**2 - 18*h. Let y(c) = 6*u(c) + 5*w(c). Give p(y(a)).\nAnswer: 18*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -9) + (0 + 4)\/2. Put -4, n, 5, -5 in ascending order.\nAnswer: -5, -4, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6637545 divided by 442503.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-36 + 24 + 36 + 57)*(-5*v + 4*v - 5*v) to the form u + y*v and give y.\nAnswer: -486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 725341973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 74*l + 5444. Let m be o(-70). Calculate the greatest common factor of m and 638.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d + 0*d + 2*d - 2*d**3 - 4*d**2 - 2. Let h(c) = -3*c**2 + 109*c + 908. Let l be h(-7). Calculate m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4546721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 4)*(-2*p - 4*p + p)*(p - 1 + 1) to v*p**2 + y + h*p and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/6)\/(t**(3\/5)*t))**(-3\/16) assuming t is positive.\nAnswer: t**(43\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h - 40 = 0. Calculate the remainder when (-81 + 3)*(-1 + -1 + 1) is divided by -1 - 2 - (-190)\/h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(64) - (sqrt(64) - -3*sqrt(64))).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -853, -1637, -2349, -2989, -3557?\n\"Answer: 36*v**2 - 892*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 + 14. Let o(q) be the first derivative of q**4\/12 + 77*q - 14. Let y(i) be the first derivative of o(i). What is y(m(a))?\nAnswer: 4*a**4 - 56*a**2 + 196","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Is 273029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 4)*(y**5 - 3*y**5 + 0*y**5)*(-9 - 6 + 10).\nAnswer: 20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 2*m - 2. Let v be d(2). Suppose v*o - 9 = -o. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18315461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1995 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -339 - -338. What is the second biggest value in 81, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, i: 8, q: 2, r: 2}. What is prob of picking 1 i and 2 r?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -190353 - -190363. Let k = 1 + -1.5. What is the nearest to y in 3\/4, -4, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a + 1 + 5*a**4 + 3*a - 2*a**3 + 0*a in the form w*a + t*a**3 + m*a**2 + l*a**4 + r and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 285310685094 and 0.1666.\nAnswer: 285310685094.1666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 7*m**2 + 8*m. Suppose -37 = -7*t + 5. Let c be w(t). Suppose 4*x = v - 3*v + 8, 0 = -4*x - 8. Solve v*s - c = 4*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345 (base 8) in base 4?\nAnswer: 203211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w - w + w + (1 - 5 + 2)*(3*w + 0*w - 2*w) + 2*w + 7*w + 7*w + (3*w + w - 2*w)*(40 + 6 - 15).\nAnswer: 74*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**4 + 13*c + 3. What is the derivative of x(m) wrt m?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/(-6) + (9 - (20 - -10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 732287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.91 - 0.11. Let p = -0.6 + r. What is the third biggest value in 6, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1213, -1215, -1217, -1219, -1221, -1223?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39050 and 3203662.\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 625*c**2 + 313*c + 2.\nAnswer: 1250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48498, 48670, 48842?\nAnswer: 49014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -533 + 1008. Suppose 31 = 2*o + 2*x - 163, j = 5*o + 3*x. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -619 + 620. Let y(n) = 2*n**2 + 3*n + 2. Let r(z) = z**2 - z - 1. Let v(x) = 2*r(x) + y(x). Determine v(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3451283\/70 + 49303. Let a = i - -9\/14. Let v = 0.3 - 0.5. Sort 4, v, a in descending order.\nAnswer: 4, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -787584 divided by -8?\nAnswer: 98448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from gppppgb.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -34*r - 69 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 43, 37, -15, -113, -257?\n\"Answer: -23*s**2 + 63*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 701 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*d + 2079 = -10*d. Suppose 3*q + q - 44 = 0. Calculate the greatest common divisor of d and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.483 in 0.17, -1, 1\/7?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**5 + 26957*k**4 + 161691*k**3 - 404257*k**2 + 215608*k = 0.\nAnswer: -26951, -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/28)\/(-1))\/(-6)*2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-12)*74 + (-3)\/6. Let k(q) = -8*q - 214. Let d be k(-27). Calculate the greatest common divisor of d and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -425*t - 5739 = -2444 + 3930 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11c1 (base 16) in base 11?\nAnswer: 3462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**2 + 62 + c - 65 - c**3 + 4*c**3 in the form x*c**3 + w*c + m + j*c**2 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times 3895?\nAnswer: 77.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 5*l + 304034, 258*l = q + 263*l - 75996. List the prime factors of q.\nAnswer: 2, 7, 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 12. Let c = x + -3. Find the second derivative of -4*g**c + 4*g**2 + 36*g - 30*g - 5*g**5 wrt g.\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3749412 or -3749413?\nAnswer: -3749413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-198)\/6*10\/30?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3\/5 + 870*m**2 - 190836*m\/5 - 195184\/5 = 0.\nAnswer: -2218, -1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -2*v. Let w(i) = 3*i**2 - 2*i + 6. Let z be (0\/(-3 + 1))\/(-1) - 2. Let l(n) = n**2 - n + 3. Let q(f) = z*w(f) + 5*l(f). What is q(v)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, 1.32, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 + 4 - (-1 + -5). Suppose 4*v + 280 - 8 = 3*p, 0 = -p - z*v + 69. Suppose 123 = 2*a + 5*c, a - p = 3*c - c. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5139 by -17.\nAnswer: 5139\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.136 + 360.136. Let k = 355 - f. Let x be 9\/(-6)*4\/(-3). Which is the nearest to k? (a) x (b) -0.2 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 1170?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 13) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 11*j**2\/2 + 2*j - 2. Let w(p) = p. Let r(f) = -u(f) + 6*w(f). What is the units digit of r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 179.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602 = -5*r + 682. Let z = -15 - -13. What is the lowest common multiple of (0 - (z + -3)) + 3 and r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1210)\/(-3025)*13*5)\/(2\/3)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fttd when four letters picked without replacement from dmtfzbfdtffttdtft?\nAnswer: 15\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l**2. Let d(i) be the second derivative of -i**7\/120 - 73*i**4\/12 - 15*i - 2. Let o(u) be the third derivative of d(u). What is c(o(h))?\nAnswer: -1323*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/t**2))\/t)**(-36\/7)\/(t**(-2\/5)*t)**(-48) assuming t is positive.\nAnswer: t**(828\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) - (((-4*sqrt(405) - sqrt(405))**2 - sqrt(405)) + 5)) + (sqrt(420)\/(sqrt(42)\/sqrt(6)))\/sqrt(12).\nAnswer: -10130 + 19*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u - 8 = 0. Suppose n = -n + u. Let h be ((-6)\/4)\/((-1)\/n). Solve h*s = -2*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4529572 to the power of 1\/3, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 0.05944662?\nAnswer: 1.94055338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 5)*1\/(-1). Let d(v) = v**3 - v**2 + 6*v - 3. Let u be d(a). Let f = u + 386. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.146 - -0.39. Let s = -4382508 - -4382508.2439889. Let m = s - k. What is m rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -264*a**2 + 62836*a - 947. Calculate i(238).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -475521 (base 12) to base 16\nAnswer: -118ba9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from opobpopbpbppp. What is prob of picking 2 o and 2 b?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f = -33 - 135. Which is the nearest to 1? (a) f (b) 1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 11*u + 13. Let v be 0\/(2 - (3 + 1) - 0). Let d be (2 - v)\/(-2) - 9. Determine h(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 + 2*u**3 - u**3 + (2*u**2 - 3*u**2 + 2*u**2)*(2*u + 17*u + 4*u))*(15 - 7 + 7).\nAnswer: 390*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -6*l + 1. Let v = -12 + 0. Let p = -7 - v. Let h(x) = -4*x + 1. What is p*k(g) - 7*h(g)?\nAnswer: -2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13396\/(-170) + (-10240)\/(-800)?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2170 - -3120. Suppose 105*j + p = 115*j. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 9. Let n be d(0). Suppose -n*w + 16 = -2. Suppose -2*a + 20 = 5*j + w*a, 5*j - 5*a = 20. Solve 0*x = -j*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4 = -3. Let s(t) = -t**2 + t. Let c be s(0). Let k = y - c. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -837 + 2523 - 16*m - 840 + 12*m - 846.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 0*f + f)*(-3 - 2 - 1) + (543 + 96 + 219)*(-2 + 2 - 2*f).\nAnswer: -1728*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d - 2. Let m be y(-7). Let f = -19 + m. Is -2\/19 >= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - (-7 + 765999900\/(-10)). What is q rounded to the nearest one million?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 2255?\nAnswer: 2243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/(2\/30). Suppose -28*k - 9 = -19*k. Sort -2, u, k, 5.\nAnswer: u, -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -17*v**3 - 58*v**2 + 410*v + 11548. Let f(y) = -3*y**3 - 11*y - 2. Let k(b) = 6*f(b) - g(b). Factor k(a).\nAnswer: -(a - 34)**2*(a + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - 40. Let a be 1 + (-2)\/q + 363\/77. Let k = a - 3. Solve k*z = 8*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 2*k - 3*k - 238, -3*k - 236 = -i. Suppose -x = 3, i = 5*s + 3*x + 18. Suppose 16 = m - s. Does 31 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**11)\/v)**13\/((v\/(v**(1\/10)*v))\/v**(-1\/3)) assuming v is positive.\nAnswer: v**(-3907\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*1*2\/(8\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 18*v**2 - 15*v + 41. What is the remainder when 62 is divided by p(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 792 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 755? (a) -2 (b) 3\/7 (c) -0.1 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*z**3 + 23*z**3 + 12*z**3)*(25 - 29 - 18).\nAnswer: -418*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31951, 127794, 287533, 511168, 798699, 1150126, 1565449?\n\"Answer: 31948*v**2 - v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 6*t**6\/5 + 35*t**4\/6 - 61*t + 41. Let z(r) be the first derivative of y(r). Find the third derivative of z(d) wrt d.\nAnswer: 864*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3*s - 5, 2 = 3*d + 2*s + 2*s. Solve n + 4 = b, 2*b - 8 = d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -139, -329, -605, -973, -1439?\nAnswer: -2009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -41. Let r = -2 + n. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -205*t**3 + 132*t**3 + 231*t**3 + 2*t**3 - 2*t**3 + 3*t**3 + (-2 + 0 + 0)*(t**3 - t**3 - t**3) + 27*t**3 + t**3 - 8*t**3.\nAnswer: 183*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0 (b) -46 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from inininiaskn. What is prob of sequence ni?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h + 5*f - 185, 4*h + 3*f + 0*f - 183 = 0. Let u(o) = -o + 42 + 4*o**2 - h + 3*o + o**3. Let z be u(-3). Let n(t) = -t - 4. What is n(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11531520 divided by 192\nAnswer: -60060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104\/832)\/((-2)\/24).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28075 + -28071. Which is the nearest to -2? (a) 0.04 (b) 1.4 (c) 0.1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/200 - 119*u**5\/50 - 473*u**4\/40 - 118*u**3\/5 - 136*u**2 + 7*u. Solve o(i) = 0 for i.\nAnswer: -236, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -48. Let g be (2495\/25)\/(10\/(-50)). Let p = g - -502. Solve -p*r - x + 8 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*a**3 + 32972524*a**2 - 32972524*a**2 + 0*a + 0*a.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 1 + -2)*-1. Sort y, -2, -3 in descending order.\nAnswer: y, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or -1805?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jlelejelle. What is prob of sequence lllj?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kststuttks. Give prob of picking 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**3*x - 2670*h**3 - 2*h**2*x - 2*h**2 - h*x - 133345*h wrt h.\nAnswer: 24*h*x - 16020*h - 4*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)*(w**3*w)\/w*w\/(w\/(w*w\/(w**(-4\/3)*w)))*w**(-1\/5) assuming w is positive.\nAnswer: w**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3545\/2 - 533522\/301. Let i = 3\/43 + w. Let a = -3\/7 - i. Which is greater: a or 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 z when four letters picked without replacement from {f: 1, n: 3, u: 1, r: 3, t: 5, z: 2}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 91, 136?\n\"Answer: 45*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of u**5 + 121367*u**4 + 10*u**3 + 27*u**2 + 141824.\nAnswer: 60*u**2 + 2912808*u + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 35*r**3 + 7*r**2 - 19*r + 32. What are the prime factors of j(5)?\nAnswer: 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22983 and 6683?\nAnswer: 942303","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-28)\/(-8)*2)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 11*w + 29. Let t be g(13). Suppose t*a + 9 = 2*n, n = -2*n + 3*a + 9. Let z(u) = u + 59. Is z(n) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + 39. Is 20 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:06 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o - 12. Let f be l(-9). Let r(x) = 3 + 8 - 132*x + 133*x. Is r(f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w**2 + 30*w + 3. Calculate s(6).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/19 - 257196*p\/19 + 8268722802\/19.\nAnswer: 2*(p - 64299)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(6 + (-104)\/32).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*l - 2*f - 10, 0 = -2*l - 2*f - 4. Suppose l*o - 3*o = -36. Suppose 5*m = o + 84. What is the greatest common factor of m and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 342*i**2 - 16*i + 3. Let t(j) = -340*j**2 + 13*j - 2. Calculate 5*s(c) + 6*t(c).\nAnswer: -330*c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2\/7 + 30008*j\/7 - 21420.\nAnswer: -4*(j - 7497)*(j - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.51 (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18 + -14 - 54\/(-2). Suppose 3*d + w = 46. Solve 4*x = -4*s, d*s + 40 = 6*x - x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101001010010101 (base 2) to base 6.\nAnswer: 241513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 445 and 5429.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32592?\nAnswer: 2, 3, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 0 + sqrt(700) + 2)*1 + -1)**2 + 3.\nAnswer: 100*sqrt(7) + 728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4099930 divided by 4?\nAnswer: -2049965\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*q - 2*x + 3*x, 8 = -2*q + 2*x. Factor -1\/4*c**3 + 0 + 0*c + q*c**2.\nAnswer: -c**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8385484*m - 8385484*m + 3799*m**2 in the form o*m + v*m**2 + a and give v.\nAnswer: 3799","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 235 - 135. Suppose 2*w + o = g + 4*g, -3*g = 4*w - 60. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -140\/1647, 343 in ascending order.\nAnswer: -5, -140\/1647, 343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**4\/2 - l**3\/3 + 8. Find the third derivative of k(c) wrt c.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r + 13. Let x be z(-3). Suppose -846 - 5224 = -x*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 55. Suppose c*n = 4*o - 0*o - 102, 0 = 5*o - n - 138. Let a = 235 - 154. What is the remainder when a is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5*i = -8, 0 = 4*k - 4*i - 16. Suppose 3*f + 4*x - 419 = 0, k*x + 507 = 4*f - 3*x. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1314.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54409 (base 10) to base 6.\nAnswer: -1055521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 1765623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 44. Let o be 60\/(6\/4 - y). Let u be o\/(-50) - (-16)\/5. Solve w = 5*j, 2*j + u*w - 24 = -2*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**4*o**2 + 21*h**2*o**2 - h*o**2 - 7*h*o - 6*o**2 wrt h?\nAnswer: -72*h**2*o**2 + 42*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d**4*w + 6*d**4 + d*w - 27*w wrt d.\nAnswer: 60*d**2*w + 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 65021, 260104, 585241, 1040432, 1625677?\n\"Answer: 65027*w**2 + 2*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4861*x + 4856*x = -120 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 82 = 5*c, 2*m = 5*m - 12. Suppose -c*a = -19*a + 5200. Let o = a + -723. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 2*h - 100, -5*h = s - 7 - 198. Let k(z) = z**3 + 7*z**2 - z - 34. Let a be k(-6). What is the greatest common factor of a and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 37 (b) 4\/17 (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-1))\/g)**3)**(-4\/17)*(((g*(g*g\/(g**(-1\/4)*g)*g)\/g)\/g)\/g*g**0)\/(((g**(-6\/11)\/g)\/g*g)\/(g**(-1\/3)\/g)) assuming g is positive.\nAnswer: g**(-547\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + 64*h**2 + 500*h + 133. Determine z(-19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.004 from -2.66.\nAnswer: -2.656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 5*i - 32, -2*n + 14 = 3*i - 39. Calculate the remainder when 27 is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 12*l**2 + 11*l + 1. Let v be p(11). What is the greatest common factor of 5 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*g*q**2*s**2 - 2*g*q*s**2 + 2*g*q - 1080*g*s**2 + 4*q**2*s**2 + q**2*s wrt q.\nAnswer: -30*g*s**2 + 8*s**2 + 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 7 - (1 - 5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**4 - 1273*s**3 - 12662*s**2 - 40448*s - 40416 = 0. Calculate s.\nAnswer: -1263, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l**3 + 8*l**3 - 2*l**2 - 7*l + 2*l**2 - 6 - 7*l**2. Let p(w) = 3*w**3 + 4*w**2 + 4*w + 3. Let x = 0 + 4. Give x*y(m) + 7*p(m).\nAnswer: m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1653, -6149, -13489, -23673, -36701?\nAnswer: -52573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 + 3*w + 57.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d3 - 29?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 10) to base 16.\nAnswer: 1f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0262 + 2.4962. Let g = 39584 - 39583.9. Is v equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/2 (b) -3 (c) -0.4 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 0.2, -2\/9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 6*s**2 - 7. Let v(w) = -1. Let l(h) = -o(h) + 5*v(h). Let i be l(-6). Solve -i*g - 3 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-376)\/(-64) + -6 - (-1)\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b - 7. Let h be c(-5). Let y = -77 + 129. Let o be ((-2)\/5)\/(y\/(-10) - -5). Solve -2*m + 5*v + h = o*m, -m = -2*v - 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -3*z**4 - 37944*z**3 - 122939058*z**2 - 18719862120*z - 730197468075 = 0.\nAnswer: -6245, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -78491 to the nearest 1000.\nAnswer: -78000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15*(16\/(-200))\/(-3*(-5)\/150)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 10) in base 2?\nAnswer: 1000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 600 and 2068950.\nAnswer: 8275800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 n when four letters picked without replacement from {j: 5, n: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -268 + 276. Let q(v) = -11*v**3 - v**2 + v + 1. Suppose -5*u + u + 4 = -4*p, 3*p = -4*u - 10. What is the lowest common multiple of g and q(u)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, k: 1, i: 1}. Give prob of picking 1 k and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12 and -1.66403822115?\nAnswer: 13.66403822115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + 35 + 6 - 3*l - 62.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*j + 12 = 0, -3*k + 3*j + 27 = k. Let o be 4\/k - (-16)\/(-24). Let h = -1.3 - -0.3. What is the third biggest value in o, h, -0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 67*i - 67. Let l(q) = -7*q. Determine l(o(m)).\nAnswer: -469*m + 469","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 + 1.6. Suppose -w = 5*f - 9, 6 = 3*w + 2*f - 8. Suppose w*s + 15 = -1. Which is the nearest to -2\/5? (a) 4\/3 (b) s (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 5*w**2 + 5*w + 3. Let r be k(-1). Let z be -8*r\/(-6) - 2. Solve 5 = f, z*f + 5 = -5*a - f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - ((2 - 3) + 4 + -13 + 11)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -856, -2798, -6586, -12838, -22172?\nAnswer: -35206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wc when two letters picked without replacement from iwiwiwiwwwwiic.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 divided by 1370\nAnswer: 1\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 524\/2 + -78 + 78. Let f(p) = 2*p**3 + 3*p**2 - p - 2. Let z be f(3). Suppose -z = 6*s - y. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6387346 and 350?\nAnswer: 159683650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -322?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d + 1 - 2*d + 0*d + 2*d. Let a be n(-3). Calculate the remainder when 10 is divided by -1 + 0 + a + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 9*a - 5. Let d be c(8). Solve h = d*h - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8678 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 103535502 to the power of 1\/2, to the nearest integer?\nAnswer: 10175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1933 divided by 1045.\nAnswer: -1933\/1045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4432 + 2?\nAnswer: -4430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - -5) + 40\/(-12). Let h = -6 + 7. Which is smaller: q or h?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25408493 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*c + y - 32, -3*y = -2*c - 12. Let b be (c\/(-9))\/((-4)\/(-6)). Solve 5*z - j - j = 11, -b*z = -4*j + 2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 t when two letters picked without replacement from {f: 2, n: 4, v: 1, t: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 320, 211, 24, -247, -608, -1065?\n\"Answer: -y**3 - 33*y**2 - 3*y + 357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus 0.1803692?\nAnswer: -0.5803692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9.1809 - -9.15. Let o = w - -0.0919. Let u = 0.1 + -0.4. Which is the second smallest value? (a) 3 (b) 2\/23 (c) o (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 minus -3018496?\nAnswer: 3018503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in 985, -2\/11, 2\/17, -1\/3, 2, 0?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/3270610 and 1\/57235675.\nAnswer: 114471350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 12:26 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 4. Let u be q(-4). Suppose 2*p = p - u. Let c(o) = -5*o**3 + 6*o**2 + 6*o - 1. Is c(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.13 and -496064.\nAnswer: -64488.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 79.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrirxixxuqqi. What is prob of picking 1 q, 1 i, and 1 x?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((6 - (-161)\/(-21)) + 1)\/((-4)\/559722) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiuiiuuuuuii. Give prob of picking 1 i and 1 u.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 189*p. Let w(y) be the first derivative of -2*y**2 - 525. Give f(w(s)).\nAnswer: -756*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - 42*t**2 + 107*t + 346. Calculate r(-23).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910 is divided by 137.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(17) - sqrt(833)) + 0 - (sqrt(51)\/sqrt(3) + -2 - (sqrt(119) + (sqrt(119)*-2 - sqrt(119)))\/sqrt(7)).\nAnswer: -9*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -z + 3*r + 52, -3*z - 22*r - 22*r - 902 = z + 21*r for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -342*w**2 - 60875*w + 377. What is z(-178)?\nAnswer: 199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 304, 371, 410, 415?\nAnswer: 380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 8*d**2 - d. Is r(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 - (-4 + 7)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 + 3*t + 3. Calculate i(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/42 and -61\/42036.\nAnswer: 294252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = 34*z + 245 - 516. Solve -z*l - 12 = -5*f, 46*f = 51*f for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 times -32595\nAnswer: -6193.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/21)\/((i**(-7\/5)*i)\/i*i))\/(i**4)**(-19))**(-22) assuming i is positive.\nAnswer: i**(-176264\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8.582556kg?\nAnswer: 8582556000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + 0\/1. Let x = 1.1 + -0.1. Let u = x + -3. Which is the closest to u? (a) 1\/7 (b) -1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515690413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 73\/3 - 8\/24. Suppose 0 = -2*d - 2*g + 42, 5*g + a = d + 3*g. Calculate the remainder when d is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6821069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40.4723 and -0.16?\nAnswer: 6.475568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (21\/(-399))\/(196\/(-364952))?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + 581*u + 48090. Give o(-100).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 - -42. Let w(b) be the second derivative of 0 + b**2 - 2\/3*b**3 - j*b. Find the first derivative of w(z) wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -363*t = -1309*t - 52215 - 11167 for t.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a kilogram in grams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from xlzllxsvzxzzxzsx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 465\/124*4\/3. Calculate the greatest common divisor of l and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - x - x - 25 = 0, -3*x = 24 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/7)\/o)\/o**(-5))\/((o*o*o**(-4))\/o**(2\/17)) assuming o is positive.\nAnswer: o**(898\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19898, 20029, 20370, 21023, 22090, 23673, 25874, 28795?\nAnswer: 32538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 7, n: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1368983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3498816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 198 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 13. 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: Put 10, 4, 5, 2 in increasing order.\nAnswer: 2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*h**3*o**3 - 2*h**3 - 8*h**2*o**2 - 4*o**5 wrt o?\nAnswer: -24*h**3 - 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 0.0617, 2, -28, -0.4?\nAnswer: 0.0617","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 + f**2 - 2*f + 1. Suppose -5*x + 7745 = -2*y, -3*y - 924 + 4022 = 2*x. Suppose 5*o = 1539 - x. Calculate m(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-597)\/(-36616))\/(2\/(-8)))\/3?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7419599, -14839205, -22258827, -29678465, -37098119, -44517789, -51937475?\nAnswer: -59357177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -15*w + 0*w**3 + 0*w**2 + 3\/7*w**7 + 0 + 11\/12*w**4 + 0*w**5 + 0*w**6. What is the third derivative of i(r) wrt r?\nAnswer: 1080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/40)\/((-3)\/(-15))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2764 or 2763?\nAnswer: 2764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184164*k**2 - 71409*k**2 - 1926*k**2 - 88015*k**2.\nAnswer: -345514*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4 + 1*(-4 + -1 + sqrt(648) + 0)))**2.\nAnswer: -36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from sssssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*q - 1. Let v be (-1)\/q*1749556\/40. Let z = -21874 - v. Find the common denominator of -37\/2 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 236, 526, 930, 1448, 2080?\nAnswer: 2826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4609 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 2*w = -5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + 8416?\nAnswer: 8416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 222313121 (base 4) to base 7\nAnswer: 1330613","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2409227327.\nAnswer: 13, 109, 130787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 + 72. Let j = 67 - u. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (12 - 9)\/(3\/2). Solve -3*b + 5*t = -7, j*b - 4*t = -7*t + 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -139, 1 in decreasing order.\nAnswer: 4, 3, 1, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 - -0.22?\nAnswer: 29.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1126*j + 929*j + 2747*j)*(3*j - 5*j + j).\nAnswer: -2550*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*t = 38625 - 72450 for t.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66385*j + 22119*j + 22135*j + 22127*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -164532\/5 in 6, 0.3, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -794*t = -743*t - 306 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 3:32 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 8:44 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85.89*-0.051.\nAnswer: 4.38039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-9))\/4*1\/(-4).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23089219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 146, 301, 456?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s - 28*s = -547 + 67. Let q be 2 + -1 + 2 + 0. Calculate the least common multiple of q\/(-4) + 35\/4 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 819*c + 846*c - 37297 = 372*c - 1576*c for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 2 (b) -2.3 (c) -43 (d) -17 (e) -76 (f) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1958586135.\nAnswer: 3, 5, 11, 11870219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 - 5*h + 2. Let d be r(3). Suppose 15 = -5*c, -2*a - d - 13 = 4*c. Let q be 3 + (0 - 6) - a. What is q rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -37*j**2 - 2*j + 1. Suppose 13*k - 12*k - 1 = 0. Let t be y(k). Let b = 34 + t. Put 2, b, -0.2, 0 in decreasing order.\nAnswer: 2, 0, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1581 times -3485\nAnswer: 5509785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 26 = 3*p, 3*v + 5*p - 7 = 18 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/(-6))\/1 + 16\/(-24). Find the third derivative of -46*q**2 - 37*q**4 + 19*q**g + 1 + 1 wrt q.\nAnswer: -888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -41. Suppose 3*m - 2*p + r = 0, 0 = -4*m - 5*p - 17 - 22. Let y(c) = c - 3. Determine y(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**2 + 0*q + 0*q)*(-3 + 1 - 2)*(1 - 1 + q) to o*q**3 + p*q**2 + g + b*q and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 20379219 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6111)\/12)\/7*(-16)\/3. Let f = p - 237. What are the prime factors of f?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*o - 15. Let d be ((o\/(-26))\/1)\/1. Is d greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h + 6 - 6 + (-1 - 1 + 5)*(286 + 6*h - 284 - 35*h) to the form o + u*h and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3303 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**(16\/3))\/n**24*(n\/n**(4\/11))\/(n*n\/(n*n**25)*n*n) assuming n is positive.\nAnswer: n**(-155\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*r = 60*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1256364 and -115\/628182.\nAnswer: 1256364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4356)*-1)\/((sqrt(108) + sqrt(108)*2 - sqrt(108))\/sqrt(9)) + 3.\nAnswer: -11*sqrt(3)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5476800 and -0.1?\nAnswer: 547680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73407842 + 2*a**2 - 73407842.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14.93 * -0.16135\nAnswer: 2.4089555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 > -289714\/4617?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - 79. Let c(f) = -f + 3*f**4 - 2*f**4 - 1 - f**3 + 2*f - f**2. Let a(x) = 10*x**3 - 20*x**2 + 10*x - 5. Let d(s) = v*c(s) + a(s). Factor d(r).\nAnswer: -5*r*(r - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22\/2289 in 1\/2, -2\/21, 1\/7?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**6*s**5\/s*s*s*s*s)\/((s*s*s**0*s)\/s**(-1))*(s**(2\/11)*s)\/((s\/(s*s**(2\/11)))\/s)*s\/(s**(3\/2)\/s*s)*s**(-2\/15)*s assuming s is positive.\nAnswer: s**(4201\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332962.\nAnswer: 2, 7, 17, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and -430849.04081583?\nAnswer: 430849.04081583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 501 = -2*w + 37, w - 284 = -3*h. Let u be (-40096)\/(-182) - 104\/338. What is the highest common factor of u and w?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000221 - 10001101?\nAnswer: -11002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2589, 5179, 7769?\n\"Answer: 2590*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19916 + 14396 = -184*p for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281*u**2 - 542*u**2 - 857*u**2 - 116*u**2.\nAnswer: -1234*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50176 and 17456.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*a + 33167 + 127910 = 43789. What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + 191*r + 3035. Give n(-32).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 30 - 14*w + 13*w + 7 - 10. Give b(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 11. Let p = -0.245 - 103.755. Let j = p + 101. Which is the biggest value? (a) j (b) 9 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4794*l**3 + 2977*l**2 + l wrt l?\nAnswer: -28764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*k - 3485 + 2021 = -70*k - 24*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -22, -89, -200, -355, -554, -797?\n\"Answer: -22*g**2 - g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 c when three letters picked without replacement from {o: 10, c: 10}.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 10 = 0, 18*x = 13*x - 5*l + 30. Let v = 9 + -4. Suppose m - 38 = v*d, 5*d = x*m - 0*d - 167. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 63 + 36)*(-x**2 + 0*x**2 + 3*x**2).\nAnswer: 226*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -2*q + 2. Let u(c) = c**2 + 3*c. Let w be u(-4). Suppose -w*r + 8 = -a, 4*a - 21 + 5 = 4*r. What is the least common multiple of a and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.55 + 0.65. What is the third biggest value in t, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + b + 4 + (0 - 2 + 3)*(-1 + 1 + b) + (6 - 6 + 5*b)*(2818 - 1009 - 16988).\nAnswer: -75893*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143) - -1*(sqrt(143) + 3*sqrt(143) + sqrt(143)))\/(sqrt(275) + sqrt(275) + -3*sqrt(275)))**2 + -2.\nAnswer: 418\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26*2\/(-8) - -4.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/795 and -61\/15.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 12:13 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -994227*p**3 + 6*p**2 - 4494*p - 524 wrt p?\nAnswer: -5965362*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a litre in millilitres?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -6*f**2 - 99*f - 48. Give j(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (4 - 0) + -3. Suppose 3*n - 50 = -2*n + 5*f, 0 = 3*n + f - 50. Solve -n = -p - y - g*y, -5*p - 5*y = -30 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1820*j + 1820*j - 60*j**2 - 3*j**2 + 5*j**2 - 4*j**2 + (j - 2*j - j)*(3*j - 2*j + j) + 3*j**2 - j**2 - 3*j**2 - j**2 - 6*j**2 - 10*j**2.\nAnswer: -84*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 81892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 0. Let s = 412 - 410. What is the greatest common factor of s and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4140533*b**3 + 2*b + 39669168 wrt b?\nAnswer: -12421599*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 6, g: 2}. What is prob of picking 2 o and 1 g?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 302832257 is divided by 5064.\nAnswer: 5057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 5:16 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggrgrgrr. Give prob of sequence rgrr.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2504119, -2504158, -2504281, -2504530, -2504947, -2505574?\n\"Answer: -7*q**3 + 10*q - 2504122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 6:48 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 13*i**6\/6 + 7*i**2 + 22. What is the second derivative of o(z) wrt z?\nAnswer: 260*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2313575.\nAnswer: 5, 11, 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 663 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 7114550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -253 (base 7) to base 16.\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1445)\/1156 + (-2)\/(16\/6). Let w(u) = -3 + u + 4 - 3. Calculate w(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, n: 2, a: 4, x: 3}. What is prob of picking 1 l and 1 n?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 290*f + 3543. Calculate t(-13).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-1 + 3) + -5. Let i(r) = -5*r - 9. Let j(t) = 4*t + 8. Let g(m) = f*j(m) - 5*i(m). Let s be g(0). Is -3\/2 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3813028\/129 + -90127\/3. Suppose -2*m + 1936 = -4*w, -5*w + m - 4*m - 2420 = 0. Let k = w - r. Does k = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-5*(-21)\/30). Let o be 28\/(2 - -2) - 2. What is the smallest value in 0.3, s, o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b + 6. Let n be r(1). Suppose 0 = -5*p - p + n*p. What is the closest to 0 in 2, p, 1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 63*j = 65*j - 1776062. Is j a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 286\/33*((-1)\/(-4))\/(10\/(-30))?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -5\/2, -1.2, -3, 4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.5, -5, -1\/3, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 645514453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3)\/(((-8)\/12)\/(69\/(-18)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-128)\/96*(-60)\/8\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 + 44*t - 2. Let k be f(22). Let q = 219 - 226. Which is the fourth biggest value? (a) q (b) 4 (c) k (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 4)*(-15)\/(-2). Let a = h - -32. Let y(p) = -18*p**a + 14*p**2 - 2*p + 0 + 1. Calculate y(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 4) + 3 + 13 + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2444 divide 234391820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 4*p**2 - p - 3. Let m be d(-3). Does 7 divide (10 + 5)*m\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 20*a**3 + a. Let j be (-8)\/28 - 9\/(-7). What are the prime factors of u(j)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4822*x - 14475. What is u(3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 6. Let w = 178 + -58. Let h be 104\/w - 2\/(-15). What is the nearest to h in b, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.01 or 24?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 7 - (-21)\/7. What is the remainder when (-733)\/(-7) + 6\/21 is divided by 2\/f - (-1600)\/60?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1\/447775?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24 - -7 - 3) + 15 + -17 + 13. Let s(y) = y**3 + 15*y**2 + 2. Let o(c) = -2*c**3 - 31*c**2 - 3. Let m(k) = 6*o(k) + 13*s(k). What is m(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 18 = 3*w, 54*k - 5*w = 59*k - 30. What is the closest to k in 0.5, 0.1, 9, -0.22?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -452, -2, 4, -55669 in descending order.\nAnswer: 4, -2, -452, -55669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3. Let w be (-3 - -2)\/2*q. Let p be (1 + -2 - w)*-2. Let m(t) = t**2 - t - 1. Calculate m(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3290112?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 9*t**2 + 63 - 105.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 6*i + 13. Let j(y) = -2*y - 12 - 3*y - 3 + 3. Calculate 5*g(t) + 6*j(t).\nAnswer: -5*t**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1059585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209915236 to the nearest integer?\nAnswer: 14488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**3\/7 - 1614*w**2\/7 + 152380*w\/7 - 150768\/7 = 0.\nAnswer: 1, 108, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -8*n**2 - 44*n + 1. What is q(-3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q + 133 = j + 3*q, -5*j = -q - 722. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) - sqrt(54)*3)\/((sqrt(6)*-1)\/sqrt(3)).\nAnswer: 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -50*a**5\/3 - 46645*a**4\/3 + 253605*a**3 - 2966765*a**2\/3 + 3420815*a\/3 - 104390 = 0.\nAnswer: -949, 1\/10, 2, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*t*w**3 - 2*t*w**2*x**2 - 4*t*w**2*x + 5*t*w*x**2 - 3*t*w + 2*w*x - 2 wrt w?\nAnswer: -18*t*w - 4*t*x**2 - 8*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3847606 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/12, -7, -32.85?\nAnswer: -32.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -494818.3 and -3.\nAnswer: 1484454.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*t**2\/17 + 430*t\/17 - 1392\/17.\nAnswer: -2*(t - 8)*(16*t - 87)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/15 + -2 - 101\/(581760\/30864)?\nAnswer: -45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2910 and 160499110?\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1143 or -1141?\nAnswer: -1141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*h = -3098 + 4238 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 61b (base 14) to base 7\nAnswer: 3334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433 (base 6) to base 15.\nAnswer: -b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170447, 340887, 511327, 681767, 852207?\nAnswer: 1022647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.71 and -196962118.\nAnswer: -196962118.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 250, 1\/6 in ascending order.\nAnswer: 1\/6, 4, 250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + -1)*(-26)\/(-13)*-2. Suppose -5*s + 2*l = 0, -f*s = -3*s - l. Solve s = 4*b + 7 - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.89 - -1967960642?\nAnswer: 1967960639.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -4*x + 878, 15*p - 434 = -2*x + 16*p. Suppose 19*u - x = 29. Solve 12*n - u*n = -1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -2*m**2 + 3*m**2 - 2*m**2 + 1 + m + m**3. Let x be 0\/(2 + -1 - 2). Calculate b(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -17*w - 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -144 or 0?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.9631 (b) -4 (c) -0.28 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 7) to base 11.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3\/2, -3739.78?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 3)*(-6*h**5 + 5*h**5 + 5*h**5 - 4*h**5 + 3*h**5 - h**5 + (h**4 + 3*h**4 - 3*h**4)*(-4*h + 2*h + 3*h)).\nAnswer: 6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 383 (base 15) to base 6.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 80 + -84. Put k, -0.1, 0.4 in decreasing order.\nAnswer: 0.4, -0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**2 - 14*m - 5. Suppose 0*f = -5*f + n + 29, 3*n + 15 = 3*f. Is h(f) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 2 - -2) + 2. Let k be (-3)\/(-2 + (-68)\/(-40)). Solve -2*l = 5*z + k, 5*l - 2 = -5*z + y for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) -1\/4 (b) 4 (c) -2.8 (d) -6\/5 (e) 5 (f) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-18)\/4 + 4)*264. Let b be (i\/(-55))\/(4\/30). What is the greatest common divisor of 42 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 2*c**2 + c. Let k be q(2). Let m be (6 - (-120)\/(-18)) + 358\/6. What is the derivative of -3 + 58*h**k - 3 - m*h**2 wrt h?\nAnswer: -2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 316.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28\/24 - 4\/8. Which is the nearest to 0? (a) -1\/9 (b) n (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*l**3*z**3 + 2*l**3*z + 13*l**2*z**3 + 3705*l**2*z**2 - 3*l**2*z + 208*z**4 wrt z.\nAnswer: 84*l**3 + 78*l**2 + 4992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/29 and 103\/302232.\nAnswer: 8764728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = 3*q. Let d be (q\/2 + 2)*30. Suppose -6*i + 2*n + 30 = -2*i, -4*n = i + d. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*x**2 + 113750*x - 113750*x + x**2 + x**2 + 0*x**2 + (1 - 2*x**2 - 1)*(-2 + 1 - 1) + 0 + x**2 + 0)*(x - 2*x + 3*x).\nAnswer: 218*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f. Let h be z(-2). Let b be 1*3\/(-6)*h. Let j(k) = 7*k + 1. Give j(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (sqrt(88) + (sqrt(88) - (sqrt(88) + 3*sqrt(88)) - sqrt(88))) - sqrt(88)) + sqrt(88))*-6)\/((sqrt(48) + 1*sqrt(48))\/sqrt(6)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2ac5 + 2c3?\nAnswer: -2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c643b + 4?\nAnswer: 1c6442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 168 + -63. Let y = -50 + s. List the prime factors of y.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**5 - 40*b**4 + 3*b**3 + b**2 + 5*b + 1455 wrt b?\nAnswer: 300*b**2 - 960*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 22. Solve p = -10*u + 5*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-161)\/28 + 5)\/((-36)\/1472). What is the third biggest value in q, -4, 1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 2137*z - 5 - 10007*z.\nAnswer: -7870*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 - 5*r**2 - 5*r + 9. Suppose -3*j = 7 - 25. Let k be a(j). Suppose 4 = -0*t + t. Solve 5*s + t*n = -n + k, -2*s - n = -1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 + 2*u + 9. Let i(p) = -8*p**2 - 7*p - 26. Let a(g) = 6*i(g) + 17*k(g). Suppose a(r) = 0. Calculate r.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414\/84 - (15 - 5 - 5)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(100)*2)\/(2*sqrt(500) + -2*-1*sqrt(5))*-2)**2.\nAnswer: 720\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -7 (b) -5 (c) -6\/277 (d) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2332 and -65\/172361088.\nAnswer: 1895971968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-9)\/2)\/((-2)\/4). Let y(o) = o**2 - 19*o - 51. Let j be y(22). Let c = m + j. Is c a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -8 - 12. Let v(d) be the second derivative of -d**3\/6 - 9*d**2\/2 - 4*d. Let a be v(y). Sort 0, -1, a.\nAnswer: a, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*c**2*k*n + c**2*n**3 + c**2*n - 11055045*c*k*n**3 + 14*c + 408*n**3 + 43 wrt k.\nAnswer: 7*c**2*n - 11055045*c*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -289998*j**2 + 144999*j**2 + 144998*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 14*a + 14. Let o be (2 - 1) + 1 - a - -2. Solve 7*l = o*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 325391, 325786, 326449, 327380, 328579?\n\"Answer: 134*d**2 - 7*d + 325264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -y - 3*l + 630, -824 = 4*y + 4*l. Let k = y - -253. Is 19 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13.287 + -9.713. Which is the nearest to -4? (a) i (b) -5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5))**(-32\/5)*h*h**(-2\/9)*h\/h**(-5\/3))**(-44) assuming h is positive.\nAnswer: h**(-14036\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -2*s - 173, 144*b - 49*b - 66 = 97*b + 4*s for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -712129*b**3*g - 2*b**3 - 2*b**2*g - 15*b**2 + 14*b*g + 21*b + g wrt b?\nAnswer: -4272774*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-2) - 7\/(-14). Is (-5263)\/b + (-9)\/(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-5*(sqrt(243) + 2 + 1)*4)**2.\nAnswer: 345600*sqrt(3) + 1612800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(405) + -1 - sqrt(405)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45530153 (base 8) in base 4?\nAnswer: 211223001223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.067 - -0.019. Let d = w + 0.114. Which is the closest to 2\/7? (a) -4 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4484588*l*w**2 + 116892617*l*w + 19*w**2 - w wrt w?\nAnswer: 8969176*l + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -4*l + 2*x - 12, 25*l + 267 - 275 = 2*x for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -11 + 6 + (1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 - 0. Suppose 2*g + 2 = 4. Let u = 312 + -311. Which is the nearest to u? (a) g (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -55 - 5*z**2 + 0*z - 5\/3*z**3 + 5\/4*z**4. Factor h(p).\nAnswer: 5*p*(p - 2)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130450371?\nAnswer: 3, 19, 2288603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6961325 is divided by 3802.\nAnswer: 3665","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 10:01 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66043430?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Let t(i) = 105*i**2 + 3*i - 5. Let y be t(0). Put b, y, 4, -3 in ascending order.\nAnswer: y, -3, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -183*h - 1132. List the prime factors of v(-10).\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kboczodd. Give prob of picking 1 o and 1 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 14) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 6*i**4 - 334*i**3 - 2296*i**2 - 3704*i - 992 = 0.\nAnswer: -4, -2, -1\/3, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -11 + 3 - (4 + -20).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 205 and 9980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/14*-4*1390\/(-695)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13868 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(133)\/sqrt(7))**2 + 3*sqrt(475) - -5*(5*sqrt(1900) + 5)**2.\nAnswer: 2521*sqrt(19) + 237653","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 42 = -3*g, -4*g - z + 2*z = -36. Suppose 30 = 2*d + 4*p, -p - g + 0 = -3*d. Solve 3*s = s + 3*m + 2, 4*m = -d*s - 18 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(40) + sqrt(200)\/sqrt(5))\/sqrt(10))\/(-3*-2*sqrt(2)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -0.5, -13, 0.5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*j**3 + 23378888 - 46757782 + 23378894.\nAnswer: -55*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((34 - 60) + 24 - (0 + -74)) + (1 - 2)?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b + 22. Let f be j(18). Solve 2*s = -3*k - 18, -s - f*k - 15 = -k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**3 + 396*j**2 + 438*j - 7960 = 0.\nAnswer: -5, 4, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -62\/2564751 and 74\/255.\nAnswer: 218003835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/1079840 and -43\/3176.\nAnswer: 1079840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 39 - 19. Is -4 > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b (base 14) in base 6?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(((-1)\/((-9)\/(-27)))\/3).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1476, 2084, 2690, 3294, 3896?\n\"Answer: -s**2 + 611*s + 866","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2834898 divided by -22?\nAnswer: 128859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*b = 0, -2*b = -6*b + 8. Let w(o) = 3 + 2*o**a + 325*o + o**3 - 634*o + 314*o + o**2. What is w(-3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*h = 3*h + 67067456. Let c = -302684 - 1689032. Let z = c - h. What is z rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13138*p**3 + 8753*p**2 + 1483*p**3 + 4929 - 860*p**3 - 4929 wrt p.\nAnswer: -75090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -60.7181 and 0.7.\nAnswer: -60.0181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 140 = 23. Which is greater: -38 or h?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 - 36. Let f be (v\/(-2 - -4))\/1. Suppose 9 - f*l**2 + 10*l + 29 - 13 + 4*l**2 = 0. Calculate l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 20\/30 + 146354\/168. Let l = 872 - v. Let r = -3\/4 + l. Is 2 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 429 less than 428?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) 5.2 (c) 0.6 (d) -4 (e) 648\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33499 + 33494.7978. Let g = -0.0922 - r. What is g rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/547 in 0.3, -2\/9, 0.9, -8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 15. Suppose -i = x*i - 8900. Suppose 3*h + h - i = 0. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -434*r - 977488 = -960996 for r.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/((-98)\/(-1323))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 4*m - 10094 - 148350, 0 = -2*c - 2*m + 63374. Is c a multiple of 289?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 1314, 2958, 5258, 8214, 11826, 16094?\nAnswer: 21018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -208035?\nAnswer: -1664280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 4*h + h, 2*q - 3 = -3*h. Suppose 0 = -68*b + 73*b + 5. Sort b, q, -4, 16.\nAnswer: -4, q, b, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 81*l + 2663 = 28*d + 33*d - 91*d, d - 5*l = 167 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 - (21 - 14)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let v(d) = 13*d**2 + 78*d. Calculate v(w) - 78*x(w).\nAnswer: 13*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.44 - 64.56. Which is the second smallest value? (a) 3 (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.10885, 119, 3 in increasing order.\nAnswer: 0.10885, 3, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*p**2*x - 5426*p**2 + 5174*p*x wrt x?\nAnswer: 2*p**2 + 5174*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/13 or 10491?\nAnswer: 10491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 8*a**2 + 8*a - 6. Let k be n(-9). Solve -10 = q - k*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 52919*o**2. Let p(h) = -h**2. Give z(p(c)).\nAnswer: 52919*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 14*s - 6*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 + 3*x - 7. What is m(11)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(343) + sqrt(343) + (sqrt(343) + 1 - sqrt(343)))*-5 + -1 + 5 + -1 + (-3*sqrt(343)*2 - sqrt(343)) + 3)**2.\nAnswer: -396512 + 952*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 236*-14383.\nAnswer: -3394388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59 and 32686?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2842.000002858 + 2842. What is n rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q**2)*q)\/q*q*q)\/q**7)**(1\/39) assuming q is positive.\nAnswer: q**(-7\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.051 - -0.059864. What is o rounded to 4 decimal places?\nAnswer: 0.0089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - 9984\/(-264)) + 34\/550\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/25051 and -47\/13.\nAnswer: 25051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from ggwggggwgg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -315 + 382 - (4 - (-1 - -14) - -2).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h**3\/3 - 587810*h**2\/3 + 251908*h\/3 + 335888\/3 = 0. What is h?\nAnswer: -4\/7, 1, 41986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1121*j + 115713 = -1570*j for j.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -1 (b) -69 (c) 0 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:44 AM?\nAnswer: 12:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*u - 37 = 0, -3*n - u + 25 = 4*u. Suppose c = -3*k - n, 4*k - c + 20 = k. Are k and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*p**2 + 252*p + 14201 wrt p?\nAnswer: 18*p + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 z when four letters picked without replacement from {z: 3, g: 1, k: 6, d: 2, w: 1}.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -41, -5 in ascending order.\nAnswer: -41, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11715.03ns to hours.\nAnswer: 0.000000003254175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*h = 16*h - 102 + 42 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15282440 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 840 - 1834. Let i = -540 - s. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 140\/(-210)*2\/8*81\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 345187950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 0*h + 6 = 0. Suppose -h*w - 10 = -c, 2*c + 4 = c - 4*w. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0110772892 to six dps.\nAnswer: 0.011077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13 (b) 3\/2 (c) 4 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 5994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -13*x**2 + 7*x - 25. Let z(t) = 15*t**2 - 9*t + 31. Let v(w) = -5*j(w) - 4*z(w). Let u(y) = 16*y**2 + 3*y + 4. What is -2*u(h) + 7*v(h)?\nAnswer: 3*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide -34 - -1390 - (1 + 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6\/67 or 1?\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70844 and 6764.\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 + 106*x\/5.\nAnswer: 2*x*(x + 53)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 w when three letters picked without replacement from {g: 1, e: 2, l: 3, o: 7, w: 5}?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 - 52*a. Let t(z) = -6*z**2 + 51*z. What is 7*o(i) + 6*t(i)?\nAnswer: -i**2 - 58*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -564.4 and -6.\nAnswer: 3386.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t. Let j(f) = 232854*f - 18. Determine j(p(n)).\nAnswer: -232854*n - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13580869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 844 and 11?\nAnswer: 9284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1 (c) 2 (d) -1.1 (e) -8\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 391*l**4 - 21*l**4 - 30*l**4 + (-5 + 3 + 3)*(2 - 2 - l**4) in the form r*l**3 + g*l**2 + o + y*l**4 + t*l and give y.\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12*2 + (1 - 1). Find the second derivative of -2*b + w*b**3 + b - 22*b**3 wrt b.\nAnswer: 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 29*w**2 - 156*w + 259. What are the prime factors of c(-40)?\nAnswer: 3, 7, 11, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/((-16)\/((-1120)\/(-42))). Solve 4*a - 5*o + 7 = 12, 0 = -v*a + 5*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 868 and 5332?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 563231\/90 or 6259?\nAnswer: 6259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -4, 4, 11, 881, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, x: 4, s: 6, d: 6}. Give prob of picking 1 d, 1 n, and 1 x.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 1492?\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 11*k**2 + 14*k - 1. Suppose d + 5 = 2*v, v + 4*d = -7 - 13. Suppose -3*r - 21 + 3 = v. Is 19 a factor of g(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1876 and 418800116?\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 51457, -4, 2.85?\nAnswer: 51457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + 21 - 58 - (14 + -1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4046)\/(-1734)*(-4)\/(-14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - 0. Let b be 3\/(-6)*(-48)\/(-14). Let j = b - -29\/21. What is the biggest value in r, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 8. Let o be m(-5). Let h be (o - -1) + (-68)\/(-2). Suppose 3*a - 9 = h. What is the lowest common multiple of 20 and a?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-128)\/(-96))\/(20\/(-165))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b**3 + 14*b**2 + 29*b + 45. Suppose -13*p + 165 = 87. Let a(y) = -7*y**3 - 7*y**2 - 14*y - 21. Let f(n) = p*w(n) + 13*a(n). Calculate f(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -18*s**3 - 7*s**2 + 7*s - 1. Let v(n) = 1 - 6*n - 5*n - 5*n + 9*n. Let o be v(1). Is c(o) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -5*q, 2*q = -5*b - q + 4. Put 0, b, 3 in descending order.\nAnswer: 3, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 31 = 5*q, -2*q + 3*q + r - 2 = 0. What is the third derivative of 2*w**2 - 3*w**2 + 2*w**q - 3*w**2 - w**5 wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2036 plus 4?\nAnswer: 2040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + (4*(sqrt(72)*1)**2*2 - ((sqrt(72) - 2*sqrt(72)*-2)**2 + ((2*sqrt(72) - sqrt(72))*3)**2)).\nAnswer: -1866","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 524211.\nAnswer: -4\/524211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 384089?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/(4\/(-1))*2870\/(-1640)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3041*y + 33457. Give j(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 42, 25, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9\/5*r**2 + 1\/5*r**3 + 0*r + 0.\nAnswer: r**2*(r - 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s + 21*s = -16. Let b(m) = 112 + 0*m**2 + 7*m - 120 - m**3 + 5*m**s. Let v = 21 + -15. Determine b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {j: 12, s: 8}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 1429\/(-6) + (-8)\/(-48) - -3. What is x rounded to the nearest 10?\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 483571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.664385328 rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*u**2 - 21548*u + 21560*u + 6*u**2.\nAnswer: 25*u**2 + 12*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**7\/840 - 7*d**6\/360 + d**5\/120 + 7*d**4\/24 - 2*d**3\/3 - 2*d. Let u(n) be the second derivative of p(n). What is u(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805656.4um to meters.\nAnswer: 0.8056564","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 494*g**2*k**2 - g**2*k - 11*g**2 - 6*g*k**2 + 17*g*k + 223*g wrt g.\nAnswer: 988*k**2 - 2*k - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 130754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5 and -4.9303.\nAnswer: -4.4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 + 15*y**2 - 15*y + 16. Let o be i(14). Suppose -3*k = o*k - 3*k. Let 0*w**2 + 2\/5*w**3 + w**5 + 0*w + 7\/5*w**4 + k = 0. What is w?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*j - 2*x, 2*j - 32 = -2*x - 3*x. Calculate the remainder when 2\/(-6) - ((-2740)\/j)\/5 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -375 + 386. Which is the nearest to 2? (a) -3 (b) -1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 4*q + q + 3*q - 2*q + q + (2*q - 5*q + q)*(3 + 1 - 5))*(-1 - 3 + 1).\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/2 + 429*r**4\/2 - 9927*r**3 + 133917*r**2 + 1346961*r\/2 + 1058841\/2 = 0. Calculate r.\nAnswer: -3, -1, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*m - 4*l + 1, -3*l + 24 = 3*m. Suppose -3*b + m*w = -b - 132, -2*b + 2*w = -126. List the prime factors of b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/439 - -1771\/2195. Let 2\/5*w**2 + 2\/5*w - f = 0. Calculate w.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufffffffffuu. What is prob of sequence uf?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 31. Let i be 13\/7 + (1 - 3). Sort -0.3, r, i.\nAnswer: -0.3, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, 4, 6, 8?\n\"Answer: 2*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*f**2*n**3 - 1167*b**3*f - b**2*n**2 - 200*b*f**2*n**3 - 2*b*f**2*n**2 wrt n.\nAnswer: -12*b**3*f**2 - 1200*b*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 9*t + 5 - 8*t**2 + 8*t**2 + 10*t**2 - 8*t. Is d(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -17 (b) -1 (c) -3 (d) 2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 u when three letters picked without replacement from nymuyny?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 440 = 482 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5142, 5134, 5114, 5076, 5014, 4922, 4794, 4624?\nAnswer: 4406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*(5 + 2 + sqrt(128) + 0) - (5 + (sqrt(128) - (sqrt(128)*-2 + -3) - -3*(sqrt(128) + 1))))**2.\nAnswer: -1440*sqrt(2) + 3756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 l when four letters picked without replacement from ylyyglgldg?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 60 and 24372.\nAnswer: 121860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/13 - 506*y\/13 + 504\/13.\nAnswer: 2*(y - 252)*(y - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 + 17*p**2 + p - 15. Let t(x) = 4*x**3 - 68*x**2 - 4*x + 61. Let n(c) = 9*s(c) + 2*t(c). Let b be n(17). Solve j - 10 = -b*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(12 - 13 - -3)*13?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94183189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -196*x**5 + 84*x**4 + 4212*x**3 - 6452*x**2 - 4704*x - 720 = 0.\nAnswer: -5, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 31?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 13) + 5 + -5 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -5 + -20 + -12 + 3.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-148)\/(1776\/(-213))*(-4*1)\/1?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 33*u**2 + 235*u - 244. Let q be h(-21). Solve -2*t + 99 - q = 0 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 696339?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.067 to 1 dp.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(5\/4)\/o**2*(o**(-2\/7)\/o)**(-2\/117))**4 assuming o is positive.\nAnswer: o**(-265\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238595047 is divided by 126.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 86*j**2 + 5860*j + 816 = 0.\nAnswer: -68, -6\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 35 = 6*o - 3*o, -3*o + 20 = -c. Let l be ((-15)\/12)\/((-1)\/(-4)). Sort -1, l, o.\nAnswer: l, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 - 3*u**4 - 2*u**4 + (-2*u**2 + 0*u**2 + u**2)*(-2 - u**2 + 2) + (u + 2*u**3 - u)*(-2*u - 2 + 2) + 16*u**3 + u**4 - 16*u**3.\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8354589?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2\/4 - 137*u\/4.\nAnswer: u*(u - 137)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62109, -62116, -62125, -62136?\nAnswer: -62149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of -16*j**5\/5 - 8*j - 28. What is the first derivative of r(o) wrt o?\nAnswer: -64*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 142506 and 449442?\nAnswer: 5842746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -43. Suppose -9*n = -l - 49. Differentiate -v + 3 + v + n - 5*v with respect to v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*w**4 - 4*w**4 - 3*w**2 - 5*w - 2*w**3 - 9*w**4 - 10*w**4 as j*w**3 + p + v*w**2 + f*w + b*w**4 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 - -6. Let x(g) be the second derivative of 0 - 3*g - g**2 - 1\/2*g**3. Give x(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.096 - 0.29.\nAnswer: -0.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 j when three letters picked without replacement from nnhthtththjtrth.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**16*c*(c**30*c)\/c)\/(c\/c**(-31)*c**10) assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 232 + 32. Let p = 30.9 + 234.37. Let g = a - p. What is g rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -308 - -301. What is the least common multiple of (-7 - v) + (-1 - -23) and 58?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000010011 - -100000?\nAnswer: -101111110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11376 = -55841*r + 55985*r for r.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 2*y**6\/5 + 4*y**5\/5 + y**4\/3 - 21*y**2\/2 - 231*y. What is the third derivative of p(g) wrt g?\nAnswer: 288*g + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-15))\/(6\/30))\/(-2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 74146209 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 95*k - 87*k. Solve 0 = 2*i - 4*t + 6 - k, 3*t - 7 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -1 - (1 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2684746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - 6*x + 11. Let y be q(4). Solve 3*t = 5*r + 9 + 1, -8 = -t - y*r for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 38 + -27. Let l = -398 + 125. Let r = -152 - l. What is the greatest common divisor of k and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -482 = 3*x - 3146. Suppose 38*s = 14*s - x. Which is smaller: -0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 110, 0.09, 3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (7 - 7 - 3) - (0 - -16).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51407, -51735, -52061, -52385, -52707?\nAnswer: -53027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-44730)\/144 + (-3)\/(-8). Is x bigger than -311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*d + 97*d = 1 + 431. Solve u + a = -12 + d, -a = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 103.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12))\/(1*2\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 18 - 8 + 26*b as s + u*b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -41d56 (base 16) in base 3?\nAnswer: -111200220012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-2) + 6)*(-2)\/(-6). Which is greater: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13173, -0.5, -57, -1\/10 in descending order.\nAnswer: 13173, -1\/10, -0.5, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 5*y, -7*j = -3*j + 3*y - 5*y for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 12 = 4*r, x = -6*r + 9*r - 16. Calculate the least common multiple of 2 and 1\/8 - (-210)\/112 - x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 58*i**2 - 16*i - 47. Let s be y(-5). Which is smaller: s or 1482?\nAnswer: 1482","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = 22*n - 21*n + 13 + 7, 0 = -2*w - n - 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16163 * -212.\nAnswer: 34.26556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**3 + 3*t**2 + 7047848229786 - 3*t**2 - 7047848229786.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m*(m\/(m*m**5))\/m)\/m*m)*m*m*m**(-7))**(2\/57))**28)**(14\/11) assuming m is positive.\nAnswer: m**(784\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 4*p - 52, 0*p - 2*p - 5*v = -2. Calculate the least common multiple of p and 75.\nAnswer: 825","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 1)*(-1 + 1 - 2)*(4 - 3*z - 4)*(-3*z + 4*z - 2*z).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*o**6 + o**6 - 20*o**3 - 150*o**2 + 18*o**3 wrt o?\nAnswer: 2280*o**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 8*u + 10. Let y be l(5). Suppose -j = -3*s - 290, y*j + 3*s = -4*j + 1175. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053672550 a multiple of 4025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7259 + 159627\/22. Calculate the common denominator of w and -29\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.29 - -52.29. Sort 1, -0.1, k, 2\/13, -5.\nAnswer: -5, -0.1, 2\/13, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -10*h**2 + 12. Let v(y) = 4*y**2. What is v(t(s))?\nAnswer: 400*s**4 - 960*s**2 + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o - 117 = x, -83*o + 80*o + 9 = -x - 2*x for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 20*n. Let x(u) = 3*u. Let j(o) = -2*a(o) + 14*x(o). Let d(b) = -11*b + 3. Calculate -2*d(t) - 10*j(t).\nAnswer: 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/7 + 26*w\/7.\nAnswer: 2*w*(w + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65800 and 7700.\nAnswer: 723800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -510 times -70.1\nAnswer: 35751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4\/9)*k)\/(k**(2\/11)\/k*k)*((k\/(k**(-2\/9)*k))\/k)\/k**(2\/11) assuming k is positive.\nAnswer: k**(41\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2*sqrt(136) + sqrt(136) - sqrt(136)))\/(sqrt(288)*6) + -5 + ((sqrt(102)*-1*-4 - sqrt(102))\/((sqrt(54) + sqrt(6))*3 + sqrt(6)))**2.\nAnswer: -692\/169 + 5*sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*a**2\/2 + 225*a + 9145\/2 = 0. Calculate a.\nAnswer: -59, -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of -y**5\/20 + 163*y**4\/8 - 81*y**3 + 305*y**2. Solve j(b) = 0 for b.\nAnswer: 1, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -376*w**2 + 196*w**2 - 2221 + 181*w**2 as g + u*w**2 + x*w and give g.\nAnswer: -2221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160698 - 25403 = 54*f - 1303*f for f.\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1343002 (base 5) in base 13?\nAnswer: c8c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/15))\/g*g)\/(g\/(g*g**37)))\/(g*g*g**(4\/7)*g*(((g*g**(-5\/6))\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(7853\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.4 - 9. Sort i, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 100 = -6*n, 5*n + 8 + 150 = -22*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(567)*-1*4 + -3)**2.\nAnswer: -144*sqrt(7) + 9076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1110 + -1075. What is the remainder when 310 is divided by y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 - -31. Let l(r) = r**2 - r - 1. Let w(f) = 2*f**2 - 1. Let y(b) = 3*l(b) - w(b). What is y(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + (-4 - (2 - 4)) - 4. Suppose -6 = -2*q, -1 - 2 = 3*k - 3*q. Sort -4, b, k.\nAnswer: b, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/9 + 7975*h**2\/9 + h\/9 - 7975\/9.\nAnswer: -(h - 7975)*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -4050604.326 to the nearest one hundred thousand.\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -539218.13 rounded to the nearest one thousand?\nAnswer: -539000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*u = -67*u + 105 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 45 - 448*z + 2652*z.\nAnswer: 2204*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5441188822 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 8*a**4 - 47*a**3 + 609*a**2. Let x(h) = -6*h**4 + 31*h**3 - 406*h**2. Let v(p) = 5*r(p) + 7*x(p). What is the third derivative of v(w) wrt w?\nAnswer: -48*w - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 7:27 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/4 - (-15)\/(-6). Suppose u + u = 2, 18 = 4*x - 2*u. Suppose b = -x*r + 91 - 36. Are r and 11 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 624 - 31*t**2 + 24 - 39*t**2 + 455 + 128*t**2 - 60*t**2.\nAnswer: -2*t**2 + 1103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -32213?\nAnswer: 32203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.8 + -1.2. Let r = 15 + k. Let q = r - 8.5. Round q to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -4. Let r = 361\/5 + -72. Put -0.1, h, r in decreasing order.\nAnswer: h, r, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -359, -287, -129, 115, 445?\n\"Answer: 43*s**2 - 57*s - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1933 and 28534946.\nAnswer: 1933","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4479*g + 4480*g - 8958*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 5*n**7\/42 + n**6\/3 - 51*n**5\/4 + 140*n**4\/3 + 50*n**3\/3 - 360*n**2 - 90*n - 1. Let d(w) = 0. What is w?\nAnswer: -9, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 161*y**2 - 2*y + 2. Let t be v(1). Suppose 0 = 3*l + 14 - t. Suppose q + 7 = -2*o + l, q = -o + 20. Is o a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 - 2. Suppose -6 = -b + 4*b. Let z be (-8)\/b*(-2)\/6. What is the nearest to -0.2 in -0.4, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 - 50. Which is the third smallest value? (a) r (b) -3 (c) -2\/13 (d) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12647, -12950, -13757, -15320, -17891?\nAnswer: -21722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i**2 + 4*i - 3. Calculate g(2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 43*i + 428. Determine y(-2).\nAnswer: 342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -2*u + 3*d, -3*d + 1327 = 1306 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b88 - -1666?\nAnswer: 7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4492196 is divided by 154903.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 424 (b) -0.077 (c) -9\/67\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, n: 5, a: 2}. Give prob of sequence anka.\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2141 + 256843\/120. Find the common denominator of g and 61\/3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1)*(-4 + 3 + 2)*(-4*m + 6*m - 3*m).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 0, -1\/1129, -121?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 83398, 166797, 250196, 333595, 416994?\n\"Answer: 83399*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9827107 and 163.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -10.719, -25 in ascending order.\nAnswer: -25, -10.719, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71\/45 + 7\/9. Which is the second biggest value? (a) 0 (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 52, 0, 4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 136 (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1631 - -1633. Solve 2*c = 3*t + 16, -a*t + 4*c - 3 = 13 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104814?\nAnswer: 2, 3, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4*z = p - 1460, -5*p = 5*z + 2460. Let w = z + 713. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 822 - 752 = 2*f. Is 6 <= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, 0.00894, 5, 0.2?\nAnswer: 0.00894","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2*(sqrt(2299)*3 - sqrt(2299))*2)*-1)**2.\nAnswer: -704*sqrt(19) + 147152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5100)\/360 - (-1)\/6?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -4\/9 (c) 72 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2592) - sqrt(2592))*3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/84)\/((-2)\/21)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 19*q**2 - 20*q + 24. Let x be y(20). Suppose 0 = 4*o - 20 + x. Which is the nearest to -2\/7? (a) -8\/3 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - 5*w + 11. Let h(s) = -8*s**2 - 12*s + 28. Let p(n) = -12*d(n) + 5*h(n). Find the first derivative of p(q) wrt q.\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z - 57 = -17. Let o(c) = 130*c + 33. Is o(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9530\/3 + 3174. Which is the nearest to -0.1? (a) 0.5 (b) u (c) -0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4)\/k**2)**(7\/11) assuming k is positive.\nAnswer: k**(-63\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53097 = 6*d + 318903. Round d to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight ninths of a hour?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8375573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 6*l**2 + 7*l + 1. Let i = -3 - 2. Determine a(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 - 4 - 4)*(x + 2*x - 5*x).\nAnswer: 120*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cmppmccpmccmm. Give prob of sequence mmpm.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -59, 1120, 0, 1, -5 in ascending order.\nAnswer: -59, -5, 0, 1, 1120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-7))\/j)\/((j**(-3)*j)\/j))\/(j**(-4)\/j*j\/j**(6\/5)) assuming j is positive.\nAnswer: j**(76\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 6, -0.25, 1, 2, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -55, 5\/6, 887, -1, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -390, 0 in ascending order.\nAnswer: -390, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19 - -34. Let t be -2*(1 - 5\/(-2)). Let q = t - -12. Solve q*k + i = -0*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 5*r + 2, 3*b + 4 - 3 = -4*r. Suppose -4*o + 25 = z + 1, -r*o + 82 = 4*z. Suppose -4*f = -2*f - z. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (16 + -50 + 29)) + -42\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, g: 4, m: 1, q: 6}. Give prob of picking 2 m, 1 u, and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - l - l**3 + 2*l**3 - 3*l**2 + 2 + 2*l. What is f(3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1)*z**(-1\/6))\/((z**(-2)\/z)\/(z*z**(-1\/2))))**(1\/51))**(9\/7) assuming z is positive.\nAnswer: z**(1\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.48, -19, -2\/9, -12\/43 in descending order.\nAnswer: 0.48, -2\/9, -12\/43, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 13287856 divided by 2\nAnswer: 6643928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 7. Let n be h(0). Let j(b) be the second derivative of b**5\/20 - 2*b**4\/3 + 7*b**3\/6 + b**2 + 2*b. Let t be j(n). Solve 14 = 4*a + t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/120)\/(-1 + 4\/6). Let h = 1 + -5. Let q be 3 + ((-216)\/81)\/((-2)\/(-6)). Which is the nearest to 1? (a) q (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -10*l - 3 + 0 + 7*l. Let s be f(-2). Let a = 42 + -9. What is the highest common divisor of s and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 - 67. Is w a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -37117, -74221, -111323, -148423, -185521, -222617?\n\"Answer: y**2 - 37107*y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 37*k - 1650. Let m be y(45). Solve 2*v = -2*i, -v - m = -4*i - 0*i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19203334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-3)\/(-3))*5865\/(-46)*12\/(-45).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/3051895 and 16\/16480233.\nAnswer: 82401165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1220 - -1214.89. Let r = 5.61 + j. Which is the closest to 0.2? (a) -0.3 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*347\/(-196) + 3. Let v = -2\/49 - p. Factor 0 + v*f**2 + f.\nAnswer: f*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.146575 to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -1\/2, -2, 176 in descending order.\nAnswer: 176, 1, -1\/2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1.04, 4, -14, 1, 2\/13?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/4 + 5*n**3 + 27*n**2\/2 - 31*n - 41. Let c(i) be the first derivative of b(i). Factor c(l).\nAnswer: 3*(l + 1)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135773486?\nAnswer: 2, 67886743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -202\/15685 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001528 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -656, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339776*o - 213223*o - 126539*o.\nAnswer: 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -118, -0.65 in decreasing order.\nAnswer: 4, -0.65, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 257a + 0?\nAnswer: 257a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76379026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(70)\/sqrt(2)*3*-2)\/(sqrt(7) - (-2*sqrt(63) - sqrt(7) - sqrt(7)) - (sqrt(28)\/sqrt(4)*-1 + sqrt(7))).\nAnswer: -4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-411)\/(-2877) + 1172\/(-21) + (-16)\/12.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -3*n - n. Suppose 0 = -5*t + 4*p + 15, 2*t - n = -2*p - 7. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -763712 (base 14) to base 6\nAnswer: -221501044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.6 from -0.033920774.\nAnswer: -1.633920774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (110\/28 + -4)*-7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*a)*(a - 3*a + 4*a) - a**2 + 0*a**2 + 0*a**2 + (a - 5*a + 0*a)*(-a + a + 2*a) + 0*a**2 + 3*a**2 - 5*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3 less than 63143?\nAnswer: 63151.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5\/107 - 11389\/1284. Suppose 0 = 2*p - 5 + 1. Calculate the common denominator of 261\/24 + (1 - p) and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:32 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 8*o**2 - 9*o - 3. Let t be w(-7). Suppose 0 = -2*m - y + 16, 3*m + t = 4*y + 46. Calculate the remainder when 33 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4250734465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14 + 31?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 24 = 6*d, 11*r + 5*d - 18 = 9*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37468\/(-1479))\/(4\/(-3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -3*i + 15, 0*i - 2*m = -4*i + 10. Let n be (-1015)\/(-1848) + 2*i\/(-6). Let a = 10\/11 + n. Find the common denominator of a and -133\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**4 - 960*t**3 - 61312*t**2 - 445440*t - 861184.\nAnswer: -4*(t + 4)**2*(t + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - -6) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/13)\/x**(-2))\/(x*x**(1\/2)*x**(-3\/8)))**(2\/53) assuming x is positive.\nAnswer: x**(75\/2756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 1306209\/11 (c) -1\/5 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 25*r**2 - 3*r + 9. Let q be c(3). Let a be q\/(-693) - (-1)\/7. Let h = 1\/55 - a. Which is greater: -0.07 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -610 divided by -2\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 514, 3, 446, 1 in ascending order.\nAnswer: -3, 1, 3, 446, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-4))\/(5\/360*-3). Calculate the common denominator of ((-70)\/h)\/((-2)\/(7 - 1)) and -74\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 328461 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 6*c**2 - 6*c + 10. Let d be q(-7). Suppose -d*x = 2*x - 30. Solve 4 = -k + x for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -276*v**2 - 1101*v + 26912. Let i(x) = -92*x**2 - 388*x + 8971. Let q(u) = -17*i(u) + 6*y(u). Find the first derivative of q(c) wrt c.\nAnswer: -184*c - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aw when two letters picked without replacement from {w: 1, c: 2, e: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + a**2 + 3*a + 3. Let k be t(3). Suppose o = -0*o - z + k, -5*z = -3*o + 128. Let w = -31 + o. Calculate the highest common divisor of w and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 569*s**2 + 487*s - 226*s - 87*s**2 - 243*s to the form a*s**2 + l + f*s and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(539)*-4 + sqrt(539) + -6*(-1*sqrt(539) + sqrt(539)) + 4)**2 - 5*(sqrt(539) + 1 + -2 + 1)**2.\nAnswer: -392*sqrt(11) + 23732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75 - 33. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -9*d + 9. Let b(y) = -13*y + 14. Determine -5*b(o) + 8*h(o).\nAnswer: -7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1612 - -1636. Solve -24 = 32*d - r*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13*g = 0. Is (g + -1)\/(2\/382*-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 4*t**2 - 5*t + 9. Give j(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 67860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + (sqrt(343) - (sqrt(343) - (2*sqrt(343) - sqrt(343))))**2 - (sqrt(343) + 1*sqrt(343)*1)).\nAnswer: -70*sqrt(7) + 1725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1572 - 1561. Let v(s) be the second derivative of 0*s**3 - 11\/12*s**4 - s + 0*s**2 + 0 + 7\/10*s**5. Let b(o) = 5*o**3 - 4*o**2. What is y*b(u) - 4*v(u)?\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56c + -3?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u - 283*u = -319 - 2629 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a millisecond in microseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from {x: 1, g: 3, a: 8, j: 6}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*f - 12, 0*h - 7 = 4*h + f. Let u(l) = -5*l + 4. What are the prime factors of u(h)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.2, 1088 in descending order.\nAnswer: 1088, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 18574*b**3 + 8 - 18585*b**3 - 3.\nAnswer: -11*b**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - 1 - -2)\/(2\/(-5)). Let k(x) = -x**3 - 5*x**2 - 2*x. Let y be k(o). What is the greatest common divisor of y and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11033 (base 4) in base 14?\nAnswer: 19d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(1*(sqrt(130) + (sqrt(130) - (-2*sqrt(130) - sqrt(130)))) + sqrt(130)))\/(sqrt(110)\/(sqrt(33)\/sqrt(3)*3)).\nAnswer: 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) 4.3 (c) -1.5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -32 - (13 + 15 + (8 - 39))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.4 - -3. Suppose -6279 + 6236 = -43*l. What is the closest to j in -2\/11, -5, l?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/2)*r)**(1\/7)*(r*r**(-1))**(-2))\/((r\/r**(-1\/4)*r)**15*((r\/r**(-2\/13))\/r*r)\/r**(-5)) assuming r is positive.\nAnswer: r**(-14499\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 24. Suppose 0 = -m + 3*v - 8*v - 9, 7 = 3*m - 2*v. Let y(c) = -c**2 - 1. Let s(p) = -4*p**2 - 5. Let i(d) = m*s(d) - 5*y(d). Determine i(a(n)).\nAnswer: 4*n**2 + 96*n + 576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 + 3)\/((-2)\/(-6)). What is the common denominator of 6 - l - (-195)\/(-27) and -5\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -395*g**2 + 1197*g**2 - 418*g**2 - 384*g**2 - g + g - 5*g**3.\nAnswer: -5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 > 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 29.1928?\nAnswer: -30.1928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.23 - 1.23. Let o = 3.051 + -0.051. Let x be 1 + 3*2\/(-4). Which is the closest to r? (a) x (b) o (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*l - 20 = 268*l - 4*m, 2*m = 23*l + 73 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*c - c + 2*c)*(0 - 2*c + 0 - 5*c + 3*c + 0*c + (3 - 3 - 1)*(3*c + 3*c - 4*c) + c + 3*c + 6*c) + 2 - 536*c + 4*c**2 + 536*c)*(2 + 1 - 2).\nAnswer: 16*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -183.17 - -184. Let t = 2.17 + k. Which is the second smallest value? (a) t (b) -3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1\/((-28)\/72)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1339971509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - 10*g + 3. Let x be y(6). Let r be (x\/(-14))\/((-2)\/4). Let k be ((-1)\/r)\/(1\/6). Solve -3*z = k - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 5*m + 13. Let r(j) = -3*j - 7. What is -3*k(t) - 7*r(t)?\nAnswer: 6*t + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -0*z + 28. Let v(i) = -2*i**2 - 12*i - 3. Let r be v(-5). Let k(w) = 7*w**2 - 13*w. Let g be k(r). What is the highest common factor of g and z?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43350 smaller than -43262?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*p + 18 + 75*p - 16 - 2.\nAnswer: 154*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -42484033*l. Let t(v) = 9*v. Give g(t(u)).\nAnswer: -382356297*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 + 22*i - 18. Calculate v(18).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*l = 18, 0 = -2*a + 3*l - 7 - 8. Let z(o) = -o - 2. Let t be z(a). Let h be 2*t\/(-1) - -2. Is 0 greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 8*j**2\/3 + 20885318*j\/3 - 5221330\/3 = 0.\nAnswer: -2610665, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -152 + 152 - 20*n + 2*n - 4*n - 2*n + (-1 - 8 + 2)*(0*n + 4*n - 2*n).\nAnswer: -38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 2*o - 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.69828l in millilitres?\nAnswer: 82698.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from pbbbpbtbbbbbbttbitb.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*f + 28 = 0, 16 = 5*v - f - 40. Suppose -39 = -5*x + 16. What is the greatest common factor of v and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * 3545.\nAnswer: -49630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in 669, -0.2, -1, 3, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = 4*r - 20, -3*r = 62*w - 66*w - 15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*r - 2 + 852 = -130*r for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278, 1, 13, 5, -13 in ascending order.\nAnswer: -278, -13, 1, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1210\/363)\/(64\/(-36))?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.178555576*4.\nAnswer: 0.714222304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -16 - 9*k + 7*k - 64 + 19 + 10*k. List the prime factors of x(16).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 12, 0.2.\nAnswer: -1, 0.2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + r)*(2 + 4 - 3 + (0 + 4 - 2)*(2 - 1 + 1)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 509?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d - 47. Let a(z) be the third derivative of -z**4\/24 + 13525*z**2. Calculate a(p(o)).\nAnswer: 3*o + 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 58 = -5*p, 5*y + 9 = p - 8. Suppose 2*u - u - p = 0. Let w(g) = g + 1. Let s be w(3). Solve 3*o = q - s*q + u, o = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 smaller than -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*l**3\/3 - 563*l**2\/3 + 541*l\/3 - 40\/3 = 0 for l.\nAnswer: 5\/62, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22525900 rounded to the nearest one million?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 341, 5, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, j: 3}. Give prob of picking 3 j.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 957829326?\nAnswer: 2, 3, 601, 265621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -12259 divided by -203\nAnswer: 12259\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r**2 + 4*r - 5. Let y(a) = a**3 + 2*a**2 + 3*a + 2. Let q be y(-2). Calculate the lowest common multiple of 4 and m(q).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/16 (b) -1 (c) 42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d + 80 + 29*d - 10*d.\nAnswer: -d + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 753494 is divided by 153.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 6*i**2 + 47 + 2*i**2.\nAnswer: 7*i**2 + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9561052 rounded to one decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/9)\/(v*v**(-14\/3))*(v\/(v*v**(1\/23)))**(-28))**16 assuming v is positive.\nAnswer: v**(15440\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -11191 minus 1?\nAnswer: -11192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + (-162)\/(-12))\/(18\/60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 - 53 = -21*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 269344727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 88, 1935.9, 5, 0.2, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*h - 14 = 0, 3*i = -0*h + 4*h - 38. Let c(s) = -38*s + 14. What is the tens digit of c(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38842.468 days in weeks?\nAnswer: 5548.924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2552 = -12*s. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 756431710 to the power of 1\/2, to the nearest integer?\nAnswer: 27503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 17. Give m(32).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from urrrrkukr. Give prob of picking 1 u and 2 r.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4261*b + 4310*b - 8624*b.\nAnswer: -53*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-2)*9\/((-891)\/(-6270))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 15. Let m be p(0). Let x(v) = -v**2 + 16*v - 12. Let z be x(m). Is z - (-1 + 4 + -191) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*1 + (25 - 9). Suppose -y*d + 21*d = 0. Suppose 1 = 3*j - 14. Solve d*f = -f - j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vab when three letters picked without replacement from {p: 2, b: 10, v: 4, a: 4}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 31 = 4*d. What is the least common multiple of d and 2\/((-2)\/(-9)) + 2?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**3 - 7089*d**2 + 7046*d + 94496. Calculate p(2362).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*k - 9 = 0, 3*j + 3 = -k - 14. Let u be (-15)\/63 + (-3)\/9. Which is the biggest value? (a) u (b) j (c) -1.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/260 + (-109)\/1090. What is the second smallest value in c, 10, 2.1?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**4*f\/(f**(-24)*f))\/((f*f*f*f*f\/f**(-2\/43))\/f**(-21)))**(-36) assuming f is positive.\nAnswer: f**(-4572\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 + 642*m - 26543. What is v(33)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:46 AM?\nAnswer: 1:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 13) + 17 + -11 + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1201+39\nAnswer: -1162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -42*q**2 + 2. Let n be h(-1). Let k = n + 79. Does 24 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -32, -43?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -587 and 3?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.654 + 0.046. What is a rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2. Let o(w) = 56*w. Give o(z(p)).\nAnswer: -56*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 7316 = 18*b + 6852 for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-840)\/(-24) + ((-24)\/10)\/((-44)\/55).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1 + 2*sqrt(7) - sqrt(7)) + sqrt(7) - sqrt(7)) + (((sqrt(567) + -1*sqrt(567) - sqrt(7)) + sqrt(7) - sqrt(7))**2 - sqrt(7)))*2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361658, -723174, -1084426, -1445282, -1805610, -2165278, -2524154?\nAnswer: -2882106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -10 + 2. Let k(l) = -l - 5. Let i be k(h). Let c = i - -4. Solve 5*v + 5 = -5*x, 12 = -c*x + v - 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from imzzizzcziii. What is prob of picking 2 i and 1 z?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 + 148 = 4*d - 2*f, -d + 3*f = -57. Suppose -11*w - 5*w = -d. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/21*6\/2. Let r = -9.4 + 8.4. Which is the closest to 0? (a) d (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -143*k + 138*k. Suppose -k*f - d + 4 = -10*f, -2*f + 12 = 4*d. Solve -3*b - 21 = f*j, -b - 14 = 2*j - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2 + 27 + 61*c**2 - 128*c**2 + 66*c**2 + 6*c. Let l be a(9). Solve 9 = l*g + 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 67?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -685 + 687. Sort i, -1, 165 in increasing order.\nAnswer: -1, i, 165","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -33. Let d = 2.7 - v. What is the closest to -1\/3 in d, 2\/3, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*n = 46, 3*g = 3*n + 3 + 9. Let u(k) = k**3 - 189*k**2 + 189*k - 2. Let m be u(1). Let b = g + m. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 18*b - 13. What are the prime factors of n(5)?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 84378\/24 - 2\/(-8). Let p = -7767 - c. Let f = -112707\/10 - p. Calculate the common denominator of f and -137\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 269*l**4*m**3 - 80*l**4*m**2 + l*m**2 - 7*l - 12*m**3 - 2 wrt l?\nAnswer: 3228*l**2*m**3 - 960*l**2*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 718089751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 236, 816, 1640, 2828, 4500?\n\"Answer: 20*v**3 + 2*v**2 + 434*v - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/672 and 13\/21?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -322 and -1.415618.\nAnswer: 455.828996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 divided by 70?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1418.\nAnswer: 2, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/7 + 76*l\/7 - 722\/7.\nAnswer: -2*(l - 19)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdgfyiyyif. What is prob of picking 1 g and 2 y?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 5 = -s. Suppose -3*c + 2*c = 2, s*o - 4*c - 28 = 0. Differentiate 1 + o*h**2 + 2 + 1 - 2 wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**5\/10 + a**4\/12 - a**3\/6 - a**2 + 10*a. Let r be c(-1). Put r, -14, -3 in descending order.\nAnswer: r, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 608107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 55*z**2 - 117*z + 178. Determine q(57).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4933505.\nAnswer: 5, 53, 18617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62\/5*30\/12. Let f = 29 + r. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 <= 126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.3, 41?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 18*u. Let z(o) = o**2 + 8*o**2 - 2*o**2 - 9*o**2. Calculate z(p(y)).\nAnswer: -2*y**4 + 72*y**3 - 648*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 - 6139 + 37*l**2 + 6139.\nAnswer: 43*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/5 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/55 - 105\/(-50). Sort -1, 3, 0.1, s.\nAnswer: -1, 0.1, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3*1\/8*-6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -0.4495.\nAnswer: 3.5505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 264567?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67954910 to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260692?\nAnswer: 2, 65173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 36906194112 + -416\nAnswer: 36906193696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 4:37 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*k + 344 = 50*k + 11*g, -k - 3*g = -90 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g*g\/(g\/(g**(1\/8)*g))))\/g*g*(g*((g*g**(-5)\/g)\/g)\/g)\/g)**(-2\/9) assuming g is positive.\nAnswer: g**(19\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-seven halves of a microgram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*q + 5*a - 40 = -145*q, 0 = 4*q - a - 52. Solve i + 0*i + 5*f = -12, i = 3*f + q for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2) - sqrt(8)) + 1*sqrt(2) + 2 - (1*(sqrt(2) + sqrt(288)))**2.\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 569, 4, 1 in descending order.\nAnswer: 569, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8497493 to the nearest integer?\nAnswer: 2915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, 128, -5, -9, -0.1326?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185 - 135 = 40*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11153 - -100415\/9. Is t less than -1\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in five eighths of a tonne?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 15. Let c be i(-17). Differentiate -4*v**2 + 5*v**c + 5*v**2 + 3 + 7 with respect to v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*(-20)\/15)\/((-1)\/(-6)). Factor 2*l**3 - 37*l**3 + x*l**4 - 3778*l**5 + 4*l**4 + 4*l**2 + 36*l - 16*l**2 + 3777*l**5.\nAnswer: -l*(l - 6)**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/630*7*4)\/(8\/(-10))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from fxhhxgvxfxhvhxfh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2. Let u(j) = -j**3 + 6*j + 2. Let a(b) = 4*p(b) - u(b). Let z(q) = q**3 - 9*q**2 + 2*q - 13. Let m be z(9). What is a(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**9)**(1\/4)*(g\/g**(-1\/17))\/((g\/((g*(g*(g\/(g*g**(-2\/117)))\/g)\/g)\/g))\/g) assuming g is positive.\nAnswer: g**(-13319\/7956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220 is divided by 207.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 159\/60017?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7763a7 - -11?\nAnswer: -776396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(444\/90 + -6). Which is greater: t or -7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 43971 = -111699. Is 16 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -4*m - 91. Let z(j) = 162*j**2 - 94*j**2 - 77*j**2. What is z(p(y))?\nAnswer: -144*y**2 - 6552*y - 74529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(2\/83)*g*g)\/(g\/(g\/g**(2\/3))))\/((g\/(g*g\/g**(-18)*g))\/g)**42)**41 assuming g is positive.\nAnswer: g**(9027913\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a factor of 488644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 4 (b) 4\/3 (c) -0.181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1998*m**5 - 221*m**5 + 5 - 305693*m + 305781*m wrt m?\nAnswer: 35540*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.068 and 0.05?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -83237?\nAnswer: 5\/83237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -475, -1356, -2547, -4048?\nAnswer: -5859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -t + 12, 7*t - 4*t = -4*v + 26. Solve -g - 15 = -v*r - 7, 5*g - 10 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (16 - (6 + -4))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -9, -0.3, 4?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1589571 is divided by 2025.\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -0*z - 5*z + 635, 4*z = 3*w + 507. Let x(d) = -4*d. Let f be x(-1). Suppose -u = -f*u + z. List the prime factors of u.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bec when three letters picked without replacement from {c: 3, l: 4, w: 1, y: 4, b: 4, e: 1}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - 0. Let d = 14 + r. Let h = 5 + -2. Calculate the remainder when h is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 188*i**2. Let f(k) = 5850605*k. Determine j(f(u)).\nAnswer: 6435160826812700*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/4746209597 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 299*h + 955. Let f be w(-3). Solve -f*c - 314 = -836 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -511 + 34 = 53*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1089926397?\nAnswer: 3, 7, 53, 449, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 5679168096*g - 5679168094*g - 22.\nAnswer: 2*g - 30","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1779 and 60.\nAnswer: 35580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 15, -844\/3715 in descending order.\nAnswer: 15, 1\/3, -844\/3715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r + 4 - 4)*(2 + 1 - 2)*(-6 + 3 - 1).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -226 * -0.003.\nAnswer: 0.678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/3? (a) -2 (b) -0.1 (c) -4173 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*j = 3367, -24*z + 3*j + 2001 = -21*z. Is 670 greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2074572776 to the nearest integer?\nAnswer: 45547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 - 566*y\/3 - 101360\/9.\nAnswer: 2*(y - 905)*(y + 56)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 6. Let g = k - 5. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((b**3 + 2*b**3 - 5*b**3)*(2*b + 0*b - b) + 6 - 6 - 7*b**4)*(9*b - 11*b + 13*b).\nAnswer: -99*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1041334 (base 5) to base 7\nAnswer: 104324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 2:33 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10529*-0.5.\nAnswer: 5264.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k + k + 0*k)*(-k - 2*k + k)*(-k + 0*k - 2*k)*(2 + 3 - 3)*(31 + 24 - 41) in the form y*k + s*k**3 + o + m*k**2 and give s.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 177972 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ama when three letters picked without replacement from amasoaaomqamsaaaaqq?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 272167 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1413 (base 6) in base 11?\nAnswer: -306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7084 + 8560. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1125, -5\/6, 4.1, 2\/17?\nAnswer: -1125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 705698569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133.5 - 210.2. Let m = 76 + d. What is the closest to 0.1 in m, 1\/2, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -172*c + 386*c - 213*c + 1. Let z(t) = 2*t. Give 3*x(v) - z(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 >= 710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3492675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -f**6\/40 + 5*f**3\/2 + 3*f**2\/2 + 7*f. Let k(b) be the first derivative of v(b). What is the first derivative of k(u) wrt u?\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 minus 7262032428?\nAnswer: -7262032430.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -13*w - 6 + 4*w**3 - 5*w**2 - 3*w**3 + 2. Suppose 2*k = -15*g - 16, -10*g - 25 = -3*k - 8*g. Calculate l(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a + 22 = a + 5*m, 2*a = 5*m - 16. What is the third derivative of -5*v**2 + a*v**4 + 0*v**4 + 0*v**4 wrt v?\nAnswer: 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 4, -0.4, -0.66, 0.012 in decreasing order.\nAnswer: 4, 0.5, 0.012, -0.4, -0.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 857755 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8\/48 - 8968\/(-48) is divided by 39.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/8 + 92569*l\/8 - 7171710.\nAnswer: -(l - 91945)*(l - 624)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**4 - 32*j**3 + 244*j**2 - 208*j.\nAnswer: -4*j*(j - 4)*(j - 1)*(j + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 + 141 = 30*s - 295 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = -14*r + 33*r for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*g**3 + 202*g**2 + 490*g - 186.\nAnswer: 2*(g + 3)*(g + 31)*(3*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (34\/119)\/(3\/42)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 89638681771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 11. Give x(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 792005634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 5*m - 61 = 0. Let c = m - 58. Solve 4*v - 5*d = -22 - 19, -c*v = 5*d - 13 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**21*b*(b*b**(1\/15)\/b*b)\/b*((b**12\/b*b)\/b)\/b**(-1\/24) assuming b is positive.\nAnswer: b**(3973\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 36*f + 130. Let v be i(32). What is the second derivative of -16*l**2 - 43*l - 49*l**2 + 55*l - 18*l**v wrt l?\nAnswer: -166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -611*n. Let d(y) = 242063*y**2. What is d(v(t))?\nAnswer: 90367201223*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 3*x + 19 = 0, -c - 3 = -6*x + 2*x. List the prime factors of 10\/(-4)*(-4)\/c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.91 - -0.09. Let g = z - 7.3. Suppose -2*d = -q + 13, -q = -3*d - 8 - 9. Which is the nearest to -0.1? (a) g (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x + 29 = 197 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6767 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/311807 + 20902013\/1137471936. Calculate the common denominator of q and -103\/480.\nAnswer: 18240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = y - 0*y, 5*y - 10 = 5*p. Suppose 3*h = 5*f + 60, -5*h = y*f + 40 + 20. Is 12 a factor of 5*39*(-4)\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxh when three letters picked without replacement from xichh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 3372, 1\/3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, r: 2, u: 11, e: 1, a: 3}. Give prob of picking 1 a, 1 e, and 2 u.\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*x**4 - 113*x**2 + 5*x - 91?\nAnswer: -84*x**2 - 226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1463130?\nAnswer: 2, 3, 5, 5419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 240 + -479\/2. Find q such that -1\/2 + 1\/4*q + c*q**2 - 1\/4*q**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4 - 6*h**3 + 9*h**2 + 24*h + 12 = 0. Calculate h.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2136 is divided by 575.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -6 (c) 3.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of h**7\/210 - 113*h**6\/120 + h**5\/30 + 125*h**4\/24 - 23*h**2. Find the third derivative of n(f) wrt f.\nAnswer: 24*f - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 29. Calculate the remainder when 53 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6695777*z**3 - 7842680*z wrt z.\nAnswer: -40174662*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.14872 and -4.\nAnswer: -0.59488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1338307347?\nAnswer: 3, 13, 34315573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 4:09 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/36*-6)\/2. What is the biggest value in b, 7, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 5, -0.1, 518, -3.1?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, 6, -44186 in decreasing order.\nAnswer: 6, 4, -4, -44186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-20)\/(-45) - (-957)\/(-27). Let r be 24\/o + 34\/85. What is the nearest to -1 in -12, -3\/5, 0.1, r?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o**3 + 57*o**2 - 164*o - 3122. Determine z(-19).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -16*f + 23. Solve -6 = -p + f*h, 5*p = -5*h - 3 - 17 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 1. Suppose 3*z - a = 34. Calculate the greatest common factor of z and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002435 to 5 decimal places.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -748, -1494, -2240?\nAnswer: -2986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7696807987 to the power of 1\/2, to the nearest integer?\nAnswer: 87731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 29, 78, 151, 248, 369, 514?\n\"Answer: 12*s**2 + 13*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -6*z - 114. Let d be (-18)\/(-8) + 6\/z. Solve -o + 20 = 4*o, -d*j = 4*o - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*t + 1 = -9, w + 4*t + 8 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 1, s: 2}. What is prob of picking 1 q, 1 g, and 1 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-18))\/(4\/(-8)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of b**3\/3 - 3*b**2 + 3*b - 5. What are the prime factors of a(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 100 = 3*v. Solve -v = 3*n + 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*m + 5*w - 4758 + 5072, 4*m - 2*w = 124 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 74, 318, 734, 1328, 2106, 3074?\nAnswer: 4238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (76\/(-8))\/((-2)\/12). Suppose -5*w = z - 33, -z - 4*w + 19 = -15. Calculate the highest common divisor of b and z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 7:45 PM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -125 + 175. Suppose -w*p = -52*p. Suppose 2 = -4*o + 18. Solve d - o*d + 6 = p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 7) in base 16?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 277365707 is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17085 (base 12) in base 7?\nAnswer: -165005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.041, -98007\/4, 8\/11 in descending order.\nAnswer: 8\/11, -0.041, -98007\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979029577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 0*t + 0*t)*(198*t**2 + 18519 - 18519) + (-13*t**3 + 2 + 19*t**3 - 9*t**3)*(0 + 0 + 1) as r + j*t**3 + l*t**2 + k*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilogram in grams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 0.1482, -5\/2, -3\/7, -1 in increasing order.\nAnswer: -5\/2, -1, -3\/7, 0, 0.1482, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + v**2 - 11*v - 10. What is t(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/5 + (-6)\/(-10). Let f = -4.48 - -0.48. What is the nearest to d in 1, -5, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10371688.\nAnswer: 2, 41, 103, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4*2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {k: 2, a: 1, u: 1, h: 2, f: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 6 = 4*z. Solve -4 + z = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -461352 + -217?\nAnswer: -461571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.3, 2\/13, 4\/3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t + 2*i = 11*t - 29, 5*t + 5*i - 70 = 0. Suppose -3*x + 5*k + 3 = -10, 5*x - 71 = -4*k. What is the remainder when t is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2500\/9 - 5357\/18. Let v = 848281\/139920 - 1\/8745. Find the common denominator of u and v.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5432 divided by -6\nAnswer: 2716\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyywyawltwwlwwt. What is prob of picking 1 t and 1 l?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/3*(-3)\/(-12). Suppose 7*j + 2*f = 5*j, 3*f = -2*j + 2. What is the closest to j in l, 4, -1\/2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -14381.39 and -1807.\nAnswer: -16188.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 - 13*w + 2. Determine j(6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-1)\/2*(-42)\/(14\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-9)\/(-6))\/((-12)\/8)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, x: 5}. What is prob of picking 1 f and 2 x?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 + 197*r\/3 - 56268.\nAnswer: (r - 324)*(r + 521)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -412218 + -31?\nAnswer: -412249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(7\/6)\/f**(1\/3)*((f**(-3)\/f)\/f)\/(f**(1\/6)\/f) assuming f is positive.\nAnswer: f**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-7\/3)*b\/(b\/b**(1\/5))*((b\/(b*(b\/(b\/b**0))\/b))\/b)**25 assuming b is positive.\nAnswer: b**(53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*i)*(0*i**3 + 0*i**3 - 2*i**3) + i**4 + 2 - 2 + 2*i**3 + 2*i**4 - 2*i**3.\nAnswer: 7*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 3066395.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130 = 15*g - 325. Suppose 0 = -g*o + 22*o - 45. List the prime factors of (20\/o - 3)*142.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 118 = -2*w - 0*u, -3*w - 4*u - 59 - 28 = -u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 327, 2, 19 in decreasing order.\nAnswer: 327, 19, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10514, -20825, -31120, -41399, -51662, -61909, -72140?\nAnswer: -82355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0015 + 1.0015. Let m be 1\/(((-35)\/3)\/(-7)) - 1. Which is the second smallest value? (a) -2 (b) s (c) m (d) 0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/72 - 272\/(-9). Suppose -2*c = -28 + 32. Let s be (-1803)\/(-12) + c\/((-16)\/(-2)). Calculate the greatest common divisor of s and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4676 + 8037 + 4904. What are the prime factors of r?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2707060811.\nAnswer: 7, 13, 4249703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g. Let h be a(2). Suppose h = 5*o - 0. Which is bigger: o or 3\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16829.9 - 16830. Let o = 2 - 5. Let j = o - -3.1. Which is the closest to 0.4? (a) -5\/4 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*k + 27 = 5*r, -r + 4*k = -15. Let x be (-4)\/r + 245\/15. Suppose -x*m + 11*m = -64. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1135 + 1783*c + 1135)*(-c + 2*c + c + (0*c - 3*c + 2*c)*(-8 + 2 + 1)) as v*c + b*c**2 + f and give b.\nAnswer: 12481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o + 6. What is the units digit of k(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 - 1 - 2 - 2*k**2 - 2*k**4 + 3 to the form m + b*k**3 + d*k**4 + h*k**2 + a*k and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -15668628 (base 9) to base 15\nAnswer: -a4d038","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**2. Let a(p) = -195608*p**2. Calculate t(a(q)).\nAnswer: -76524979328*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 472571 to the nearest integer?\nAnswer: 687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -7*a + 13*a. Let z(k) = k**3 + 5*k**2 + k + 6. Calculate z(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 41*c**2 - 477*c**3 + 196*c**2 + 476*c**3)*(-2 + 2 + 2).\nAnswer: -2*c**3 + 310*c**2 + 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/279 and 71\/101928?\nAnswer: 305784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = -0*p - 94*p + 1456 for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 384 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -9. Suppose -4 + a = 5*f. Let l(g) = g + 1 - 5 - f. Calculate l(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**4 + 52*j**3 + 13*j**2 - 6*j - 2. Let s(f) = -f**4 - f + 1. Let i(d) = 2*s(d) + u(d). What is the third derivative of i(a) wrt a?\nAnswer: -24*a + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) -5\/6 (c) 0 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) -1122 (c) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 28518?\nAnswer: -14259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 30 = -5. Let i be ((-30)\/(-24))\/((-1)\/(-8)). Suppose -2*d = -z*d + i. Solve -d*t + t = 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2817?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 - 3*t**2 - 7*t**3 + 0*t**2.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5095, 10193, 15291?\n\"Answer: 5098*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*p - 90, 0*p - 2*b = 3*p + 85. Let v = p - -39. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 786543*q - 786539*q + y + 13, -7*y = 2*q - 39 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.799 or 21.12?\nAnswer: 1.799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 596260 is divided by 198738?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 132, 307, 624, 1125?\nAnswer: 1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) 5 (c) 148 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1591, -6833, -15731, -28285, -44495, -64361?\n\"Answer: -1828*w**2 + 242*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205179 a multiple of 211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 126. What is the tens digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -0.1 (c) 1\/3 (d) -2\/11 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 0*m)*(-2*m - 4 + 4) - 2*m + 11*m**2 + 2*m.\nAnswer: 15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 38 and 18658.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22500 and 720.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 29814927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 2. Let b be a(1). What is the second derivative of 209 - 209 + 5*g**b + g wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((122*31\/113460)\/((-2)\/(-100))).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17349 + -17074. Solve 300*c - 25 = o*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 44\/6 + (-21)\/((-567)\/18). Suppose -t*f - 29848 = -124992. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 143 divided by 3023718\nAnswer: 143\/3023718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -807747 or -39579552\/49?\nAnswer: -807747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -3. Suppose 0 = 3*n + 4*m - 491, -20*n + 5*m - 654 = -24*n. Calculate the greatest common factor of s and n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {m: 2, w: 1, k: 4, h: 2, u: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tppptppptppppt. What is prob of picking 1 p and 2 t?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**2 - 4219*n + 13. Let d(q) = -18*q**2 + 4219*q - 16. Determine 5*b(v) + 4*d(v).\nAnswer: -2*v**2 - 4219*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*t - 3 + 3 as v*t + s and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 2, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 355092 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 3*w + 4 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13490 plus 0.38?\nAnswer: 13490.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-4 - -3*4\/12). Differentiate u**j + 7*u**3 + 9*u - 13*u - 39 wrt u.\nAnswer: 24*u**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 69 - 1 = -5*p, 3*p - 42 = 5*s. Suppose 0 = p*v - 18*v + 204. Let t = v - 46. Put 2, t, -2 in decreasing order.\nAnswer: t, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-15)\/2)\/((-2)\/4). Let x = n + 5. What is the remainder when 38 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1252302 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/28 - (-19)\/36. Let b be 1*(2 - 1)*0. Let l = 1 + -5. What is the closest to b in 0, s, l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c6088 - 4e5?\nAnswer: c5a93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16094678 divided by -2?\nAnswer: -8047339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 272*l + 6565 = -295*l + 38317 for l.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -13*o + 17*o + 1141, 0 = 4*o - 20. Calculate the highest common divisor of l and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20372 - -19949.22. What is q rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -212235634 <= -212235641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2416214, -2416265, -2416316, -2416367, -2416418, -2416469?\n\"Answer: -51*a - 2416163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 13*n + 14. What are the prime factors of u(15)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4568 and 5.\nAnswer: 22840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/3 (b) -1\/2 (c) 32798.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083 is divided by 65.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11176 * 33.3.\nAnswer: 372160.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 6*(1 + sqrt(19) + 1 + 1 + -4)*3)**2.\nAnswer: -468*sqrt(19) + 6325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 18*p**2 + 16*p - 41. Let u be ((-2)\/6)\/(1 - 2240\/2280). Calculate z(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**5\/9 - 20*k**4\/9 - 8*k**3\/3 + 8*k**2\/9 + 28*k\/9 + 4\/3 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-4)\/(-1)))\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - 1001?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 230741858 to the nearest one hundred thousand.\nAnswer: 230700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 - 2*o**2 + 9*o**2 + (-2 - o + 2)*(1 - 1 - 3*o))*(-1 + 0 + 2) to q*o**2 + p*o + l and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/y**7)\/y)*y\/(y*y**(6\/11)))\/(y\/(y*y**(-1\/2)\/y*y))**(-36))\/((y\/y**4)\/(y\/y**(1\/4)))**17 assuming y is positive.\nAnswer: y**(3925\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 245793*u*w**2 - 418965*u - 23*w**4 + 138 wrt w?\nAnswer: 491586*u*w - 92*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**2\/2 + 61. Let n(k) = 5*k + 6. Let h(j) = 6*j + 7. Let t(l) = 6*h(l) - 7*n(l). Give t(a(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -414320 (base 8) to base 7.\nAnswer: -1111440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -2, 12, 52, 81 in ascending order.\nAnswer: -4, -2, 4, 12, 52, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 689476 and 970?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 443173?\nAnswer: 17, 131, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 266126\/49 + 1\/(-11 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-1\/6)*a*a**6\/a)**(1\/25)*(((a*a*a\/((a*a*a**(1\/4)\/a)\/a))\/a)**(-8))**(-1\/11) assuming a is positive.\nAnswer: a**(2573\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 - -2)*(-3 + 1). Suppose z*c = 5*r + 5 + 9, -15 = 5*r - 5*c. Which is smaller: r or -4\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(44) + -1))**2 + ((sqrt(11) - ((sqrt(66)*2)\/sqrt(6) - sqrt(11))) + -3)**2.\nAnswer: -16*sqrt(11) + 189","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*x + 42*x + 4*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**5*v*v**0*v*v*v)\/(v\/(v\/(v\/v**(5\/3)))*v\/v**(-2\/5)*v))**33 assuming v is positive.\nAnswer: v**(1199\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 + 2*w**2 - 3*w - 7. Let h(r) = -r**3 + r**2 - r - 1. Let f(d) = 3*h(d) - m(d). Let s be f(0). Let p be -2 - s*36\/16. Is p > -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -16*b**3 - 2*b**2 - 10*b + 8. Let c(r) = 10*r**3 + r**2 + 3*r - 9. Let a(x) = -3*c(x) - 2*u(x). What is a(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233 + 2168 + 1809 + 891 - 2*o.\nAnswer: -2*o + 3635","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23264157 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:06 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 48401275?\nAnswer: 48401275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -142, -211?\nAnswer: -280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 - (-9 + 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 526041?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0\/5)\/(2*1). Let s(l) = -l**2 - l + 5. Let i be s(y). Solve 3*x - 2*u = 0, 0*x + i*u - 11 = 2*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 244*j + 208. Let n(b) = -26*b - 23. Give 6*k(h) + 56*n(h).\nAnswer: 8*h - 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of c**5\/20 - c**4\/2 + c**3\/3 - 9*c**2\/2 - c + 13. Let b = -10 - -16. Let r be g(b). Sort r, -5, -6 in descending order.\nAnswer: r, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5*t + 7*t + t - 2. Determine g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.72 - 1.7. Let f = -4.98 - w. Which is the closest to 1? (a) 1 (b) f (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -21*t**3 + 121*t**2 + 182*t + 41. Let m(l) = -4*l - 16*l**2 - 1 - 3*l + 17*l**2 + 6*l. Let n(d) = -f(d) + m(d). Factor n(x).\nAnswer: 3*(x - 7)*(x + 1)*(7*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 6*u**2 - 4*u - 6. Let n be w(-6). What is the greatest common factor of n and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112331, -224661, -336991, -449321, -561651, -673981?\nAnswer: -786311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g + 6811. Let d be c(0). Let b be (55\/(-18) + -3)*1126. Let w = d + b. Calculate the common denominator of w and -79\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -201086, -402222, -603360, -804500, -1005642, -1206786?\n\"Answer: -n**2 - 201133*n + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -35, 4\/3, 1\/3, -2543, -1, -73?\nAnswer: -2543","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 9:17 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12.8 - -0.2. Let w = 8.2 - x. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 61977, 61959, 61941, 61923?\n\"Answer: -18*t + 61995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 - 2. Let z = 1361 - 1361. Put -11, 1\/5, i, z in decreasing order.\nAnswer: i, 1\/5, z, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00576706684 to 4 dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -3 (c) 4 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/2))\/v)\/((v*v*v**(1\/13)*v)\/v*v)*(v**(-4)*v)**(-3\/32))**(-4\/7) assuming v is positive.\nAnswer: v**(1371\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/39 + 43\/273. Let x = 1 + -1. Which is greater: f or x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 78300481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1)\/(-8 - -7).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.941 + 3.941. Are 0.4 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, -82\/5 in decreasing order.\nAnswer: 0.2, -3, -82\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*b + b**2 - 4*b - 8*b - b**3 to the form z*b + l*b**3 + g*b**2 + k and give z.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*s**2 - 16*s**2 + 29*s**2 + 5833*s**3.\nAnswer: 5833*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 615.1 + -5.\nAnswer: 610.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((50\/(-8))\/5)\/(28\/(-112)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 2*n**3 - 3 - n**3 + n**3 + 5*n**3 - 2 + 2 + 3*n**3 + (-n + n**3 + n)*(-5 + 4 + 2) - 3*n**3 + n**3 + 4*n**3 - n**3 - 3*n**3 + 2*n**3.\nAnswer: 7*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (54 + -22) - 28.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -615 - -648. Calculate the greatest common factor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5320*d**2 - 13917115*d + 13080 = 0. What is d?\nAnswer: -2616, 1\/1064","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-9)*-15*-22. Is 9 a factor of ((-9)\/(-4))\/(11\/h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53\/(2862\/243)*2\/36*-28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3a - 13aee?\nAnswer: -13ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 109 = -c, -3*q = -2*c - 4*q + 233. Let o = -160 + 87. Let k = o + c. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25186 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4680499 divided by 3\nAnswer: -4680499\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**6\/120 - a**5\/12 - 7*a**4\/24 + 5*a**3\/6 - 4*a**2 + 3. Let z(w) be the second derivative of t(w). Determine z(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**5\/30 - 7*a**3\/9 - 2*a**2 - 43*a + 1. Factor h(w).\nAnswer: 2*(w - 3)*(w + 1)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + m + 10 = -9, 3*j = 4*m + 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 3. Suppose 72 = 5*f + 7*f. Let u be ((-1)\/f + (-19)\/57)*-6. Determine d(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580021 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -1.2. Suppose -i + 5*z + 30 = 0, -2*i - 5*z = i - 10. Let x be (-22)\/20 + 26\/i + -2. Which is the third smallest value? (a) n (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 + -1)*(-2)\/(-15)*-10. Which is the closest to -1? (a) 4 (b) m (c) 9\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*q + 41*q = 246. Let m = 47 + -43. Find the first derivative of q - 9*d**4 - 2*d**m - 78 wrt d.\nAnswer: -44*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of c**4\/24 - c**3\/6 + 8*c**2. Let w be h(4). Suppose -4*k + 248 = k - 3*g, -101 = -2*k + w*g. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 16*l + 131. Let c be f(-8). Calculate the remainder when c\/((4\/(-86))\/(8\/(-12))) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 + 35. Suppose -f*c = -13*c. Suppose 4*s - 96 = -c*s. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = u - 6*u. Let t = u - -4. Factor -1\/5*c**3 + 1\/5*c + t*c**2 + 0.\nAnswer: -c*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6872707 decades to millennia.\nAnswer: 0.006872707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffdllv. What is prob of sequence lvlf?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3 - 3 + 1 + 3 + 3 - 3 - 2 + (-2 + 1 + 3)*(5 - 5 + 2) - 3 + 0 + 2)*(1 + 1 - 3)*(3 + 8*g - 3).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + i = 0. Which is bigger: -8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.2 - 9.32. Let t = 0.12 + n. Let s = 1 - 1.1. Are t and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.104793575 to 3 dps.\nAnswer: 0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2. Let j(v) = v**2 - 4*v**2 - 21 + 21. Calculate j(a(x)).\nAnswer: -192*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*h**4 + 2049*h**3 - h**4 + 81*h**2 + 4*h**4 - 2049*h**3 - 790 with respect to h.\nAnswer: 32*h**3 + 162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 32, 63, 74, 29, -108, -373, -802?\n\"Answer: -6*f**3 + 26*f**2 - 5*f + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngiciilangn. Give prob of picking 1 l and 1 g.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7284977 is divided by 3283.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -2.6, -101, -3, 95, -1?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/37)*t*t)\/t**22 assuming t is positive.\nAnswer: t**(-739\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 12:48 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 277222 = 277222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39.63763047208 + 0.77648841108. Let l = r + 0.861134161. Let n = 38 + l. What is n rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -181, 773, 2847, 6035, 10331, 15729, 22223?\n\"Answer: -w**3 + 566*w**2 - 737*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -323033 - -131132?\nAnswer: -131301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43975 and 20550.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (1 + (6 - 7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) + -3*sqrt(228))\/sqrt(12) - 6*-2*sqrt(19).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3636 take away 626667?\nAnswer: -626667.3636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3056 and 224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2288 - 2285. Which is the nearest to 0? (a) 5 (b) p (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from {s: 6, g: 1, z: 3, u: 8}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.0426158 decades?\nAnswer: 0.000426158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -24*j - 26*j + 51*j + 1 wrt j.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffffzzpfffffffff. Give prob of sequence zfz.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u**4 - 6*u**3 - 2*u**2 + 6*u**3 + (-8 - 75 - 48)*(-3*u**3 + 3*u**3 + 2*u**4) in the form d + c*u + g*u**3 + l*u**2 + s*u**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + y = -31 - 13, y = 4*j - 86. Let t be 14\/j - (-22)\/3. List the prime factors of t\/(-14) - 148\/(-14).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 216 + -207. Suppose -z*s + 11*s - j = 4, -3*s - 2*j + 20 = 0. Solve s*h + 4 = -8 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qg when two letters picked without replacement from vrggrrqrccrcgg.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l - 5*v + 101400025, -l = 5*v - 33800025. Round l to the nearest 1000000.\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121d7 (base 15) to base 4.\nAnswer: -32013022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -5*t. Let u(w) = -9174*w**2. Calculate f(u(y)).\nAnswer: 45870*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 5 - 2. Suppose 0 = 3*k + 3*t - 3, 10 = k - r*t + t. Find the first derivative of 2 + 3*u**2 - k*u**2 + 0 + 0 wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494816 is divided by 70651?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1*sqrt(3)*-2)**2 + -4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7829, 7825, 7819, 7811?\nAnswer: 7801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 11596*p + 5 - 11569*p)*(3 - 2 - 2).\nAnswer: -27*p - 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence np when two letters picked without replacement from dnsnvrsppppppsd.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19478 - -19478.10639. Round s to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*v + 16*v - 43*v + 1441788. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90989.33*0.8.\nAnswer: -72791.464","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Three letters picked without replacement from wmnwpnwww. Give prob of sequence mnn.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6553*u**2 - 86*u + 13. Let a(w) = 1092*w**2 - 13*w + 2. What is 13*a(p) - 2*z(p)?\nAnswer: 1090*p**2 + 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**4. Let m(b) = -80*b**5 + 5*b**4 + 58*b. Let k(i) = m(i) - 5*r(i). What is the second derivative of k(c) wrt c?\nAnswer: -1600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16281103*p - 12163105?\nAnswer: 16281103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b + 1. Let h(k) = -4 + 3 + 0 + 0 + 2*k. What is -5*d(o) - 6*h(o)?\nAnswer: 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2668\/966 - (-18)\/(-189).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 8:02 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 (base 14) in base 6?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 0.328684kg?\nAnswer: 328684000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/2)\/(369\/(-246)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1323441 and 196?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -1576*q**3 - 10323*q**2 + 14058*q - 2328*q**3 - 2018*q + 1166*q**3 - 4033*q**2 - 2352 = 0.\nAnswer: -6, 14\/37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 7*c - 3. Let s be f(7). Let i = 0.7 + -0.1. Let u = 0.5 - i. Are s and u unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r + 139 = 47. Factor 0*i**r + 0*i - 2\/5*i**3 + 0.\nAnswer: -2*i**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 - 3*n + 18. Let g be s(-6). Solve 12*q - 15*q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 11 - 12 + 19 to n + b*z + y*z**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 155269*x**3*y**2 - 16508*x**3*y + 2*x**2*y**3 - 3*x**2*y - 6*x wrt y?\nAnswer: 310538*x**3 + 12*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 340. Let b = 267 - 190. Let s = b + -43. What is the highest common divisor of d and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 24*y**2 - 29*y + 4. Let m(a) = -3*a**3 + 69*a**2 - 82*a + 11. Let t(x) = -4*m(x) + 11*w(x). Determine t(11).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -157 to the nearest 10.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 243 - 13*h**3 - 52 - 52 + 16*h**3 - 7*h**2 in the form a + r*h**2 + o*h + m*h**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -38592, 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + t - t)*(2498*t**2 + 5*t**2 - 13773*t**2).\nAnswer: -11270*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 + 0 = 0. Let j be 1 + -1 + 3 + w. Suppose -2*c = -j - 8. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 4*v + 21. Let l be p(0). Which is the nearest to -4? (a) l (b) -0.2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 4 (c) 514\/15 (d) -3\/8 (e) 1\/3 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 - 185 = -4*u. Let q = u + 28. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, 1\/2, -21, -2\/63.\nAnswer: -21, -0.4, -2\/63, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10132302 divided by 2?\nAnswer: -5066151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 2*h - 33. Suppose 3*g + d - 47 = 3*d, 2*d - h = -4*g. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 11. Find the second derivative of -f*l + l - 9*l**5 + 4*l wrt l.\nAnswer: -180*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**2 + 405*j + 10700. Determine y(123).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1456158324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/60 and ((-72)\/15)\/(-2) + 56\/420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, o: 1, b: 11, a: 5}. Give prob of picking 3 a.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -14. Is 23 - (3 - (j - 1)) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -856 (base 16) to base 11\nAnswer: -1670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -100 + 1474. Let r = -16579\/12 + x. Find the common denominator of r and 103\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -18*x**2. Let y(z) = -251 + 500 - 4*z**2 - 3*z**2 - 251 + 2*z**2. Determine a(y(q)).\nAnswer: -450*q**4 - 360*q**2 - 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306.15582 - -0.15582. What is the third biggest value in -2, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4557, 3729, 2335, 375, -2151?\nAnswer: -5243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 81, 54, 27, 0, -27, -54?\n\"Answer: -27*w + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 4 - 1146*l + 7.\nAnswer: -1146*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q. Let j be (-1 - -1) + 2 + 0. Let z(x) = x + 3*x + 2 - j. Calculate t(z(a)).\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14923\/8397360 + -11\/6420. Is w at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 7*u + 4. Let f be c(4). Solve -5*l + 0 = 3*z - f, 4*l = 4*z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 8 = 6*g. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -8 - (-22 - (9 - 22) - -10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a - 5*h = 159, 4*h + 160 = -4*a. Suppose 3*t = 5*x - 45, 5*x = 2*x. Let u be (-5)\/t*(-246)\/2. Are u and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Suppose c + c = z. Solve 2*p + p + v + 12 = c, p + 3*v + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of 133*l**5\/5 + 517*l - 121. What is the derivative of f(c) wrt c?\nAnswer: 532*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33301331 (base 5) to base 7.\nAnswer: -2320635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3)*(-p - 19 + 17 + 8*p)*(103*p**2 + 115*p**2 - 109*p**2) as y*p + u*p**3 + b + k*p**2 and give k.\nAnswer: -218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*y + 18 = 4*k, 2*k + 2*k = -32 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3531 divided by -3.\nAnswer: 1177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -149 + -32 + 178 - -62.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 10 = -4*b, 2*d + 31 = 4*b + 7*d. Let c(w) = -5*w + 3. Let o(t) = -24*t + 16. Let m = -37 + 51. Let p(n) = m*c(n) - 3*o(n). Determine p(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6, -22, -54, -90, -130, -174, -222?\n\"Answer: -2*l**2 - 22*l + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/18*(-12)\/(-10) - -8. Suppose -r*n + 2*l + 150 = 0, 2*n - 5*n + 132 = 5*l. List the prime factors of n.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*s + 167*s - 2903 - 2437 = 241*s for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2. Suppose -4*l + 5*l = 1. Let z(s) be the first derivative of 1 - 1 - 2*s**2 - s**2 + l. Give z(f(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 9b?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.661 + -0.473. Which is the smallest value? (a) x (b) -3\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 2\/5, -3, 42?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmnmmppmmpnn. What is prob of picking 1 p, 1 m, and 1 c?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of 7*z**4\/24 - 17*z**3\/6 + 33*z**2. Let n be c(0). Let i(b) = -2*b**2 - 39*b - 3. Is i(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212753493 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 2071.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1864736 by -98144.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 193, 364?\nAnswer: 535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 3539*b - 14158. Give g(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*t - 929*t - 393*t + 1162*t**2 wrt t.\nAnswer: 2324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-0.08.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**0*p*p)*p)\/p*p*(p*(p**(-2)*p*p)\/p)\/p*p)**15 assuming p is positive.\nAnswer: p**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 + -0.62. Let f = 38 - 34.6. Let r = k - f. Which is the closest to 2\/7? (a) -1 (b) 0.2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 2:51 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4119978?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 14*g**6\/15 - 47*g**5\/5 - 14*g**4\/3 - 224*g. Solve y(z) = 0.\nAnswer: -2\/7, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 27*x**2 + 3*x - 10. Let o be n(-3). Calculate the greatest common divisor of o and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -13*k + 23111. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3 - 367*t**2 - 37296*t - 759132 = 0.\nAnswer: -198, -142, -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.6991113mg?\nAnswer: 699111.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.83769 millennia in centuries?\nAnswer: 8.3769","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 + 2*x**2 - 3*x**2)*((227*x + 256 - 256)*(-2*x + 4 - 4) - 2 + 2*x**2 + 2).\nAnswer: 904*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, a: 4, j: 4, q: 1, u: 1, l: 2}. What is prob of sequence lhj?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -47 smaller than -480?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-75)*5\/4. Let s be (-1)\/9 + (-487)\/(-9). Let d = s - 54. What is the third smallest value in d, 6\/7, t?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -379, -882, -1447, -2080, -2787, -3574, -4447, -5412?\n\"Answer: -z**3 - 25*z**2 - 421*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 153?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*p + 4*m = -16*p - 47, 3*m = 3*p - 30. Suppose 5*f = -3*b + 153, -7*f = -3*b - 2*f + 153. What is the remainder when b is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448264 is divided by 1033.\nAnswer: 1031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 52954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 55731*d - 167014. Calculate v(3).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of u**7\/1155 + 151*u**6\/330 + 709*u**5\/10 + 22499*u**4\/33 + 88804*u**3\/33 + 983*u**2. What is z in q(z) = 0?\nAnswer: -149, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(5\/3)\/((u\/((u**(-1\/5)\/u)\/u))\/u)*(u\/(((u\/(u\/(u**(2\/9)\/u))*u)\/u)\/u))**38 assuming u is positive.\nAnswer: u**(4726\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002496029295 to five dps.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*s - 61 + 25 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 38. Suppose -h = -b - 5. Suppose -2*z = 3*a + 13, -3*z = 3*a + 28 - b. What is the closest to 0.3 in 1, 2\/7, z?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -28. Let h be 4\/(u\/(-10))*16. Suppose -h = -w - 3*w. Let l(z) = -z**2 + 5*z. Determine l(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 125167 + -1377743\/11. Let u = t - -232831\/2827. Let y = -5938\/6939 - u. What is the common denominator of y and -53\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 0 - 32*n**2 - 2\/5*n**5 + 6\/5*n**4 + 48\/5*n**3 = 0. Calculate n.\nAnswer: -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17653 is divided by 67?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 394, 460, 530, 604?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -835 (base 13) to base 9.\nAnswer: -1821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.265258 rounded to 1 decimal place?\nAnswer: 15.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r**2 - 16*r**2 + 7*r**2 + 6*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 9 - 22 = 3*h, -43*h = 171 - 42 for n.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 733781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -142805366, -285610731, -428416096, -571221461?\nAnswer: -714026826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + f = 2, 3*n - 2*f - 2*f = -13. Let y be (-2)\/4*(n + -1). Suppose y = 5*t - 137 - 28. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - g = 0, -g - 2 + 1 = 3*p. Let a be (3 + -1)*(3 + p). Does 6 divide 6\/a*112\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -2*z**3\/3 - 116. Let j(l) be the first derivative of 17*l**2\/2 - 1. Give j(a(q)).\nAnswer: -34*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b**2 + 9*b - 26. Let j be a(-24). Let m = j - -2150. Suppose -177 = -c + 3*d + 2*d, -4*d - m = -4*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 0)\/(2\/4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 12:40 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -835\/2622?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/3 + 99\/27*(-65)\/(-143)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/9 + 284*s**2\/9 + 94*s\/3 = 0.\nAnswer: -141, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a - 27*a + 4*a + 2*a**2 - 9*a.\nAnswer: 2*a**2 - 28*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30526*y = 2*i + 30515*y + 29, 4*i + 5*y - 77 = 0 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13463 (base 7) to base 5.\nAnswer: 104141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3398, 1, 25, 2, 8 in increasing order.\nAnswer: 1, 2, 8, 25, 3398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -290 + 293. Calculate the remainder when 22 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.6+-485\nAnswer: -484.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28047032 to the power of 1\/2, to the nearest integer?\nAnswer: 5296","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i + 964. Let d(w) = -9*w + 962. Give 5*d(g) - 4*z(g).\nAnswer: -g + 954","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 27*j**3 + j**2 - 92*j + 91. What is the smallest common multiple of 69 and m(1)?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 - 6) + 306\/6. Let v(x) = 21 + 4*x**2 - w + 24 - x**3. Calculate v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*q - 0*q - 29, 4*q + 36 = 5*j. Let k be (-6)\/21 + (-30)\/(-7). Solve -6*g + 4*u + j = -2*g, 12 = -k*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -548+0.03\nAnswer: -547.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 10*l**2 + 20*l + 1. Let c be j(11). Let s = 105 - c. Solve 0 = -2*p + s*r + 5, -3*r - 5 = 3*p + 2*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 1 + -2 - (-254 - -255)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -2 + 4. Suppose 0 = 2*t + 4, -b + 7 = -5*n - 3*t. Suppose n = -4*y + 3*y - 3*o + 57, 2*y - 108 = -4*o. Is 12 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u**2 - 2*u - 1. Let o be i(-1). Suppose w = -w - 5*f + 19, 3*f = -o*w + 19. Which is the smallest value? (a) 3 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/100 and 131\/220?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {i: 1, c: 1, w: 1, v: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -273? (a) 0.4 (b) -3 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.16 - 3.34. Let r = 6.5 + s. Let c be ((-1)\/4)\/(3\/(-2)). What is the biggest value in r, 0.5, c?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5848 or -0.8?\nAnswer: 5848","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 24*h**3 + 236*h**2 + 552*h + 342.\nAnswer: -2*(h - 19)*(h + 1)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (249\/24)\/(99 + (-15067)\/152).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 8:33 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2838*p*x**2 + 2*p*x + 2*p + 7*x + 2 wrt x?\nAnswer: -5676*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 j, and 1 l when three letters picked without replacement from lllrllltllruvljvlt.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.1228 to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 16*o**2 + 3. What is i(16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 divided by -124?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3871.00002413 + -3871. What is i rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2252.79451+3\nAnswer: -2249.79451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -9*m - 7. Let u(y) = -1. Give i(j) - 5*u(j).\nAnswer: -9*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 112 + 551256?\nAnswer: 551368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1264215 (base 8) to base 10\nAnswer: 354445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + -44 - (-24 - 33)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 + 3*v**3 - 3*v**3 + (-3*v - v + 2*v)*(-1 + v**2 + 1) + v**3 + 3*v - 3*v.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -249159624 and 0.4788?\nAnswer: 249159624.4788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*f - 15 = -303*f, -4*o - 2*f + 2 = 0. Sort -2\/11, 0, o, -0.1, -2\/7.\nAnswer: o, -2\/7, -2\/11, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20393 + -36193. What is x rounded to the nearest 1000?\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjk when three letters picked without replacement from {s: 1, k: 1, j: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -10*g**2 - 95*g - 4. Let y be d(-9). Find the third derivative of -26*b**2 - 4*b**2 + y*b**5 + 12*b**2 wrt b.\nAnswer: 2460*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7*p + 36. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*2\/34*1. Let o = -0.2 + 4.2. Let z = o + -2. What is the second smallest value in 1, z, b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 272*-1.8\nAnswer: -489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0. Suppose 4*d - 25 = -d. Let y = -393951\/7 + 56279. What is the second biggest value in 2\/97, s, y, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k = -115 + 47. Let g(u) = 2*u**2 + 9*u - 3. Give g(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + -40. Let b be p\/(-95)*(1 - -4). Solve -3*l + b*g - 2 = 0, 2*l - g = -2*g + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cig when three letters picked without replacement from iigggcicccicgfgcccgq.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 17, r: 1}. Give prob of picking 3 d and 1 r.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1294966 and 10222.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 17*q**2 - 38*q - 1. Let k be z(19). Which is the biggest value? (a) -0.3 (b) k (c) -0.42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*n + 3*u, -8 = n - 2*u + u. Suppose -32*t = -28*t - 16. Put -6, t, n in descending order.\nAnswer: t, n, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -1, 347, 33 in ascending order.\nAnswer: -1, 23, 33, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 6:08 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 57938675?\nAnswer: 2\/57938675","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jo when two letters picked without replacement from {c: 2, t: 1, o: 1, w: 4, j: 3}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 19.7 (b) 3 (c) -629\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-4) + 0 + 9\/(-20). Let x = 7 + -3. Which is the third biggest value? (a) 1 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 64454, -1264 in ascending order.\nAnswer: -1264, -0.1, 64454","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (36\/6)\/((-2)\/4)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wnw when three letters picked without replacement from {n: 3, w: 15}.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 17850.322.\nAnswer: -17831.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/42 and 75\/7 - (8 - 1)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 15. Let p = 19 - z. What is the remainder when ((-10)\/(-4))\/((-1)\/(-14)) is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 1, v: 1, d: 4, c: 3}. What is prob of sequence pccv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -29 - f**2 - 102*f - 172*f + 52*f as g*f + u + w*f**2 and give g.\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 183 + -18929.\nAnswer: -18746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -ce06 (base 15) to base 8\nAnswer: -125210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1633 and 213.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 592937 is divided by 354.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 40\/30*(-2)\/(-12). Let r be 3 + -3 + 1 + 0. Suppose -p + 0 = -5*g + r, -p = 3*g + 1. Which is the closest to x? (a) -5 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttqttqqztttttq. Give prob of sequence zqt.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5001 + 2?\nAnswer: 5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -56. Let x be 3\/(5*15\/h). Let n be (-9)\/36 + (-9)\/(-68). Which is smaller: n or x?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3 - 4 - 1 + 3. Let x be (-14)\/(-6) + (-1)\/3. Let t(r) = -2*r + 1. Determine x*n(h) - t(h).\nAnswer: 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**2. Let g(u) = 25*u**2. What is g(c(l))?\nAnswer: 100*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - c**2 - 1. Let b(q) = 12*q**3 + 15*q**2 + 56*q + 4. Let p(f) = -b(f) - 4*v(f). Find the second derivative of p(i) wrt i.\nAnswer: -48*i - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 343 - 342.658. Let g = 0.042 - n. Do g and 0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 414617?\nAnswer: 7, 61, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*p + 110 - 20 = 46 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2868529 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*u - 3*l = 32*u + 16, 3*u - 4*l = -27 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1665*y = -1684*y + 87476. Round y to the nearest 100.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23146 < -23148?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*g**3 + g**2 - g**2)*(3*g + 2*g - 2*g)*(-2 - 1 + 5)*(-1 + 0 + 3) as v*g**2 + l*g + f*g**4 + u*g**3 + s and give f.\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjyy when four letters picked without replacement from yyyjjjy?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 1, i: 1, y: 2, p: 1, s: 2, w: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 22107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -0.0219.\nAnswer: 0.9781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2*36\/8)\/((-2)\/48). Suppose 54*j - n = 50*j. Find the third derivative of 107*f**2 - 62*f**2 - j*f**2 - 15*f**5 wrt f.\nAnswer: -900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 3*i - 6. Let w be k(3). Let j = 11 + w. Solve 0 = -j*o + 4 + 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d - 12*d = -j - 30, 9*d - 142 = j for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -5*j - 1516, 2*x - 3*j - 512 = x. Calculate the highest common divisor of x and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 30, 68, 120, 186?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3361632 is divided by 2432?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -2 + 2 + -1 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d - 35 = -3*l, 4*l = 2*d + 25 - 13 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -66 - (24 - (58 - 19)) - (-10 - (2 - 1))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41302 and 0.1073?\nAnswer: 41301.8927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -0.11 (b) -10 (c) 3\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 7*h - 16, -3*l - 3*h + 9 = 0. Let s be 0\/((4 - l) + 4). Let v(i) = i - 6 + 4 - 7 + 8. Determine v(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3648.38 and -339.\nAnswer: -3987.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 0.3 (c) -52 (d) -0.2 (e) -3 (f) 155\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*q**2*u**2 + q**2*u + q**2 + 6*q*u**2 + 7*q*u + 46*u wrt u?\nAnswer: -94*q**2 + 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h\/(h**(-2\/49)*h))\/h)*h*h)**(-11\/3)\/(h**5)**(1\/31) assuming h is positive.\nAnswer: h**(-66889\/4557)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vlcwlkcckkkkcccpkv. What is prob of picking 1 v and 2 k?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -756, -1522, -2288, -3054?\nAnswer: -3820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1034764 + 21?\nAnswer: -1034743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f**2\/4 - 153824457*f\/2 + 23661963571344849\/4 = 0. What is f?\nAnswer: 153824457","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29*u**2 - 98*u**4 - 36 + 11*u**2 - 105*u**4 + 17*u**2 wrt u.\nAnswer: -4872*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 8:55 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3927 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: Put 2\/11, 0.04, 67\/17, 4, -4, -1\/4 in decreasing order.\nAnswer: 4, 67\/17, 2\/11, 0.04, -1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.66 + 0.34. Let f = 6 - 3. Let n = f + -2.5. Which is the smallest value? (a) u (b) -3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/8 + -2 + 1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1660.54655 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 565, 0.5, -3, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -315 - -1133?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y**4 + 4*y**3 - 6*y**2 - 4*y + 5 = 0. Calculate y.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 220011223 (base 4) to base 12\nAnswer: 7b037","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - 6 = 0. Sort 0, k, 7 in descending order.\nAnswer: 7, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*n + 28 = -8*n, -2*h - 24 = 4*n. Let l = -0.1 - -0.2. What is the third smallest value in h, l, -2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6005 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6218, 6220, 6222, 6224?\n\"Answer: 2*y + 6216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 12*a**2 - 14*a - 16. Let d be n(-13). What is the third biggest value in -1, d, 2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2262576 = -86*m - 785666 + 461788. What are the prime factors of m?\nAnswer: 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n*n**(1\/2)*n*n**1\/n*((n*n\/((n**(1\/4)*n)\/n))\/n)**(-1\/19) assuming n is positive.\nAnswer: n**(263\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6*x**3 - 1. Let j be u(1). Suppose -m + q = -27 + 7, -26 = -2*m - 5*q. Solve 4*y + 2 = -f + m, j*f = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6557358357 to the power of 1\/6, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - o = 300. Suppose -9 = 2*q - 3*i, -5*i = -4*q + 6 - 23. What is the tens digit of (11\/q)\/((-5)\/o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 518126.7g?\nAnswer: 518126700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 + 7*m**2 + 2. Suppose 14*o + 14 = 12*o. Calculate the least common multiple of a(o) and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**2 + 2 - 1\/105*d**6 + 1\/84*d**4 + 0*d**3 + 1\/70*d**5 + 0*d. Let p(q) be the second derivative of z(q). Solve p(c) = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84190 and 39170.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*s - 9. Let x = 2 + s. Is 4 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/9 + (-215)\/45. Let n(j) = 5*j**3 - 5*j**2 - 12*j + 2. Let f(y) = 2*y**3 - 3*y**2 - 6*y + 1. Let c(r) = 7*f(r) - 3*n(r). Calculate c(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(243) + 2*sqrt(243)) - (5 + sqrt(108) + 0)**2) + -2.\nAnswer: -135 + 102*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/48, -0.26, 2\/5, -4\/599?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/13, -2\/9, -246, -4, -663?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**13*(g*g*g**(5\/14)*g)\/g*g)**(-45))**22 assuming g is positive.\nAnswer: g**(-120285\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 3*t**3 + 6*t**2 - 6. Suppose -9*d + 64 = -134. Suppose -24*s + d*s = -12. Let k(l) = -3*l**3 - 7*l**2 + 7. Give s*k(m) + 7*q(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -15 (b) 4 (c) 13 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5967948.\nAnswer: 2, 3, 7, 23, 3089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 3*o**2 + 7*o + 9. Calculate s(-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 5*l**2 - 5*l + 7. Let i be u(-6). What is the biggest value in 3\/8, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, d: 5}. What is prob of sequence ddd?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2404)\/104 + 696\/6032.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -1\/4, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(1584) + 2) + sqrt(1584) + -3*sqrt(1584)*-1 + 2)*6)**2.\nAnswer: 6912*sqrt(11) + 59328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 10:45 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, d: 2, a: 2}. Give prob of picking 1 i and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1574*o**4 + 2*o**3 + 32*o - 33. Let q(l) = -l**4 + l**3 + 8*l - 2. Let t(w) = f(w) - 2*q(w). What is the second derivative of t(z) wrt z?\nAnswer: -18864*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 558 = 12*h. Suppose h*d - 126 = 680. Calculate the remainder when 244 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -402, -403, -404, -405?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 6, -3*t - 3*w + 4*w + 17 = 0. What is the greatest common divisor of 25 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of l**4\/6 + l**2\/2 + 1. Let r(s) be the second derivative of w(s). Let b(m) = 5*m + 0*m - 3*m - m. Determine r(b(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 101101022 (base 3) in base 15?\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, u: 9}. Give prob of picking 2 t.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2118398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence czzz when four letters picked without replacement from {z: 19, c: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**3 - 3*p**2 + 20*p - 25. Let l(c) = -c**3 + c**2 - 10*c + 13. Let h(x) = 3*f(x) + 5*l(x). Let b = -92 + 96. What is the tens digit of h(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + sqrt(112) + 4)**2.\nAnswer: 8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 10*r - 1. Let u(i) = 15*i - 2. Let n(h) = -8*g(h) + 5*u(h). Let v = -7 + 4. Let p be n(v). Calculate the highest common divisor of p and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 21*f = 26*f + 28, -5*g - 10 = -f. Sort 6, -4, -9, g, 15.\nAnswer: -9, -4, g, 6, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.6614 plus -1?\nAnswer: 93.6614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 24632*t + 24628*t - 242 - 49338*t. What is h(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 7?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2)\/1 - (5 - 159*28\/(-84)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-2))\/(-3)*(-3)\/9.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/848580 and -27\/40?\nAnswer: 1697160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 2 g when four letters picked without replacement from kgjxkgpi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -t - t + 4*x, -5*t = -5*x. Solve 0*p = -3*p + f + t, -5*p - 5*f = -25 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 5*z + 4*z)*(1 - 2*z - 1)*(3*z**2 - z**2 - 3*z**2)*(7 - 2 - 9).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5930.072 + -5908. Let z = -66 + 88. Let m = z - f. Round m to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26630 by 5.\nAnswer: 5326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6177397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3550733.\nAnswer: 3550733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1358 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18*g**3*i**3 + 7*g**3 + 9*g**2*i**3 + 5*g**2*i**2 + 5*i wrt g?\nAnswer: 108*i**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:40 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92 * -282.939.\nAnswer: -26030.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - -1)*(-6)\/(-9) - -22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13441 to the power of 1\/2, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, -5, 115, 2\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2160*a**3 + 5*a - 1. Is x(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g + 13. Let s = -11 - -22. Let i be o(s). Suppose 600 = 4*r - x, i*r - 4*x - 359 = -45. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 - 4)*(5 - 1 - 2)*(-5*j - 2 + 4*j + 0*j).\nAnswer: 14*j + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10683 + 1?\nAnswer: -10682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5764 = 6*x - 2*v, 113*v - 114*v - 3844 = -4*x. Calculate the smallest common multiple of x and 52.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17960 - -17965. Solve 5*n - 9 = 2*d, 0 = o*d - 7*d - n - 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(10)\/sqrt(5)*-4 - (sqrt(16)*1)\/sqrt(8))*5*1)**2.\nAnswer: 31250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c**3 + 5*c**2 + 113400*c + 679140 = 0 for c.\nAnswer: -147, -6, 154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 73613, 73672, 73769, 73904, 74077?\n\"Answer: 19*o**2 + 2*o + 73592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 2. Let j be q(-5). Suppose 3*x - 5 = -4*h, 4*x + 18 = 3*h - j. Solve b - 4*g - h - 2 = 0, 1 = b - 2*g for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182289 take away 0.041?\nAnswer: -182289.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnwwnnnwnnnnnnnnnnn. Give prob of picking 4 n.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 39 + -12 - (0 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -18*d - 38 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - 0.1. Suppose -5 = m - 8. Which is the second biggest value? (a) y (b) m (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(252)\/sqrt(4) + 4 + 2.\nAnswer: -18*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -0.1 (b) 4 (c) -4 (d) -3\/13 (e) 0.074\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from flkplk. Give prob of sequence lk.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12990 - 10156. Which is the closest to -0.1? (a) 1 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b**3 + 3*b**3 + 3*b**3 + (17 - 5*b - 17)*(b**2 - 5*b**2 + 3*b**2) - 2*b**3 + b - 4*b + 4*b as s*b**2 + k*b + c*b**3 + y and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 287 + 1. Let p(t) = -2*t + 1. Let n(d) = -648*d + 288. Let h(f) = z*p(f) - n(f). Let w(c) = -c**2. What is w(h(v))?\nAnswer: -5184*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 9:12 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 28) + (17 - -14). Solve -8*r = -o - 11*r - p, 5*o = -5*r - 30 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u + 2*t - 35, 6*t - 2*t - 67 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/294 and 79\/17910?\nAnswer: 877590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/1299 and 47\/19767?\nAnswer: 8559111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 261 and 576.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -5*i - 7. Let a be x(-2). Find the second derivative of 1179*q**2 + 21*q**a - 44*q - 1179*q**2 wrt q.\nAnswer: 126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (2 - 5) - (-7 + 4)) + -5 + 90?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8466 by 1411.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1458) + 0)*4 + ((sqrt(384) - (-2*sqrt(384) - sqrt(384))) + sqrt(6) + sqrt(6))\/(sqrt(30)\/(sqrt(20)\/sqrt(2))).\nAnswer: 142*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12440 divided by -4759.\nAnswer: 12440\/4759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1222 - -3021?\nAnswer: 10303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/6, 0, -9, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 7207 + 7343. Suppose -h + c = 4*h. Is (-2)\/4*h\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 425 + -2?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 308 in 1\/199, 1\/10, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-349*r - 338*r + 495*r)*(r + 2*r - 4*r) to the form z + d*r**2 + p*r and give d.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)\/f)**(1\/2) assuming f is positive.\nAnswer: f**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 9*k**2 + 14*k - 4. What is i(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 + 2\/(-4). Let g(i) = 0 + l - 6*i + 7*i. Let u(q) = 7*q - 4. Let h(p) = 14*p - 7. Let s(o) = 4*h(o) - 7*u(o). Determine g(s(v)).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 5, -790.\nAnswer: -790, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 1. Suppose 0 = -w - s - 23. What is the tens digit of (15\/20)\/((-1)\/w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1366, -3\/5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a + 6. Let v be r(-1). Find the third derivative of 18*z**2 - 1 + 63*z**2 - 52*z**v - 37*z**3 wrt z.\nAnswer: -534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*k - 215*k + 17688 = 0. List the prime factors of k.\nAnswer: 2, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4359, -4380, -4417, -4470?\n\"Answer: -8*s**2 + 3*s - 4354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**3 - 174*b**2 + 2337*b + 5394 = 0.\nAnswer: -2, 29, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 61, 79, 97, 115, 133?\n\"Answer: 18*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3364561 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 8:24 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + sqrt(1300)*1)*-1 + (-4*(0 + sqrt(13) - sqrt(13)))**2*-2.\nAnswer: -20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*r - 560, 5*o - o = -r + 1141. Calculate the highest common factor of o and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2. Let b(u) = 1014 - 2028 - 582*u**2 + 1014. Calculate b(m(j)).\nAnswer: -2328*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/170 and -38\/119.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*b + 2*b - 4*b)*(-2*b**3 + 4*b**4 + 2*b**3).\nAnswer: 60*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 - 4*v**2 - v + 3. Suppose -c + 51 = 46. Calculate i(c).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -42, -58, -70?\n\"Answer: 2*p**2 - 26*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 177*g**3 - 14*g**2 + 4 wrt g.\nAnswer: 1062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(36)*6 + sqrt(36))\/(sqrt(324) - (sqrt(324) + sqrt(324) + 1*sqrt(324))))\/(5*sqrt(825)\/sqrt(11)*5).\nAnswer: -7*sqrt(3)\/2250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150 - 72 - 78 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 6:07 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 372, 604, 850, 1110?\n\"Answer: 7*d**2 + 211*d + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 0 + 1 - (0 + sqrt(208)) - 6*sqrt(91)\/(sqrt(7)*1).\nAnswer: -9*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**2 - 4 + 16*o**3 - 14*o**3 + 4 + 131*o**2 to the form g*o**3 + m*o + c + p*o**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t - 44. Let w be n(-16). What is the tens digit of (-1 - (29*-2 - w)) + 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2682 and 14007?\nAnswer: 12522258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 3889?\nAnswer: -3893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwuuulnnnunuunnnllw. Give prob of picking 1 n and 1 l.\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 14*h**2 - 27*h - 110. What is x(8)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 203 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*x**3 + 78771*x - 11030269 wrt x?\nAnswer: 27*x**2 + 78771","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0. Let l be -1 - (3\/o + -3). Suppose -l*b = -b - 1324. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/18*6*-8*(-51)\/(-16)*-1\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 498293?\nAnswer: 181, 2753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**3 + 4*f**2 - 51*f - 156. Determine v(-5).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150*q**2 + 3 + 143*q**2 - 330*q**2 - 3.\nAnswer: -37*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15141838601 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 78\/103 + 6633\/1442. Let s = 59015\/28 + -2108. Find the common denominator of s and q.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4555939 + 4556799.0383. Let a = -860 + c. Let h = a + -0.0742. Round h to three dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -903206, -1806420, -2709634, -3612848, -4516062?\nAnswer: -5419276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**3 + 6*y**3 - 3*y**3.\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 19*n**2 + 30*n - 14. Let u be b(-20). Suppose -18*o + u - 2036 = 0. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**2 - 6*q - 34. Let k(c) = -2*c**2 + 5*c + 39. Let z(x) = 3*d(x) + 2*k(x). Let z(o) = 0. What is o?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -12. Suppose 5 = 2*n - 1. What is the lowest common multiple of q*3\/(-12)*-2 and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -1, 618, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 47\/1348?\nAnswer: 47\/1348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 12:11 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -15*m + 16. Let r = -19 + 3. What is the units digit of d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42683143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(270)\/(sqrt(150) + sqrt(6)))\/(1*sqrt(1089) + sqrt(1089) - sqrt(1089)).\nAnswer: sqrt(5)\/66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 242763648.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3080, -3, 4 in descending order.\nAnswer: 4, -3, -3080","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7787744429 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3)*(9*j - 9*j + 5*j**4) + 2*j**4 + j**4 - 8*j**4.\nAnswer: -15*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31.1 - 29.1. Let v(n) = 4*n**2 + n + 1. Let g be v(-1). What is the third smallest value in g, h, -4\/7, -1\/8?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2912087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -3 - 0. Let x = 0.308 + -7.308. Put -2\/11, g, x in descending order.\nAnswer: g, -2\/11, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/2 + (9 - 55\/6). What is the second smallest value in -56, u, -0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.32469 and 0.3244.\nAnswer: -3.00029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 15, -5*p + 3*o - 2*o + 47 = 0. Let b be 20\/p*(-50)\/(-4). Suppose s - 6*s = b. Which is smaller: -7 or s?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - a. Let x be (-1 + 1)\/(6\/(-6)). Let z be j(x). Let b = 55 + z. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/42 - (-35)\/3. Suppose 5*f - k = -2. Suppose 0 = 3*m - 5*i + 10, -f*m + m + 25 = 4*i. Calculate the remainder when 19 is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 14*l**2 + 2*l - 27. Give m(0).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3493473158 + 3493473519.0000323. Let c = b - 361. Round c to six dps.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.66354 and -0.3.\nAnswer: 0.499062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*(-648)\/81.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 5. Suppose 20 = -4*c, 4*a - c + 154 - 3 = 0. Let x = -22 - a. Let m = -12 + x. Calculate u(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 5:05 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(14) - -1*sqrt(14)))\/(-5*(1*sqrt(2) + sqrt(2)))*1.\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12102001201021220 - -12?\nAnswer: -12102001201021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1168*q + 58583 + 34421 - 10076 for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*g*l*w**3 - 53*g*l*w**2 - 99*g*w**2 - 12*w**3 with respect to l.\nAnswer: -3*g*w**3 - 53*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/12 (b) 4 (c) -3 (d) 12\/7 (e) -125\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 3. Let a be n(3). Suppose -j - 2 + a = 0. Solve -j*g + 3*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45241 - -5?\nAnswer: 45250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*q + 8. Suppose -1 = -4*s + 7*s - 2*a, -q*s + 2*a - 4 = 0. Let c = 17 - s. Does 7 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002021 rounded to 4 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 815 = -5*b, 5*b - 4*b - 4*g + 139 = 0. Is b at most -161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1371 is divided by 341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of 23*f**6\/24 + 7*f**5\/20 - f**3\/6 - 25*f**2. Find the third derivative of r(p) wrt p.\nAnswer: 690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s = -17*s + 12. Let l(g) = -24*g - 7. Is l(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38618*a**2 + 38408*a**2 - 77010*a**2.\nAnswer: 16*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1734017380.\nAnswer: 2, 5, 23, 71, 53093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52354 + 5?\nAnswer: 52403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12426598 or 12426564?\nAnswer: 12426598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15567 - -15570. Solve -18 = -3*z - a, 0 = -g*z - 5*a - 236 + 266 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4378 * 0.3.\nAnswer: -1313.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 35631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 - 15*w - 14. Let m(d) = -15*d**2 + 31*d + 29. Let q(f) = -13*l(f) - 6*m(f). Let g be q(9). Let i = g + -6. Solve -i*v = 5 + 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*v**4 + 4*v**2 - 2 - 2*v**3 + 2*v**4 + 0*v**4 + 2*v + 2*v**4 to k*v**3 + b*v + m*v**4 + p*v**2 + f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(3\/(-36)). Let j be 14\/(-6)*q\/(-1). Let t = j - -32. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*d**3*k*s**3 + 14*d**3*k*s**2 - 2*d**2*s**3 - 2*d**2*s + 69*d*k*s**3 - 2*d*s**2 wrt d?\nAnswer: -66*k*s**3 + 84*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 4:41 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 12*z**3 + 2099*z + z**2 - 2099*z as y*z**3 + k + m*z + q*z**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 592*((-98)\/(-637) - 9\/(-26)) and 22?\nAnswer: 3256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6770281 centuries to decades.\nAnswer: 6.770281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b*b\/b**(-5\/6))\/b))\/((b\/b**(7\/4)*b)\/b)*(b**(-19\/3)*b)\/b**(4\/13) assuming b is positive.\nAnswer: b**(-893\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6083 + -6076.3. What is m rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345858815.\nAnswer: 5, 1873, 36931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15330 divided by 5110\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (17420\/78)\/(2\/48). Let b = p + 10879. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-21)\/35 - (-28086)\/10. Suppose -2182 - s = -5*t. Suppose 4*a - t = -2*h, 998 = h + h + a. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 + 41. Which is the closest to -2? (a) -3 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000122149 to 7 decimal places.\nAnswer: -0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-11\/2)*w**(-14\/5) assuming w is positive.\nAnswer: w**(-83\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/22*(47\/2 + -21)?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41368 divided by -3?\nAnswer: -41368\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 4, 4\/5, -33, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -116.3 rounded to 0 dps?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 133949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 38*k**2 - 2*k - 87. Let n be g(-38). Let u(s) = s**2 - 12*s - 3 - 1 - 2*s**2. List the prime factors of u(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = 4*p - 0*p. Let y be 7\/21*(1 + p). Calculate the highest common divisor of y and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -13*y + 48. Let u(o) = -6*o + 24. Let n(b) = -2*t(b) + 5*u(b). Let v(g) = -g + 1. Let p(s) = -2*n(s) + 40*v(s). Does 12 divide p(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2875.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 47*w**2 - 226*w - 353. What is l(-9)?\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yryr when four letters picked without replacement from {y: 2, r: 7, p: 7}?\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: d09cf (base 16) to base 12\nAnswer: 3525a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 48 = -2*b, 2*u + b = -0*u + 48. Let j(h) = h**3 - 2*h**2 - 5*h - 2. Let l be j(5). What is the greatest common divisor of l and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -45243357 + -14989899. Let m = t - -60233252.60000008. Let w = m + 3.4. What is w rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*k = -210 - 132. Put -68, k, 2, 9 in descending order.\nAnswer: 9, 2, k, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-3)*-2)\/((-36)\/1080). Let k(o) = o + 13*o**2 - 28*o**2 + j*o**2. Give k(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-10))\/((-5)\/(-200)). Let s be (-8)\/k*(1 - -1). Let n be ((-5)\/2)\/((-9)\/18). What is the third biggest value in n, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12090)\/(-8) + (-62)\/248 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 130416 - 0.01.\nAnswer: 130415.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46467600 > 46467599?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7759 - -7752.623. Round x to 0 dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/297*-9 - (-6)\/(-16) - 26533\/(-312)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 5*i**2\/2 - 18*i + 12. What is the tens digit of v(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*r - 10 + 20 - 3 - 75*r.\nAnswer: 3*r + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14\/26381 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3666 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 562914 = -22*f + 19*f, 187673 = f - 6*v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 2*m = -143, 0*m - m = 0. What is the highest common divisor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 57 and 27.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 12873515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 + 82 + (6 - 10 - -5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 100 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 93*b**2 + 1680*b + 108.\nAnswer: 3*(b + 18)*(31*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16699434 and 3.\nAnswer: 50098302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 164\/1099 - 1\/157. Put u, 35, -1\/3 in increasing order.\nAnswer: -1\/3, u, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48622 and 36386.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(1\/2 + 1). Suppose -34 = -r*z + 22. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15, 72, 169, 306, 483, 700?\n\"Answer: 20*m**2 - 3*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -894*z + 12044*z**2 - 1897*z**4 - 12044*z**2 wrt z?\nAnswer: -22764*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0461064 nanoseconds?\nAnswer: 0.0000461064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -154, -158, -166, -178?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 566*c + 144588. Give k(191).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3*n**2 + 3*n + 5*n**3 - 4*n**3 - 2*n**3 + 4. Suppose 0 = 3*x - c - 10, 4 + 2 = -x - 2*c. Let u = 6 - x. Give k(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 990 divided by -3.\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143146\/7 + 20450. Factor 2\/7*j**2 - i*j - 6\/7.\nAnswer: 2*(j - 3)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80\/5*3*3\/18\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1\/3)*v)\/(v**4*v))\/((v\/(v\/(v*v*v*v**(2\/5)*v)))\/v**7))\/((v**(2\/3))**(-1\/2))**(-26) assuming v is positive.\nAnswer: v**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2439 - -3524d?\nAnswer: 37687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 15 = 0, 3*j = p - 20 + 7. Let x(l) = 42*l - 22. Let f be x(7). Let r(c) = f - 272 - 4*c. Determine r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 14, 44, 94, 170, 278, 424, 614?\nAnswer: 854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10689 and 2457.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = 2*q - 5*q, 0 = 3*h + 4*q + 16. Let s be (-17)\/((-6)\/33 + (-6)\/88). Let m = 72 - s. Solve -4*i - m*f + 4 = -h*i, -16 = -4*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058161031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**35)\/(((p*p*p**(-2\/71)\/p)\/p)\/p))**(-6))**(-7\/4) assuming p is positive.\nAnswer: p**(-49161\/142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/((-3)\/6). Let r = v + -4. Sort 2, -4, r.\nAnswer: -4, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 times -47455?\nAnswer: -854190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 14979.2 and 7.8.\nAnswer: 14987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33188, 33298, 33408, 33518, 33628, 33738?\nAnswer: 33848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + -0.02. Let o = m + 1.4. What is o rounded to one dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1708.\nAnswer: 2, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 131*t - 27. Let h(s) = -240*s + 55. Let u(o) = -6*h(o) - 11*y(o). Determine u(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37.84 - -0.84. Let m = 37.034 + t. Round m to 2 dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b**2 - 7*b**2 + b**2)*(-5 + 5 + 2*b) - 4*b**3 - b**3 + 2*b**3 + (3 - 3 + 2*b**2)*(2*b + 2*b - 2*b) - 3*b**3 + 2*b**3 + 3*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4681755.\nAnswer: 3, 5, 13, 53, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 204*y + 1 - 201*y + 401*y.\nAnswer: -4*y - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 3*o + 21. Suppose 2 = -2*v + x, -5*v - 1750*x = -1748*x + 41. What is f(v)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -313508 to the nearest 10000.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*q**3 - q**3 - q**2 - 10*q**3 + 2 + 2*q**3 - q**3 - 7*q**3 + (-q - 2*q**3 + q)*(-3 + 3 + 2) - 2*q**3 - q + q.\nAnswer: -17*q**3 - q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7)\/(-5) + (252\/(-105))\/(-4). Which is the closest to -1\/2? (a) 0.3 (b) d (c) 2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8751 - 8509) + (0 - 109).\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 240899 is divided by 365?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27954813?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -39895a5 (base 11) to base 3\nAnswer: -110222020202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c + 17 = 0. Let b = 5996 - 41970\/7. Which is bigger: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3207*h**2*r**4 + h**2*r**2 - h**2*r - 86*h*r - 2*h + 26 wrt r?\nAnswer: -38484*h**2*r**2 + 2*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/2)\/(65\/13). What is the third biggest value in -1, 0.1, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -x**9\/11340 - x**8\/1680 + 2*x**7\/945 + 161*x**4\/12 - 135*x. Let v(l) be the third derivative of y(l). Factor v(b).\nAnswer: -4*b**2*(b - 1)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 5765930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q - 3. What is the third derivative of 2 + 3*o**2 - q + 0*o**2 - 2*o**5 wrt o?\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 4*f**3 - 3*f**3 - 28*f**4 + 2*f**4 to the form w*f**2 + m*f**4 + v + d*f + t*f**3 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 12*h = 1. Let d(s) = 40*s + 2. Does 14 divide d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w + 8*w. Let f be 4 + (48 - (1 - w)). Suppose 8*o + f - 178 = 0. Solve -l - 3*i - 24 = -4*l, -o = 4*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107\/20 + -23\/4. What is the nearest to 0 in f, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 8*a = -z + 4, -8 = -4*a. Let o(b) be the third derivative of -1\/840*b**6 + 0 + 1\/210*b**5 + z*b**3 - 1\/168*b**4 - 6*b**2 + 0*b. Factor o(r).\nAnswer: -r*(r - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41944 and 49306544.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0771615872486 - -0.4.\nAnswer: 0.4771615872486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10111030202 (base 4) to base 15\nAnswer: 17662e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.9 times 1.105\nAnswer: 0.9945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f - 3. Let v(o) = -5*o + 8. Let x(w) = -8*k(w) - 3*v(w). Let l(z) be the first derivative of z**3 + 4*z - 11218. Calculate l(x(d)).\nAnswer: 3*d**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25 - (-16423 + -10 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2005, -3997, -5979, -7945, -9889, -11805, -13687?\n\"Answer: i**3 - i**2 - 1996*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860873 is divided by 199.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 49892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 10:29 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2055 + 9?\nAnswer: 205e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - -2223?\nAnswer: 2301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 22*a**2 + 25*a - 30. Let u be o(23). Suppose 3*n - n = u. Suppose 3*s - n*s + 275 = 0. What is the greatest common divisor of 11 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -299179.5294541 and 4.\nAnswer: -299175.5294541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d + 0 - 2 + 0*d + d. Let f(n) = 1. What is -f(s) - x(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3)*12\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {y: 12, q: 7}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 212101322?\nAnswer: 212101312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Let l = -28653 - -28652.9. Suppose 3*v = g + 16, 2*g + 3*v = -7 + 20. What is the second smallest value in k, g, -3, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 1. Let i be f(-1). Sort -13, 6, i in ascending order.\nAnswer: -13, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w**2 + 39*w + 76. Let d(l) = -15*l**2 + 79*l + 150. Let h(b) = 6*d(b) - 13*o(b). Give h(35).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 21 - 6. Suppose 0 = p*r - 2*r. Suppose 3*s + 0*s - 66 = r. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -10, 2, -0.1 in decreasing order.\nAnswer: 2, 0.4, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + o = 33 - 9, 0 = -3*p - 5*o + 70. Let k(y) = -y + 26. Let n be k(p). What is the greatest common divisor of n and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -27, -35, -25, 9, 73?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.817 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 1 w when three letters picked without replacement from liigccdggwcwgl?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5\/2, -1\/4, 0.06, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 329\/7*-1*3. Let l(u) = -u**2 + 9*u - 2. What is the remainder when ((-6)\/(-18))\/((-1)\/j) is divided by l(6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 11) to base 13\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 2:48 PM?\nAnswer: 8:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 13*z + 4. What is c(-6)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 524*n + 96182. Determine y(-668).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrqq when four letters picked without replacement from {q: 16, r: 1, l: 3}.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**3 + j**3 - 7*j**3)*(6*j - 2*j - 3*j).\nAnswer: -13*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 109, 4, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1037461307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-126 + 46 + 74)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0 (b) 8 (c) -0.5 (d) 1.2 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -6. Let z be (m\/(-9))\/((-1)\/3). Suppose -10 = -z*p + 22. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10720 and 1179680?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -126569*r**2. Let d(h) = 263*h**2. Determine d(c(y)).\nAnswer: 4213184193143*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -104\/3 + 35. Let s = -8.9 + 7.9. What is the closest to s in -2\/5, m, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181 - 13*p - 181)*(0*p + 3*p - p) + (-43 + p**2 + 43)*(-3 + 0 + 0 + 0 - 4 + 3 + (-5 + 1 + 5)*(3 - 5 + 1)).\nAnswer: -31*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h + 1. Let y(p) = -3*p**2 - 84*p + 983. Let o(v) = 10*d(v) - y(v). Differentiate o(g) wrt g.\nAnswer: 6*g + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1295\/3290 + (-2)\/(-4). Which is greater: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (((sqrt(78) + -1*sqrt(78))*-6 + sqrt(78))*1)\/(sqrt(42)\/(sqrt(7) - 2*sqrt(567)))*-1)*4)**2.\nAnswer: 60112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13292 in -4, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 7 = -h + t, 5*h - 6*t = -20. Suppose 5*l - 3*m = 76, -h*m - 13 + 19 = 0. What is the remainder when 60 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -79*b - 11. Give v(-1).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22968?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3202 + 5242. Suppose 9*v + x = 24*v. What are the prime factors of v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-three fifths of a milligram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/8)\/(2\/(-72)). Let c be (-15)\/42*a\/15. What is the nearest to 1 in c, -2\/5, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1682282108 a multiple of 3811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2587*t + 2596*t = -9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17796\/80 - 1\/(-4). Let y = z + -219. Calculate the common denominator of y and (-1569)\/(-168) - 4\/(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114 (base 7) to base 15\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 54233243, -1 in increasing order.\nAnswer: -3, -1, 54233243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/9*6\/(-14). Put m, -2\/5, -5\/6 in decreasing order.\nAnswer: m, -2\/5, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3*(-1 + sqrt(1300) + sqrt(1300) + sqrt(1300)) - sqrt(1300) - (sqrt(1300) - (sqrt(1300)*2*-1)**2)).\nAnswer: -31218 + 660*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 741 - 119. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80\/2 + -1 + -2 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -186*g + 6. Let y(v) = 4*v + 1. Determine 2*s(p) - 14*y(p).\nAnswer: -428*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2896\/(-2340) + 4\/18 and (-13 - -6) + 2 + 9 - 176\/30?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 + 7 + (16 - 0)\/2. Suppose 5 = 3*x + r*v + 13, 4*x + 2*v = -4. Which is the second biggest value? (a) 4.3 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 154\/6*((-8892)\/133)\/(-52)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -13. Suppose -4*j - b*d - 1 = -14, 0 = -3*j + 2*d + 31. Calculate the remainder when 26 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9994428\/238383 + (-2)\/(-27)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15\/(-6) - -2)*6. Let b = -2 + -2. Let g = w - b. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1393.61*6.3.\nAnswer: -8779.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11865 or 11862?\nAnswer: 11865","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 5*o**2 + 4*o + 2. Let k be m(-4). Suppose k*u - 2*y - 2 = 0, 2*y - 3 - 5 = 0. Suppose 68 - 223 = -u*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 388385 <= 388385?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3*x + 1)*(2*x - 3 + 3) + x**2 - 943 - 792 + 1552 in the form t*x + q*x**2 + c and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ljfl when four letters picked without replacement from llfflllllljfllljjfll?\nAnswer: 26\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 6865*o + 6870*o - 13737*o as s + n*o and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1625234 (base 7) in base 16?\nAnswer: 36f6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -46 + 46. Which is the third smallest value? (a) q (b) 0.01 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 6*y - 23. Suppose 4*j - 4 = -3*g - 23, -2*j + y = -5*g. Let c(w) = 4*w - 4. Let s(d) = -6*d + 6. Give g*s(b) - 8*c(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3337?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**3\/11 - 2*j**2 + 290*j\/11 - 266\/11 = 0. What is j?\nAnswer: -19, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*w + 3*r - 8*r, 0 = 3*w - 4*r + 12. Sort w, 5, 3, -1.\nAnswer: -1, w, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419637\/(-19995) - (-6 + 45\/(-3))?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1416214 is divided by 708090.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 864?\nAnswer: 866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 16, w: 3, c: 1}. Give prob of picking 1 w and 1 p.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + s. Let b be n(-3). Solve -b - 9 = -5*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 30*s + 4596. Let a(t) = -37*t - 4596. Determine -4*a(d) - 5*u(d).\nAnswer: -2*d - 4596","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvctc. What is prob of sequence vcc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*q + 14 - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22197\/4 - 1317271\/236. Let c = w + 273119\/8142. Find the common denominator of c and -25\/18.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w + 9. Let y(i) = -i + 6. Let l(s) = -4*f(s) + 6*y(s). Let z(u) = 29*u**2 + u. Determine z(l(t)).\nAnswer: 116*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 141 a factor of 402099993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - l - 3)*(2 + 6 + 1)*(2 + 2 - 5 - 5 + 3 + 3 + (2 - 1 + 1)*(-3 - 2 + 3) + 4 - 2 + 0) to r + j*l and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -807 + 829. Which is the second biggest value? (a) 2 (b) g (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -6, -5, -4, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of l**6\/900 - l**5\/150 + l**3\/3 - 3*l - 25. Let j(f) be the third derivative of y(f). Factor j(r).\nAnswer: 2*r*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m - 3823 = -4*k - 3933, 20 = 2*m - 3*k for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58104 and 852282.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 32 = 4*z, -17501*z + 17497*z - 3*f = -7 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -737, -740, -743, -746, -749?\nAnswer: -752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -3. Let y be (-1)\/w - (-1)\/(-4). Suppose -4*p - 2*d + 126 = 0, -4*p + 5*d + 28 + 77 = y. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 21. Let h be n(11). Calculate the highest common divisor of 80 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 5 = k + a, -k - 5*a - 13 = 0. Let c be 2\/(4 + k + 0). Let s be (-1)\/1*c - -1100002. What is s rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110110100110101101001 (base 2) to base 14\nAnswer: b1a877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -6*g**3 - 5*g**2 - 13*g - 46. Suppose -5*s - 29 = l, -6 + 31 = -5*s. Is j(l) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 19 = 21 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - -2 - (6 - 2). Let m be 2\/t*4\/2. Let i be ((-1)\/(-4))\/(2513\/(-140) - -18). Are i and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 5*t**2 - 2*t - 7. Let d be u(-5). Let z be (-4399)\/(-901) - (-2)\/17. Solve -3*s + 15 = -0*s + 3*p, -d*p = z*s - 23 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22545 (base 11) to base 7.\nAnswer: 164016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-7725)\/(-824))\/((-6)\/(-8))*2\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23077333\/330 + 69931. Calculate the common denominator of z and 103\/36.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -14, -10, 26, 112, 266, 506?\n\"Answer: 3*b**3 - 11*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 173902218 and 16422.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(24) + sqrt(1944))*-5)\/(-1*sqrt(432)*3).\nAnswer: -50*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 7:34 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 13*w + 0*w + 9*w - 4*w - 2*w. Determine y(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4 + b**2 - b - 5*b + 6 + 9 - 2*b**2. What is g(-11)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 5, q: 1, k: 2, x: 6, t: 2}. Give prob of picking 4 x.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 10*o**2 + 13*o - 4. What is the remainder when w(10) is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/4 of a millimeter in micrometers?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t + 0 + 2 + 3*t - 5. Let a be y(5). Find the third derivative of -2*n + 5*n**2 - a*n**4 + 5*n - 3*n wrt n.\nAnswer: -48*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + 73*p - 1311. Give o(50).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 - 3. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + a + 8, -2*a + 14 = 4*v - 5*a. Put v, -4, -3, -11 in descending order.\nAnswer: v, -3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - -2*sqrt(77))*1)\/(sqrt(1100) - (3*sqrt(1100) - sqrt(1100))).\nAnswer: -3*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 26*k + 5. What is z(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -572 divided by -11.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.58449um in millimeters?\nAnswer: 0.09458449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 1506*w**2 + 10523*w - 19. Give i(-7).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 3. Suppose -h*l = -b - 8, -5*b + 1 = -4*l - 1. Is b less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3*u + 0*u)*(u**2 - u**2 - u**2) + (22 + 45 + 2)*(2*u + 1 - 1)*(0*u**2 - 2*u**2 + u**2).\nAnswer: -140*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 469230?\nAnswer: 2, 3, 5, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 186652, 373303, 559954, 746605, 933256?\n\"Answer: 186651*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = -v. Suppose 4*t = 3*q + 1511, -t - q = -v*q - 376. Let s = -250 + t. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v - 14. Let w be c(-2). Solve 3*k - 16 = -w*m, -3*m + 2*m = 3*k - 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 673 - 516 = -5*j, 0 = 2*j + 5*u - 463. What are the prime factors of j?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36257.1 rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {p: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 8:04 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 3*d + 6*d - 6*d.\nAnswer: 3*d + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mst when three letters picked without replacement from ttsmmtmttmmtmm?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9801*c**3 + 57357*c + 12450*c**3 - 114716*c + 57359*c)*(-c**2 + 0*c**2 + 0*c**2).\nAnswer: -22251*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (24\/(-16))\/(2\/(-4)). Suppose -5*h = -x - 4, -x - l*h - 1 = -5*h. Differentiate -m - x + m + m wrt m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4812*y**3 + 0*y**2 + 0*y**2 - 4822*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 523399387.\nAnswer: 7, 967, 77323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - r + 15, -5*o + r = -20 - 0. Let v = -3 + o. What is the third smallest value in 0.2, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-862)\/(-48) - 10105\/16168).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128445 is divided by 665?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1120, 2241, 3362, 4483, 5604?\n\"Answer: 1121*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 0. Suppose 4 = 6*r - 5*r. Suppose r*k + 4*y = 28, y = -0 + 5. Solve 11 = -5*a + 3*p, -f*a + p + k = 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 54 - 53 = 2*l, -21 = -2*l - n. Suppose 0*x + 2*x - 22 = -4*j, 3*j + 3*x - 24 = 0. Solve -a = -j*a + l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.36 + 23.1?\nAnswer: 27.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426956.\nAnswer: 2, 106739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 4948695?\nAnswer: 4948693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h - 10*h - 5*h - 8*h.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*l + 29 = -7*l, 13 = -3*n + 2*l. Let a(i) = i + 10. Let r be a(n). Let o = r - -3. Calculate the greatest common divisor of o and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85.8 + 71. Let d = k + 15. Let y = -0.44 + 0.54. Which is the nearest to y? (a) d (b) 1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 97*z**2 + 28*z wrt z.\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728 is divided by 134?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1 + 3 + 364\/(-44) and 31\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -200? (a) -0.3 (b) 1061\/13 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 6. Let v = m - -4. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 - 7*l**2 + 7*l + 7. Let m(g) = 3 - 77*g**3 - 75*g**3 - 5*g**2 + 153*g**3 + 5*g + 2. Determine 5*i(t) - 7*m(t).\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2. Let w(u) be the second derivative of -10*u**3\/3 + 28*u + 2. What is w(z(o))?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 12:39 AM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + f = 2*b - 5, 2*f = b + 4. Suppose 206 = 4*a + b*n + 62, -4*a - n = -142. List the prime factors of a.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1550413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 2:58 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 89 in 2\/3, 0.03, -4\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1008*m - 921. Let s(q) = -507*q - 460. Let v(f) = 5*b(f) - 9*s(f). What is the first derivative of v(k) wrt k?\nAnswer: -477","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 137 = -5*l + 75, m + 3*l = 105. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 12:24 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 262 divide 1526936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-4 - 0) + (-429)\/(-156)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 16858127?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - t - t + (-4 - 2*t + 4)*(-6 + 4 + 4) + (-114 + 328 + 266)*(13 + 8*t - 13) - 2*t + 1 - 1 + (-4 + 3 + 2)*(0*t + 2*t + t) - 1 + 1 + t.\nAnswer: 3840*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 489.6 * -15.\nAnswer: -7344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fhh when three letters picked without replacement from mdnmnddndhhhmnvvnmhf?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -50, 31649, 37 in descending order.\nAnswer: 31649, 37, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-151.5.\nAnswer: -4999.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -4. Suppose 42 = 4*q - 94. Suppose -29*r + q*r - 270 = 0. Calculate the remainder when r is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -30*i**2 - 11*i + 134*i**3 - 270*i**3 - 17*i + 134*i**3.\nAnswer: -2*i*(i + 1)*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/5, -5, -3560, 2, 2\/9 in ascending order.\nAnswer: -3560, -5, -2\/5, -0.2, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 8. Let d = 11 - 8. What is the closest to 1 in -3, p, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2333*n - 653. Does 115 divide q(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**8\/112 + 123*y**6\/40 + y**5\/60 + 149*y**3\/2 + 1448*y**2. Find the third derivative of b(h) wrt h.\nAnswer: 180*h**2 + 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 9*j**5\/10 + 11*j**4\/6 + 2*j**3\/3 + 6*j - 8. Let y(u) be the first derivative of s(u). Factor y(g).\nAnswer: 2*g*(g + 1)*(9*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2329.\nAnswer: 17, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 AM and 7:13 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -178113 or -178085?\nAnswer: -178113","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-24)\/90)\/((-6)\/9). Let g = 8 + -7.4. Which is the biggest value? (a) r (b) -1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10*2\/(-18) + (-418)\/1881\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 8*r - 180. Suppose 633 = 9*l + r. What are the prime factors of l?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-15870)\/120)\/((-1)\/8). Let l = x + -1058. Factor -8\/3 + l*s - 2\/3*s**3 + 2*s**2.\nAnswer: -2*(s - 2)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1638 and 62322.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1*1 + 3\/9. Which is the nearest to r? (a) 4 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.05 - -0.35. Let u = 0.6 + 0.4. Let g = u + -0.7. What is the smallest value in 4\/3, g, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -1\/7 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = 50 - 56 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**4\/24 + 19*d**3\/6 - 8*d**2. Let r be j(17). Let z be 1\/r - 44\/40. Which is the biggest value? (a) 18 (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 2*k + 1. Let t(s) = s**2 + 6*s - 1. Let x be t(-6). Let u be (6 - 1)*4\/10. Let r = x + u. Give v(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 45 = r - 110, -r + 2*j = -155. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-12 - -4 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 3:00 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5055191465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 45 = 4*b, -3*b - 15 = -2*b + 4*n. Let j(s) = -s**2 - 13*s - 4. Let u be j(b). What is the greatest common factor of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/126 + (-4)\/(-14). Let h = -100169 + 100168.9. Which is the closest to h? (a) -20 (b) i (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (-9 + 77 + 20 - -26)) + -11 + 1.\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06999993 + 0.07. Round n to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -134553328 or -1?\nAnswer: -134553328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.2 (b) -5 (c) 13 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*c + 27*c = -385. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0872587 times -2?\nAnswer: 0.1745174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-1 + 4) + -2. Let v be j\/8 + 645\/20. Suppose 3*d - v = 10. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 4 = -4*r. Suppose 3*x - x = r. Let o(c) = c**2 - 18*c - 23. Let q be o(19). Sort 0, x, q in decreasing order.\nAnswer: x, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -198.8 - -199. Which is the third smallest value? (a) -17 (b) r (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7957, -1, 10041 in decreasing order.\nAnswer: 10041, -1, -5, -7957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6741*t*w**5 - 14*t - 2*w + 218 wrt w.\nAnswer: -134820*t*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6639027116 and 0.3.\nAnswer: -6639027115.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 248468, 496934, 745400, 993866?\nAnswer: 1242332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2297358830.\nAnswer: 2, 5, 13, 29, 609379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 24*k**2 - 49*k + 30. Let t(g) = 2*g**3 - 23*g**2 - 48*g + 29. Let y(d) = 3*s(d) - 2*t(d). What is the units digit of y(-24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 17*w**2 + 38*w + 3. Determine i(4).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 2*y. Let u = 4 - y. Suppose d = 4*b + 25, -u*d + 0*b = 2*b - 10. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/1615 + 504184\/12920?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 67 = -2078. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 87.2. Let l = 6.9 + a. What is the closest to -3 in -4\/5, l, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 x when four letters picked without replacement from {x: 6, o: 6, j: 3}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 522298125.\nAnswer: 3, 5, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3959*h**3 - 3119*h**3 - 5238*h**3 - 6295*h**3 - 15668*h**3.\nAnswer: -26361*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -78924 less than -70690783?\nAnswer: -70611859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.601758 litres to millilitres.\nAnswer: 3601.758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -31*f. Let j be z(-3). Suppose -28 = 5*s - j. Let d = -4 + s. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(1\/18)\/f*f)\/f**(9\/7))\/((f*f**(-2\/35))\/((f*f**12)\/f)))**(5\/3) assuming f is positive.\nAnswer: f**(6191\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*y + 2*y**3 - 1102*y + 208*y - 2166*y.\nAnswer: 2*y**3 - 2869*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116474 is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 23*p + 122. Let g be c(-5). Suppose 0*r - 4 = -r. Find the second derivative of -10*w**5 + w**5 + g*w**4 - r*w - 32*w**4 wrt w.\nAnswer: -180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-1)*((-117)\/(-715))\/(54\/45)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.118394 and 0.91.\nAnswer: 0.791606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -8*m - 1. Let r be l(-4). Let y = 8 - r. Let h = y + 70. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 - 139. Suppose h = -2*z - 6 + 30. Let c = 221 - 137. What is the greatest common divisor of z and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1531 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 0)*((3 - 3 + 2)*(0 + 0 + 1) + 8 - 4 + 0 + (-4 + 5 + 0)*(0 - 2 + 1))*(3*l + 2*l - 4*l) to the form t + v*l and give v.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 10*z**3 - z**2 - z + 1. Let r be t(1). Let l be (3\/r)\/(2\/6). Let i be 0 - (3*-2 - -1). Put l, -1, i in decreasing order.\nAnswer: i, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 243026171 to the nearest integer?\nAnswer: 624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15715 + -15251. Calculate the greatest common divisor of 56 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 3*k**2 - 21*k + 18. Let t be n(6). Suppose -5*o + 650 = -5*p, t*o + o - 3*p - 122 = 0. Is o a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 5*g. Let t be n(5). Suppose -4*d + t*w = -4*w - 48, 10 = -2*w. Let o(u) = -u + 8. Let i be o(d). Solve j = 2*j - i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000010120 (base 3) to base 2\nAnswer: 100110101000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -2*d + 300. What are the prime factors of d?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 137541435*f - 231221117 wrt f?\nAnswer: 137541435","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 10 = 11*m - 6*m, -k = k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*b - 304, -b - 5*a = -0*a - 126. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 p when two letters picked without replacement from {f: 9, a: 4, p: 6}?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 243469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.2 (b) 204386 (c) 0.5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -585*z**3 + 52*z**2 - 11*z wrt z.\nAnswer: -3510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 170.52 < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11004414223 + 0?\nAnswer: -11004414223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from kapxnkkkanaankn.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 40 - 176 = -6*u + 6*h, 90 = 2*u + 82*h for u.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0113, -3125\/3, -2.2 in increasing order.\nAnswer: -3125\/3, -2.2, 0.0113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3391536 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: Is 17294 bigger than 17273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1875 + 17?\nAnswer: -185b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/5))**(-2\/49)\/(n**(-1\/6)\/((n\/n**5)\/n))*(n*n*n**(-1)*n)**44\/(n**5*n**(4\/3)) assuming n is positive.\nAnswer: n**(112969\/1470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 193500 and 4737740?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 66. Let w(v) = v - 22. What is 3*g(s) + 8*w(s)?\nAnswer: -s + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -10*k - 138. Let p be s(-14). Calculate the highest common divisor of p and 122.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17988 by -1499.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:49 PM and 5:00 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 42*f + 20. What is l(21)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, g: 1, w: 2, q: 1, i: 1}. What is prob of picking 1 g and 1 i?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:50 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2271646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o - 2*o - 2*o + 0*o. Let h(f) be the second derivative of f**6\/90 - f**3\/6 + f. Let x(b) be the second derivative of h(b). Calculate m(x(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5 - 5*o**4 - 3*o**3 + 17*o**2 - 10*o.\nAnswer: o*(o - 5)*(o - 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 - 5*v - 5. Let d be f(-5). Let i = 154 + -157. Put d, -1, 1, i in descending order.\nAnswer: 1, -1, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-12)*t*t*t\/t**7*t)\/(t\/(t**(-2\/13)*t))**(-9) assuming t is positive.\nAnswer: t**(-151\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 6*h**2 + 24*h - 30. Let u be 9\/(90\/(-20)) - 2*-2. Let m(v) = 5*v**2 + 25*v - 30. Let b(x) = u*r(x) - 3*m(x). Factor b(w).\nAnswer: -3*(w - 1)*(w + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -10. Solve 4*u = -8, -s*q + 5 + 1 = -4*u for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 20*z**2 - 2. Let q be w(2). Suppose 0 = a + f + 39, 3*a + 2*f + 2*f = -115. Let h = q + a. Calculate the common denominator of -20\/3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v - 1. Let n(t) = 5*t - 3. Let l be (-58)\/29*(-2 - (-6)\/4). Determine l*q(j) - n(j).\nAnswer: -4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-2) - (5 + -2). What is the remainder when 58 is divided by 8*(-4 - (-12)\/8)*a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 4*g - 20. Suppose 0 = y + k + k + 6, 10 = -g*y - 5*k. Suppose 4*i - 92 = -4*h, 3*h + h - y*i - 62 = 0. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 386 = 5*k - 85, -2*c = 3*k + 202. Let g = -104 - c. Solve g*u - 4*i = -24, -2*u - 2*i = -7*i + 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from tdhzyph?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 72.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/7)\/(f\/(f\/(f**6*f))))**(-5\/7) assuming f is positive.\nAnswer: f**(240\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*d = 544, 5*p - 571*d - 2605 = -568*d. Calculate the highest common factor of 12 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 59e2b5?\nAnswer: -59e2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 556 = t + 5*v, 8*t - 3*v + 566 = 9*t. Let h = -5222\/9 + t. Factor -h*f**3 + 4\/9 + 4\/3*f - f**2.\nAnswer: -(f - 1)*(f + 2)*(7*f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -y - 2*y. Suppose 0 = 5*c - 4*x - 29, -233*x = c - 234*x - 7. Sort -1, y, c in ascending order.\nAnswer: -1, c, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**2 - 20*j + 22. Let w(r) = -8*r**2 - 38*r + 46. Let m(f) = -5*p(f) + 3*w(f). Calculate m(8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 841575 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2190 + -12 + 8\/2. Let w = n - -6662\/3. Calculate the common denominator of 2\/(-9) + 930\/297 and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2276, 5, 5\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -26111.67 rounded to the nearest one thousand?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 3300?\nAnswer: -3303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 3*v - v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*1\/27*2. Let k = 0.03 + 0.97. Which is the second biggest value? (a) -0.3 (b) y (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/a**1)*a)**(-7\/4)*a**10*a\/a**(-6))**(13\/7) assuming a is positive.\nAnswer: a**(793\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 21*r + 3 + 173*r - 8 - 27*r. List the prime factors of y(2).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbi when three letters picked without replacement from {i: 1, b: 7}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uiiiifiiuifiuiifii. What is prob of sequence iuf?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 382.8492ml in litres?\nAnswer: 0.3828492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8135, 16267, 24399, 32531?\nAnswer: 40663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 128\/80 + (-2)\/(-5). Differentiate -2*h**2 + r*h**2 + h**4 - 6 + 0*h**2 wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 7*l + 18. Let i(b) = 2*b**2 + 15*b + 35. Let t(f) = -3*i(f) + 5*w(f). Suppose -3*h - 18 = 2*k + 20, 14 = -h - k. Give t(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -374*y - 751. Let q(r) = -75*r - 2. Determine 5*q(c) - z(c).\nAnswer: -c + 741","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 + 4 - 31)*(-2*i**2 + 2*i**2 - 3*i**3).\nAnswer: 162*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.89 - -0.929. Let i = 0.053 - t. Let d = i - -0.186. Sort -0.06, -3\/5, -2, d.\nAnswer: -2, -3\/5, -0.06, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 55*z - 27. Does 19 divide (418\/z)\/(6\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 155811869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35b95 + -57?\nAnswer: -36030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 o when two letters picked without replacement from {e: 1, h: 6, n: 3, o: 9}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**2 - 39*l. Let n be m(13). Let i(r) be the second derivative of -7\/3*r**4 + 49\/20*r**5 + 0 - 2*r + 2\/3*r**3 + n*r**2. Factor i(x).\nAnswer: x*(7*x - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 37*u - 177. Let s be k(5). Let q(t) = -t**3 + 12*t**2 - 24*t + 112. Let y be q(s). What is the greatest common divisor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941680 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x. Let i(k) = k**2 + 5*k. Calculate w(i(r)).\nAnswer: 3*r**2 + 15*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76544 + 573324 = i + 3*n, 0 = -5*i + 5*n + 3249440. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -152 + 222. Suppose -40*j + y = -35*j. Calculate the lowest common multiple of 214\/14 + (-4)\/j*1 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p**2 + p**2 - 3*p**2 - 88*p**3.\nAnswer: -88*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 + (29 - 8) - (15 - -1 - -4).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - 2172 = 268. What are the prime factors of r?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**2 + 19*b - 2. Let s be d(13). Let u = s - -96. Calculate the least common multiple of 11 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b - 18 = 24 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m - 7. Let o = 249 + -485. Let g = 240 + o. Let b(s) = -s + 2. Determine g*l(t) + 14*b(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:39 PM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 9:10 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 39816918 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -229217651880.9 from -5.\nAnswer: 229217651875.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**5\/20 - 5*y**4\/12 - 2*y**3\/3 - 3*y**2 + 2*y. What are the prime factors of n(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -1\/6 (b) -2145 (c) 0.038 (d) 5 (e) 0.3 (f) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**14*(x*x*x**(1\/3)*x*x)**(9\/2)*((x\/(x\/(((x**(2\/3)*x)\/x*x)\/x)*x))**(3\/19))**28 assuming x is positive.\nAnswer: x**(1523\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 23*y + y**2 + 87*y**3 - 27*y - 2*y**2 + 10. List the prime factors of p(2).\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.65 - -13.65. Let c = 14 - v. Let m = 3.06 + -0.06. Sort 0.3, m, c in descending order.\nAnswer: m, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/7 - 31\/42. Let h = -1.9 + -10.1. Let d = 11.8 + h. What is the closest to d in w, -3, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 125.106 and 1.399.\nAnswer: 175.023294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/17)\/b**10)\/(b\/(b\/b**(2\/89))*b\/b**(1\/49)) assuming b is positive.\nAnswer: b**(-798216\/74137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4242794 divided by -10126\nAnswer: -419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 3*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*u**3 + 2*u**2 + 12*u**3 + 45*u**3 - 4*u**2 as y*u + r + h*u**2 + v*u**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8b0 - -1484?\nAnswer: 1d54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/264 and -97\/32.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z = -13*z - 103246. Suppose 17*b - z = 3178. Does 15 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 8*b**2. Let p(t) = 15354*t**2. Calculate p(d(h)).\nAnswer: 982656*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 7*i + 3 = -3*f, 5*f + 34 = -3*i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -9. Let k = 1 - -4. Let n = g + k. Which is smaller: n or 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 1, 4, 5, 6 in descending order.\nAnswer: 13, 6, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 10:33 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**6\/180 - 5*l**3\/6 + 4*l**2. Let f(o) be the first derivative of r(o). Let k(d) = 3*d**2. Determine k(f(p)).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**8\/p**(3\/7) assuming p is positive.\nAnswer: p**(53\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1688 + 1690. Let -14\/3*m - 2\/3 - 6*m**3 - 10*m**y = 0. What is m?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -1\/120*c**6 - 1\/12*c**4 - 4\/3*c**3 + 28 + 0*c**2 - 1\/60*c**5 + 0*c. Let k(f) be the third derivative of p(f). Give k(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -243.079\nAnswer: 243.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31686, -63371, -95056?\nAnswer: -126741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5790948 to the power of 1\/2, to the nearest integer?\nAnswer: 2406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6321125l in millilitres?\nAnswer: 632.1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2)\/(-7 + 3 + -3). Sort i, 5, 4 in decreasing order.\nAnswer: 5, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 1976*p + 342*p - 45 + 86 as b*p + a and give b.\nAnswer: -1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2458, -4805, -6942, -8761, -10154, -11013, -11230, -10697?\n\"Answer: 18*a**3 - 3*a**2 - 2464*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -251*d - 280. Let c(p) = p - 5. Let m(g) = -5*c(g) + i(g). Differentiate m(k) wrt k.\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/4))**45\/(d**(2\/3))**(-2\/7) assuming d is positive.\nAnswer: d**(-929\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/42*(-425 + -43 + 24)\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n + 68. Let m = n - 21. Calculate the remainder when m is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -4*i - 2. Determine q(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/1170 and 56\/303411?\nAnswer: 118330290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 33. Put q, 0.4, 5, -1 in increasing order.\nAnswer: -1, 0.4, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1053 is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 2. Let o be h(2). Suppose o*f + 2*f = 0. Suppose -q - 36 = -4*a, 45 = 5*a - f*a - 4*q. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/54 and 65\/48?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/8 + -1*38\/(-8). Suppose -4*x + 21 = w, 3*w + y*x - 35 = -0*w. Suppose -w*n + 5 = -95. Calculate the smallest common multiple of 24 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48 - (-840)\/(-18))\/((12\/(-30))\/((-30)\/(-425))).\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*m**3 + 7 + 2*m**4 - 2*m**3 - 9 + m**2 to the form l*m**3 + j + h*m + i*m**4 + p*m**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12954449*k**2*w + 2*k**2 - 153439607*k*w wrt k.\nAnswer: -25908898*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*q + 15*q = 146. What is the nearest to 2 in -52\/3, q, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/5, 1.53, 3\/20, -4, -0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -1 + (14 - (-1 - -17))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u**2 - 76*u**4 - 4*u + 77*u**4 - 1 + 3*u as y*u**4 + q*u + b*u**2 + o*u**3 + t and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-225)\/10)\/((-6)\/(-8)*-1) is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 772 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -l + 3, 0 = -5*l - 2*g + 8 - 7. Which is the closest to l? (a) 18 (b) 5 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvhvxhvvhhvvvhvh. What is prob of sequence hvvx?\nAnswer: 11\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 PM and 6:00 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3162636, -6325273, -9487910, -12650547, -15813184?\nAnswer: -18975821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 12:07 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -9.3?\nAnswer: -0.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44 + -29. Let p be (-10)\/n*(-3 - 0). Solve 0 = -5*s - 0*o - p*o + 21, -15 = -3*s - 2*o for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 + 2*z - 27*z**3 + 0*z - 9 + 10 to the form f*z**3 + w*z**2 + d*z + i and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42 + 13211?\nAnswer: 13125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Suppose 5*g + 4*r = g + 168, 0 = -l*g + 4*r + 184. What is the highest common divisor of 110 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f**3 + 5 - 523*f**4 + 526*f**4 - 5 + 6*f**2 = 0. Calculate f.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 + 50. Put -4, l, 0, -5 in increasing order.\nAnswer: -5, -4, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 7:55 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 98.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*c + 454 + 196 = 0, -c = -2. Let n = -554 - v. Calculate the remainder when 243 is divided by n.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bebbetbtbbbbbtbeetb. What is prob of picking 1 b and 1 t?\nAnswer: 44\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 4:02 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1560*v + 1217*v + 348*v.\nAnswer: 5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 <= 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 778 is divided by 372.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 437444593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 - 45. Suppose -2*j = 4*y - 100, -v*j + 4*y = -0*y - 180. What is the highest common factor of 60 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + 30*i**2 + 3*i + 372. What is a(-30)?\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j - 112 = 0. Let d = -68 - j. Let h be (2\/(-4))\/(2\/d). What is the highest common factor of h and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3870 and 120.\nAnswer: 15480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 22233 to the power of 1\/2, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/10)\/(1\/6). Let j be (-30)\/k*(-48)\/(-40). Solve -r - 6 = -j*i, i + 6 = 4*r - 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -326*u + 42. Let p(r) = r - 4. What is 12*p(l) + y(l)?\nAnswer: -314*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 71 (base 16) to base 14\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40719 is divided by 8401?\nAnswer: 7115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q - 5. Suppose -70 = 16*w - 6*w. Determine v(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7695 - 2857. What is c rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 21*b**2 - 19*b + 50. What is the hundreds digit of t(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2042 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*v + v - 246, 2*r + 316 = 4*v. Suppose 448*o - 891*o = -463*o + 280. What is the lowest common multiple of o and v?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.6 + -16.6. What is the third biggest value in 0, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 1955149876?\nAnswer: -1955149865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-48)\/84)\/2 + 1866\/14. Solve -l*m = -118*m - 60 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.021 + 0.021. Suppose -x + 4 = -0*x. Suppose -6 - 2 = x*v. Sort -1\/7, 0.1, m, v in decreasing order.\nAnswer: 0.1, -1\/7, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4)*l*(l\/l**(-6))\/l*l**(-1\/6)\/l**(-3\/7))\/(l*l\/(l\/(l*l*l\/l**(3\/8)))*l\/(l**(4\/7)*l)*(l\/(l\/((l*l*l*l**0)\/l)))**30) assuming l is positive.\nAnswer: l**(-1219\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g**2 - 6*g + 7. Let p(c) = 6*c**2 - 17*c + 21. Let q(v) = 6*p(v) - 17*s(v). Differentiate q(o) wrt o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -y**5\/4 + y**4\/4 + 2*y**3 + y**2 - 8*y. Let m(b) = -b**3. Let r(d) = 4*m(d) - u(d). What is the units digit of r(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 331885, 332673, 333457, 334237, 335013?\n\"Answer: -2*x**2 + 794*x + 331093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -31. Is c bigger than 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1015 - -1027. Suppose 22*u - 21*u = 4. Suppose -n - u*n + 15 = 0. What is the highest common divisor of g and n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 o, and 1 g when three letters picked without replacement from uiijguho?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16200384 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: Find t, given that -t**3\/2 - 69*t**2\/2 - 1539*t\/2 - 10935\/2 = 0.\nAnswer: -27, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -313434 - 44142?\nAnswer: -413131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249835470.\nAnswer: 2, 3, 5, 37, 225077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 765 = -10*u. Let m be 12*((-42)\/u + 1)*5. Solve -m = -2*h - 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005218836 to 7 decimal places.\nAnswer: -0.0000522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**3 - 4*k**2 - 4*k + 7. Let v be g(4). Suppose 4*i - v = 157. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-20)\/(-100))\/(1\/113185) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1 + 144)*-1)\/(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 942705*q - 67874755. What is r(72)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + q - 5*j + 40 = 0, -3*q + 2*j - 22 = 0. Suppose -3*o + 8 + 1 = 0. Let r(c) = -o + 2 - 3 + 4*c + 7*c**2 + 0*c**3 + c**3. Determine r(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 3. Let m = 2 + p. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 5*m**4\/6 + m**3 + 387*m. Let s(c) = 2*c**2. Determine s(r(w)).\nAnswer: 200*w**4 + 240*w**3 + 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/7 (b) 1.91 (c) 304 (d) 5\/2 (e) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-104108)\/(-66))\/((-12)\/(-9)). Let k = f - 1184. Find the common denominator of k and -55\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - p - 3*p + 2 = 0, 0 = 3*f - p + 9. Let q be f\/12 + (-38)\/(-12). Let m be -3 - (q - (31 + -1)). What is the greatest common divisor of m and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1598?\nAnswer: 2, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (50549 + 47245 - 76382)*(-4*x**3 - 2*x**3 + 5*x**3) in the form i + a*x**2 + f*x**3 + d*x and give f.\nAnswer: -21412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-9 - (-16 - -13))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 5 (c) 3\/4 (d) -1\/3 (e) -4 (f) 2 (g) -4.851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (163 + -78 - 29) + -63.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of -17*y**4\/4 + y**2\/2 - 113*y + 56. What is the second derivative of z(c) wrt c?\nAnswer: -102*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 701.0010112 + -701. What is o rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -2, -4, -0.2, 5\/21, 0.9 in decreasing order.\nAnswer: 0.9, 5\/21, -0.2, -2, -4, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001011101011 (base 2) to base 15.\nAnswer: 167d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*o - 1771, -4*o = -2*o - 4*b - 1194. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/217824 and -17\/72.\nAnswer: 653472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 + 63. What is the remainder when 115 is divided by r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2 (b) 317 (c) 0.3 (d) 4 (e) -28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2730 and 8955?\nAnswer: 1629810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64\/185 - 2\/37. Let n = 56.969 - 57. Let c = 0.431 + n. What is the second smallest value in c, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + j**2 + 2*j - 1. Let o(x) = 3*x**3 - 1235*x**2 - 2*x + 1. What is -o(l) - t(l)?\nAnswer: -l**3 + 1234*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 4 = -y + q, 0 = -4*y + 3*q + 17. Suppose 5*h = 2*h + 126. Suppose -y*t + p = -0*p - h, 0 = 3*t - 2*p - 21. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-10 - -2) - (-45 + 68)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 44355 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -298 + 147 + 2*b + 2*b**3 - 19*b**2 + 150 as h + z*b + u*b**3 + d*b**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -3*v + 3. Let h be q(3). Suppose -z + 4*k - 26 = -3*z, 0 = -5*k + 15. Suppose 4*f + 4 = -4*r, -3*r + z + 15 = -2*f. Put h, r, -1 in ascending order.\nAnswer: h, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/((3 - 0)\/171). Let v = n - -358. Does 45 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45900 = 13*f - 9*f - 4*l, 4*f = 5*l + 45905. What are the prime factors of f?\nAnswer: 2, 5, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(3*o - 4*o + 0*o)*(0*o - 3*o - 3*o) + (0*o**2 + 3*o**2 - 5*o**2)*(1 - 5 + 3) + o**2 - 2*o**2 + 2*o**2.\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2563 divide 4333035?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 r when two letters picked without replacement from opaaaataaoartap?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -2\/11*a**4 - 104\/11*a**3 - 98\/11 - 300\/11*a**2 - 296\/11*a = 0?\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 35087 and -0.4.\nAnswer: 35086.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.03806 rounded to 2 dps?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -623227 (base 10) to base 5.\nAnswer: -124420402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9675, 38557, 86691, 154077, 240715?\n\"Answer: 9626*x**2 + 4*x + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 4:29 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98077 is divided by 4879.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12022350959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 + 106. Suppose -4*k + 3*u = -n*k - 5, 5*k + 3*u = -14. Find the common denominator of k - 6\/(-30) - (-1054)\/1280 and 123\/20.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -67, -99, -149, -223, -327, -467, -649?\nAnswer: -879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16487994 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*l**6 - 403971*l**3 - 4*l**2 - l - 110173.\nAnswer: -1320*l**3 - 2423826","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.02, -5, -77, -1\/2 in descending order.\nAnswer: 5, 0.02, -1\/2, -5, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -11*a - 13. Suppose -c - 2 = -p, -7*c + 4 = -4*p - 5*c. Determine x(p).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6229115811.\nAnswer: 3, 53, 331, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 7.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 1:00 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -10032?\nAnswer: -10101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1085 - 601. Let r = h + -316. What is the greatest common factor of 35 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1\/4, -3\/16, -0.6 in ascending order.\nAnswer: -2, -0.6, -3\/16, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -59.156 take away 1.8?\nAnswer: -60.956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 79759 rounded to the nearest 1000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6a - -26a9?\nAnswer: 2746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3979 and -122.78?\nAnswer: 123.1779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, -350, 4, -5 in increasing order.\nAnswer: -350, -5, 1, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07047 rounded to 3 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1810*p = 21595 + 27334 + 21121 - 8510 for p.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1*12))\/((-69)\/(-184)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 3*l**5\/5 + 171*l**4\/4 - 3*l**3 - 519*l**2\/2 - 342*l + 2781. Find m, given that w(m) = 0.\nAnswer: -57, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.367 + -24.361. Let a = -0.033 - 13.967. Let o = a - q. What is o rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -11 in increasing order.\nAnswer: -11, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26895*i**4 + 70900*i.\nAnswer: -322740*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33353 at least as big as 33347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**5\/150 + 401*c**4\/10 - 482403*c**3\/5 + 1089*c**2 - 4. Factor p(t).\nAnswer: -2*(t - 1203)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3901*b*f**3 + 3*b*f**2 + 57*b*f + 825*b - 94*f**3 + 3*f**2 wrt f?\nAnswer: -23406*b - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06302 minus -7628?\nAnswer: 7628.06302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 + (-48)\/(-20). Let l(u) = h*u - 4 + u - u + 6. Let v(o) = -3*o + 17. Let f(b) = -b + 6. Let k(m) = 17*f(m) - 6*v(m). Determine 3*k(c) - l(c).\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(21\/(-2))*(31 - (-15640)\/(-400))\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.7065204 to zero dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*h + 21*h + 16. Let p be -3*8\/(-42) - 1. Put -1\/4, h, p in ascending order.\nAnswer: h, p, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 238 - 1669\/7. Let h = w + 13\/14. Which is the closest to -2\/7? (a) -3 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x + 3*n, -8*n + 4 = 4*x - 9*n. Suppose 9195 + 459 = x*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 823 divided by 146\nAnswer: 823\/146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 3, 2, -2 in increasing order.\nAnswer: -2, 2, 3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 63.5508 millilitres?\nAnswer: 0.0635508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1351.054 millilitres?\nAnswer: 1.351054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 6398 = d + 8*v, 3*v = -5*d + 31990. What are the prime factors of d?\nAnswer: 2, 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 5 + 1)*(-2*x - 1 + 1) + x + 0*x - 2*x)*(-10*x + 48*x - 13*x).\nAnswer: 25*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44 - (0 - -1)*2. Suppose -o = 5*f - 117. Suppose 0*v**4 + 5*v + 6*v**2 + 4 - f*v + 2*v**3 - 2*v**4 = 0. Calculate v.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9427 from 477.\nAnswer: -8950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 2*p + 2*p = 152, 1284298*s + 4*p = 1284307*s + 208 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8949 and 930183?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 75252048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 86, -5, -3, 50, 2?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.58 less than 0.37?\nAnswer: -4.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 59*u - 1460 = -85*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -350, -879, -1766, -3011, -4614, -6575?\nAnswer: -8894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 890 and 760.\nAnswer: 67640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y + 1. Suppose 0 = -4*r + 7*r. Suppose o + 7 - 1 = r. Let q = o + 12. Let a(h) = 11*h + 6. Calculate q*a(x) - 34*k(x).\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-1 - 24\/(-21)). Let s = 10 + g. Solve -s = 3*w - 6*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121022 (base 3) to base 15.\nAnswer: 1e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4684, 4683, 4680, 4675?\n\"Answer: -c**2 + 2*c + 4683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 153\/(-9))*68\/51.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1565585 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1247542407 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201836016.9928025634 + 0.0071974366. Let r = f - 201836011.99999995. Let u = -5 + r. Round u to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -43*k + 235. Let n(c) = -c**3 + 6*c**2 - 4*c + 5. Calculate n(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4445603 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3472618 at most 3472574?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 s, and 2 z when four letters picked without replacement from hhhghghzshzhhgghhhg?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-3\/5)*j*j*j*(j**(-1)*j)\/j)**(4\/7))**21)**(-13) assuming j is positive.\nAnswer: j**(-1092\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 945 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -5*a**5 + 2110*a**4 - 43985*a**3 - 6320*a**2 + 127780*a + 88000 = 0.\nAnswer: -1, 2, 22, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1438, -1268, -796, 134, 1678, 3992?\nAnswer: 7232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a centimeter in micrometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, -5, -0.09, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 110*d**3 + 2*d**2 - d. Let h be l(1). Let i be h\/(-2)*8\/(-6) - 2. Calculate the highest common factor of 360 and i.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87177 is divided by 7925?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 237529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 33, -6, 2, -1106 in ascending order.\nAnswer: -1106, -6, -5, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 10:06 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(1 + sqrt(17)) - -3*2*sqrt(17))*1.\nAnswer: -1 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11058, -11056, -11054, -11052?\n\"Answer: 2*o - 11060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 31, 29, 29, 31, 35, 41?\n\"Answer: s**2 - 5*s + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -50*p**2 + 3*p. Let n be l(-2). Let w = 213 + n. What is the remainder when 57 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: (256\/576)\/((-3)\/27*-34)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1100)*3 + 4*sqrt(11) + -3.\nAnswer: -6 + 34*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1 + (sqrt(77) + (-5*sqrt(77)*2 - sqrt(77)) + sqrt(77))\/(sqrt(11)*-1*1))**2 + 0.\nAnswer: 54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 9 = -g, 2*g = 3*p - 18720. Suppose -p - 3852 = -2*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2088 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641 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: Let n(h) be the third derivative of h**5\/60 + h**4\/4 + 2*h**3\/3 - 2*h**2. Is n(-6) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.11 from -6449046.\nAnswer: -6449043.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003523373312 rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 715044*q + 715048.\nAnswer: -4*(q - 1)*(q + 178762)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-6))\/(-1)*120. Suppose 3*i = -2*i + a. Let t be 0 + -1 - -1 - 0. Solve -i = 3*u - t for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 1226 - 874 = 0. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/356 - -15305\/1068. Find the common denominator of -5\/3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3257901 and 232388?\nAnswer: 4469","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-7)\/(-7)*-2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3048558 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: Sum -0.705117126220788 and 0.1.\nAnswer: -0.605117126220788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 112818 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + (-16 - 1 - -15)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1113261427 to the nearest integer?\nAnswer: 33366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -674761\/30 - -22497. Calculate the common denominator of -83\/30 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-383 - -381) + (3 - 5 - (8 - 1))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + v + 1. Let x(z) = 17*z - z**2 + 0*z**2 + 16 + 21. Let q be x(19). Determine d(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/7)\/(4\/(-21*6\/36))\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 591*b**2 - 337*b**2 - 255*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*u**3 + u**3 + 3*u**3)*(-1441 - 76 - 484) to g + i*u + p*u**3 + o*u**2 and give p.\nAnswer: -2001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/1031404 and 29\/88?\nAnswer: 2062808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from poosokp. What is prob of sequence spp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of y**5\/20 + 3*y**4\/4 - 5*y**3\/3 - 3*y**2 + 3627*y. Suppose 0*a = -3*a - 30. Calculate w(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1493 + -1498 - (7 - (0 + 1 + 1)) - 17?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/3 + 191*z**2\/2 - 4*z. Is r(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -0.1 (b) 2 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2 - 26\/4. Let r(c) = c**3 + 7*c**2 + 6*c + 3. Let h be r(g). Suppose -225 - 102 = -h*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(-1\/3))**(-19))**(-5\/11))**(-2))**(-6) assuming d is positive.\nAnswer: d**(-380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45335 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7028.061 meters to nanometers.\nAnswer: 7028061000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8722*a + 3*a**2 + 2*a**2 - 8722*a.\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.03212 and -117227216.\nAnswer: -117227215.96788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/10 + 57*p**4\/10 + 973*p**3\/10 + 4647*p**2\/10 - 739*p\/5 - 2436 = 0.\nAnswer: -29, -20, -7, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1255.790592217 and 7.\nAnswer: 1262.790592217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93462?\nAnswer: 2, 3, 37, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -5*y - 9. Suppose -5*h + 49 = y*u - 173, -2*h + 296 = 4*u. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 26 - (-1745 + 1718)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4925, 9861, 14819, 19799, 24801, 29825?\n\"Answer: 11*f**2 + 4903*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3761357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 6*a - 2. Let j(s) = -s + 1. Let b be (-6)\/(-6) + (2 - -2). Suppose -348 = b*i - 358. What is i*j(o) + l(o)?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 0.09, -2\/17, 29 in increasing order.\nAnswer: -2\/17, -1\/10, 0.09, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7\/8 - 147\/40. Do -3 and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - (-1 + 0 + -116). Suppose -4*i = -i - j. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15367261?\nAnswer: 7, 13, 47, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -171748, -171736, -171724, -171712?\n\"Answer: 12*f - 171760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 16 + 4 = -4*q, 4*q - 12 = 5*n. Let b = 9 - n. Let v be 2*(-2 - -4)*b. Calculate the highest common factor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1071, 1080, 1095, 1116, 1143, 1176?\n\"Answer: 3*g**2 + 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2192327 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180184 = -5*n + 5*j - 10144, -4*j = 4*n - 135992. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132700151?\nAnswer: 83, 257, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1182 less than -1182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/18)\/(6\/(-102))*(2*-9)\/6.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 15, b + 15 = -3*a + 1. Let u be 3 + -4 + 10\/14. What is the third biggest value in u, -15, b?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/(-81)*-2 - 4\/(-18). Let j(h) be the second derivative of 0*h**3 - 1\/6*h**4 + 0*h**2 + b + 1\/5*h**5 - 5*h. Find the third derivative of j(y) wrt y.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66573715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4994 = 2*b, 6*b - 3176 - 11833 = 3*t. Which is smaller: 2502 or b?\nAnswer: 2502","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3) + -3*(sqrt(12)\/sqrt(4) - sqrt(3))) + 2.\nAnswer: 2 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 151 * -156.\nAnswer: -23556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27 and -0.3.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 706266 is divided by 21401?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 13*w - 30*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*t = 5 - 20 + 29, -5*t = 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38*l**2*p*r**2 - 305*l**2*p - 3*l**2*r**2 + 18302*r**2 wrt p.\nAnswer: -38*l**2*r**2 - 305*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2. Let x(k) = 6*k**2 - k - 2. Let b = 32 + -2. Suppose 0*q + b = 2*q. Let o(y) = q*f(y) + 3*x(y). Factor o(c).\nAnswer: 3*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17379 is divided by 164.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.003, 3470, -3, -5, -0.1 in increasing order.\nAnswer: -5, -3, -2, -0.1, -0.003, 3470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*m**3*v**3 - 2*m**3 - 10*m*v**2 - m + v**3 + 288*v wrt v.\nAnswer: -54*m**3*v - 20*m + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 173200136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -20968 and -566164\/27 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27112 is divided by 7763?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2\/19, 2\/15, -5, -2?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 76*l - 412. Determine b(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*k + 388. Let h(i) = -6*i**2. Let n be h(-3). Let p = k + n. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.0286 centimeters in millimeters?\nAnswer: 890.286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1453 in -3, 0.2, 20.7?\nAnswer: 20.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3 + 9672*k**2 + 23377221*k - 46793138.\nAnswer: (k - 2)*(k + 4837)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210 - (246 + -61) - (3 + -1 + -2 + -4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 1. Let i(h) = -35*h - 4. What is -i(g) - 5*v(g)?\nAnswer: 35*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millimeter in micrometers?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*x - 65 = -40*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 246 - 283. Let w = k - -36.8. Sort w, -5\/4, -3 in descending order.\nAnswer: w, -5\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1971?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2031d1 (base 15) in base 7?\nAnswer: 15666406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3859, -3274, -2307, -958?\n\"Answer: 191*w**2 + 12*w - 4062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24238 divided by -1\nAnswer: 24238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 11}. Give prob of picking 3 e.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 10*c**2 + 18*c**2 - 5 to the form h + w*c**2 + z*c and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 12) to base 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 536*0.1.\nAnswer: 53.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -42*g**3 - 2*g**2 + 3*g + 4. What is the remainder when p(-1) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(15\/4)*g**(-12))\/(g**(-6))**(-50))**27 assuming g is positive.\nAnswer: g**(-33075\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*d + 1781 = 13466 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 c, and 1 l when three letters picked without replacement from llhhllclchco.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*((sqrt(208) - (3 + (-1*sqrt(208) - sqrt(208)))) + 1 + -4).\nAnswer: -120 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6170 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*q + 58*q = m - 17, 2*m = 3*q + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*x - 183 - 38 - 265 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41.72 - -0.0274.\nAnswer: 41.7474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -6, 6, 22?\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-2250)\/390)*8\/60?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 13, -4 in increasing order.\nAnswer: -4, 2, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -343\/2145 - -1\/165. Is y >= -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 2)\/((-6)\/(-15)). Let w = 210 + -180. Let h be w\/(-12) + (-7)\/(-14). Which is the second smallest value? (a) -3\/2 (b) t (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2011455*f**3 - 5416250 with respect to f.\nAnswer: 6034365*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3))**8*t**(3\/11)\/t**6 assuming t is positive.\nAnswer: t**(-365\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 9499.53 and -0.1.\nAnswer: 9499.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 - -430. What are the prime factors of r?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4830, 18962, 42398, 75138?\nAnswer: 117182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101 = -44*o - 13 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 7*l. Let f(h) be the first derivative of -h**2\/2 - 57. What is d(f(r))?\nAnswer: r**2 - 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 5*r - 3*r. What is the third derivative of -48*y**2 + 8*y**5 + 18*y**2 + r*y**2 wrt y?\nAnswer: 480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862761.\nAnswer: 3, 31, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1591.9?\nAnswer: 795.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**3 + 3*f**2 - 10*f - 4. Let k(t) = 2*t**3 - 2*t**2 + 9*t + 3. Determine -2*g(w) - 3*k(w).\nAnswer: -2*w**3 - 7*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ybyyjjwywywyjy. Give prob of sequence bjy.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*m = 712, -z - 5 = m - 141. Suppose 5*y - 80 = z. What are the prime factors of y?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4232*b**4 + 8464*b**4 - 3*b**2 - 15 - 3*b - 152 - 4230*b**4 to u*b**2 + h*b + t + a*b**4 + w*b**3 and give t.\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**3 + 10*f + 19*f - 29*f.\nAnswer: -13*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 18, -19, -76, -159, -274, -427?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + 1 - -12) + (-2 - (54 - 26))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -6*c**3 + 1. Let b be o(-1). Let h(z) = 8*z**2 + 4 - z + z**2 - z**3 + b*z. Is h(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 1 - -5*8\/(-20).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/2 of a litre in millilitres?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12 + 1 + (2 - 18) + (32 - 41 - -35)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -20*g - 702. Let u be r(-35). What is the nearest to u in 3\/2, 2\/7, 1, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x - 14. Suppose -5*d = -0*d + 4*s - 208, -35 = -d - 3*s. Suppose 2*h + d = 60. Give r(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -18 + 14. Suppose 6*k + v*k = 20. Solve 2*w - k = -4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 1 - (1 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 700322348?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1650169 is divided by 420.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2820262980?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/5108 (c) 4\/397 (d) -8 (e) -1\/4 (f) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-24)\/(-36) - 76\/(-12). Let d be (t - 1) + -6 - (-98 - 2). What is the greatest common divisor of 1100 and d?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40795*b**5 - 12849*b?\nAnswer: -815900*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/2048332 and 48\/1133.\nAnswer: 210978196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8188574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1 = -2*j, -3 = w + 5*j. Suppose -w*u - 4*q + 3*q - 5 = 0, 0 = -4*u + q - 19. Put u, 4, 3 in descending order.\nAnswer: 4, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 0. Let q be 2 + ((-68)\/22 - -1). Sort -4, q, o in ascending order.\nAnswer: -4, q, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4709753 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 26962 divided by 122\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1369 + 1425. Calculate the highest common factor of p and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 102 + 111 + 103 = -2*l + 296, 75 = -11*l + 3*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 161054 and 43.\nAnswer: 161097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**5\/20 - 61*g**4\/12 - g**3\/3 - 202*g**2 + g - 107. Find the second derivative of q(f) wrt f.\nAnswer: 6*f - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3164422 and 1296.\nAnswer: 1296.3164422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6267 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 413 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {k: 1, q: 1, r: 3, p: 3, g: 1, s: 2}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**5\/30 + h**4\/6 + h**3\/6 + 2*h**2. Let p be q(-3). Calculate the highest common factor of 28 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 - -14) + 3 + -1 + (-9 - 1)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 139 - 69 - 65 + 18*b + (-b + 2*b - 3*b)*(3 - 6 + 1) - 3*b + 0*b + b - 2*b + 2*b + 3*b.\nAnswer: 23*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.8 and -7.748165.\nAnswer: -91.428347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30)\/20)\/(9\/(-24)). What is the hundreds digit of d\/18 + 41615\/45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -16?\nAnswer: -98","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(sqrt(1053) + 0)*1 + -4 + (1 + sqrt(1053)*-2 - -6*-1*sqrt(1053)))**2.\nAnswer: 216*sqrt(13) + 37912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 339 and 403164903?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((4\/6)\/(5\/(-1395)))\/1. Let i = 196 + w. Solve i*b - 4*b = 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1668328*b*v**3 + 2*b*v**2 - 156*b*v + v**3 + 6*v**2 + 41*v wrt v.\nAnswer: -10009968*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50800 divided by -5080.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 50 = -2*o, 5*o = -m + 4*m + 141. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 23216.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*n - 12 + 87 - 72.\nAnswer: 47*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = x. Let t be x + -1*(-4)\/(-2). Is 5*7 - t\/(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1330956*f**4 - 2270*f**2 - 89*f wrt f.\nAnswer: 31942944*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = 2*r, 2*r - 4*c = 16 - 26. Let j(b) = -13*b - 4. Give j(r).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9052\/1567 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88858 and 4257106.\nAnswer: 46828166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -189 divided by 75?\nAnswer: -63\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**2*l - 19670646*j**2 + 3*j*x - 3345759*l*x - 4*l with respect to l.\nAnswer: 2*j**2 - 3345759*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 689, -3, -0.1 in increasing order.\nAnswer: -3, -0.1, 689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -93b92?\nAnswer: -93b8f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = 0, -3*n + k + 3*k = -200. Suppose -3*l - 3*u - 4 = -5*l, 0 = -5*l - 2*u + 48. Calculate the greatest common divisor of l and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 1. Let v be z(5). Let r = v + 7. Which is the nearest to -1? (a) -4 (b) r (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 5940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 9*y**2 - 446*y + 250. Let b be j(49). Suppose -3*w + 4*c - 5 = 0, -1 = -3*w - 3*c + 4*c. Solve -3*m + b = -w for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 317119, 317185, 317251, 317317, 317383, 317449?\nAnswer: 317515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 568.353 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 363*3*37\/102. Let u = y - 395. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*b - 17*b + 303 + 447 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**5\/2 - 16203*w**4\/2 - 48627*w**3 - 27*w**2 + 875205*w\/2 + 1312929\/2 = 0.\nAnswer: -3, 3, 16209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40 + 95. Calculate the remainder when s is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 417, 409, 395, 375?\n\"Answer: -3*y**2 + y + 419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1*(sqrt(832) + (sqrt(832) - sqrt(832)*-2 - sqrt(832))) + -5)**2 + (sqrt(832) + sqrt(832) + -1 + sqrt(832) + -5)**2*4.\nAnswer: -912*sqrt(13) + 37604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -14482202, -28964402, -43446606, -57928814, -72411026, -86893242, -101375462?\n\"Answer: -2*x**2 - 14482194*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25301344 and 8576?\nAnswer: 2144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 54 = 5*t + 181, k - 28 = 2*t. What is the greatest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(180) + sqrt(180)*-4) - sqrt(180))*2 + 0)**2 + -5*5*((-3*sqrt(180) + 5)**2 - sqrt(180)).\nAnswer: -5845 + 4650*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 219647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - j + j**2)*(5*j**2 - 5*j**2 - 2*j**3) - 3*j**2 + j**5 + 3*j**2 + (3*j**3 - 2*j**5 - 3*j**3)*(-6 + 2 + 5).\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103848360 to the power of 1\/2, to the nearest integer?\nAnswer: 33224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8313*f + 8316*f = 4 + 11. Let o(m) = 2 + 8 - 2*m - 5. What is o(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**4 - 3*v**2 + 3*v**2 + (2 + 2 - 1)*((-2*v - v + 4*v)*(-2*v**2 - v**3 + 2*v**2) + 4*v**4 - 6*v**4 + v**4 - 9*v + 9*v - 3*v**4 + v - v - v**4).\nAnswer: -17*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 11*p - 10 = 5*f + 8, -p + 3 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 3*b**4 + 5*b**3 - 3*b**2 - 4*b.\nAnswer: -b*(b - 4)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5854a + 1?\nAnswer: 5854b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -85 (base 16) to base 14\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-6)*(-6)\/231*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -840 + 2615. Calculate the remainder when y is divided by 177.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2439 is divided by 256?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -131538 or -131535?\nAnswer: -131535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1015*z**2 + 6*z + 6. Let n(c) = -689186*c**2 - 4072*c - 4072. Calculate 2036*l(s) + 3*n(s).\nAnswer: -1018*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3)\/w)**5 assuming w is positive.\nAnswer: w**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 8*h + 8. Let q be r(-8). Suppose 2*f + 13 = -u, -5*f + q*u = 4*u. Is ((-691)\/f)\/((-2)\/16*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = l - 4*n, 2*n - 5*n = -3*l + 3. Let g = l + 0. Let t be (g\/6)\/((-5)\/45). Solve -4*x + 16 = i, -x = -t*i + 4*i - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - -21 - (0 + 0 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11092514 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-10)*70*1932\/588.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 78 - 51. Suppose -w - i = -3*a - 0, 6 = -2*w. Suppose 4*o - a = 28. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = c + 4*x - 11, -14 = -3*c + x. Suppose 236 - 1086 = -c*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87482 is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -3*l**2 + 174 + 0*l**2 + 7*l**2 - 5*l**2. Let x(s) = -s - 1. Let y(j) = 10*j + 4. Let f(c) = 4*x(c) + y(c). Give f(v(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by -34.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 + 53. Let f = 12 + -29. Let l = v + f. Is l less than or equal to -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10*(-2)\/8)\/(9\/18). Suppose 0 = -3*o + 3, s*o = -38*q + 34*q + 5. Solve q*n + 4 = -4*n + 5*i, 2*i + 12 = 5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -462*k*v**3 - 2*k*v**2 + 2*k*v - 33*k + 17 wrt v?\nAnswer: -2772*k*v - 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -177893\nAnswer: -2\/177893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 29115, 58183, 87251, 116319, 145387, 174455?\n\"Answer: 29068*u + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -13. Find the second derivative of 8*z - z - z - y*z**3 wrt z.\nAnswer: -114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**5 + 1332*j**4 + 545670*j**3 + 64105232*j**2 + 370041753*j + 547803612 = 0 for j.\nAnswer: -569, -188, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khiehebk. What is prob of picking 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by -12901.\nAnswer: -99\/12901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.028 * 29329.\nAnswer: 821.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.1302\nAnswer: -0.2604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**6\/1620 - p**5\/180 + p**4\/54 - 3*p**3\/2 - 3*p**2. Let n(z) be the first derivative of s(z). Let n(v) = 0. Calculate v.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4743 and 1224?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8600823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u*u**3))\/(u*(u*u*u**(-11\/5))\/u))\/((u\/(u\/(u**(-5)*u)))\/u)**28)**(-2\/27) assuming u is positive.\nAnswer: u**(-454\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of -o**4\/4 + 5*o**3\/3 + o**2\/2 + 5*o + 150. Let b(v) = v + 1. Let r be b(4). Calculate j(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + h - 337 - 7*h**4 + 341 + 2*h**3 as r + t*h**3 + g*h**2 + w*h**4 + j*h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + 5*h**2 - 4*h. Let m be a(4). Let w(z) = z**3 + 14*z**2 - 14*z - 3. Let l be w(-15). Let p be (l + 19)*0\/((-2)\/2). Solve m = t - p - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let c(o) be the first derivative of -o**3 + 89. Give c(q(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -9*d - 32. Does 13 divide 4\/(-16) - 106\/d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 - 4*s**2)*(-7*s + 0*s + 4*s) + (-3*s**2 - 3*s**2 + 3*s**2)*(19*s + 4*s - 4*s).\nAnswer: -45*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 - 181*a + 28079. What is t(100)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - x**2 - 5*x**2 - 2*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 30*b**2 - 58*b**2 + 27*b**2 + 3*b. Let g(s) = 27*s - 2. Calculate i(g(y)).\nAnswer: -729*y**2 + 108*y - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.221 - -0.131. Let v = -0.5 - -0.7. Sort -3\/7, v, b.\nAnswer: -3\/7, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 1619*s + 12. Let l(j) = 4858*j + 33. Give 4*l(b) - 11*v(b).\nAnswer: 1623*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5892 and 24896?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27935725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/9 and (-878)\/252 + 30\/12?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9851*n**5*u - 3*n**3 + 2*n**2*u + 15*n*u + 38*n - 28*u wrt n?\nAnswer: -197020*n**3*u - 18*n + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (11 - 11) - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 n, and 1 z when three letters picked without replacement from zzenznn?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3729?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 + 0*d**2 + d**2)*((0*d + 0*d - d)*(-3 - 3 + 1) + 1 - 1 + 2*d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(588) + 6*(sqrt(588)*1 - sqrt(588)))\/((sqrt(324) + sqrt(324) + (sqrt(324)*2 - sqrt(324)))*-4).\nAnswer: -7*sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 982*q + 32409. Calculate b(-33).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103155119.\nAnswer: 53, 71, 79, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -33302?\nAnswer: 33233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 653.\nAnswer: 653.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8841\/1768 - -2038\/221. Let o be 10\/(-24)*(-21)\/2. Let p = o - v. Sort 1\/3, 4, 0.3, p in descending order.\nAnswer: 4, 1\/3, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12161*x = -12164*x + 24 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 7*l**2 + l - 5. Let u be p(7). Suppose u*s = s - 6. Let r = s + 11. Solve -r = -2*n + n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 374 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102 - -101.912. Which is greater: f or -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 20\/(-12) - -2. Let w be 27\/33 - (-4)\/22. Let f(v) = v**3 - v**2. Let x be f(-1). What is the closest to c in w, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15001 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(1*(-2 + 7\/4))\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 3*s + 2. Let l be w(-4). Let t(f) be the first derivative of -1\/2*f**2 - 12 - 4*f. Determine t(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-4 + (5 - 3) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 3*k**2 - 2*k - 4. What is the remainder when b(-3) is divided by ((-230)\/(-80))\/(9\/72)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 a factor of 53917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1537 = 9577*b - 9630*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 55*p - 237 + 17. Solve -478 + 450 = -p*z for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 15*o + 2 + 4*o**3 - 17*o as p*o + l*o**3 + z*o**2 + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 51\/(3*(-5)\/(-10)). Calculate the greatest common factor of 85 and j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10472 and 22984?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -51.549.\nAnswer: -47.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38748 is divided by 503.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 27 = 5*q - 7, -3*q = 5*r + 14. Suppose -a + 1 = -1. Let c(s) = 4 - a*s + 0 - 1. Let w(l) = -6*l + 8. What is q*w(y) + 8*c(y)?\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 48096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -117881189.3 to the nearest 1000000.\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -187051*m**5 - 15*m**3*w**3 + 3*m**2*w**3 - 2*m**2 + 2171523*m*w wrt m?\nAnswer: -11223060*m**2 - 90*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than or equal to 86\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1115 = 23*v + 1483 for v.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(-14))\/((-1)\/(-3) + -1)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/17 - 196*w\/17 - 194\/17.\nAnswer: -2*(w + 1)*(w + 97)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2289600*a**3 - 1145*a**2 + 140?\nAnswer: 13737600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*6\/36*1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rajrjlaararuajaaur. What is prob of picking 1 u and 2 r?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 21 - 16. Let w(u) = 0*u**2 + 217 - 216 - m*u**2. Let o be -2 + 1 - (-3 - -1). Give w(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/263 greater than 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 442*v**3 - 2 + 5074*v**2 + 440*v**3 - 884*v**3 + 11839*v**2 - 1498*v**2.\nAnswer: -2*v**3 + 15415*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1772690?\nAnswer: 2, 5, 177269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + o**4 + (0*o + 0*o - o**2 + (-2 + 2 + 2*o)*(-2*o - 5*o + 5*o) - 7*o**2 + 4*o**2 + 13*o**2)*(-97*o**2 + 65 - 65).\nAnswer: -484*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 16*f**3 + f**2 - 1. Let o(x) = -x + 12. Let s be o(11). What is the tens digit of z(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 14*k + 2*m = -6152, 0 = m - 3. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5072222693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(228)*-3)\/(sqrt(1728) + -2*sqrt(1728)))**2*5*-4.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 22 = c, 4*v - 39 = 4*c - 7. Suppose -4*w - 1 = -5, 3*u - 3*w - 162 = 0. Calculate the highest common divisor of v and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, -17, -0.4, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/36 and -37\/1644?\nAnswer: 4932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l + 4*d, 24 = 2*l + 2*l - 4*d. Let q = -2\/77 + -144\/385. Which is the closest to 1? (a) l (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112418*x**2 + 113113*x**2 - 225507*x**2.\nAnswer: 24*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-14)\/(-21))\/(2\/15). Suppose -o*z - 4*s = -7, 3*z - 5*s - 7 = 12. Let h(c) = -7*c - 9 + c + 10 + 2*c**2 - 6*c**2 + c**z. Calculate h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - 12?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/7)\/((-4)\/14). What is the second derivative of 135*s - 2*s**c + 0*s**2 - 139*s wrt s?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 281349 (base 12) to base 16\nAnswer: a28a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p**2 - 3*p**2 + 2*p**2. Let h(j) be the third derivative of -j**4\/3 + 165*j**2 - j - 11. Give u(h(m)).\nAnswer: -320*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188177066 divided by 5102.\nAnswer: 36883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 179\/2 + (-2)\/4. Let j(u) = -174*u - 2 + 84*u + o*u. Determine j(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (5*(-5 + sqrt(300)) + sqrt(300)*-2*-1)**2)*2.\nAnswer: -7000*sqrt(3) + 30648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19834 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 46?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 7*d**2 - 78*d - 12. Determine x(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -644\/17 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -48 (b) 0.15 (c) 1\/5 (d) 1\/2 (e) 0.01 (f) -0.4 (g) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5140026*v**3 + 2*v**2 + 36910*v + 6?\nAnswer: -30840156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 6*j**2 - 6*j + 7. Let r be b(-5). Let l(m) = -m**3 - 19*m**2 - 16*m + 34. Let p be l(-18). Is r + -16 + p\/((-2)\/515) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/120 + a**5\/60 - 11*a**4\/24 + a**3\/6 + 21*a**2. Is s(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1189*i**3 - i**2 - 3*i + 7. Is o(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0422, -10, 0.4, 5\/6, -0.3, 6 in ascending order.\nAnswer: -10, -0.3, 0.0422, 0.4, 5\/6, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 569 = v, -90*i + 2*v = -89*i - 178. Calculate the least common multiple of 232 and i.\nAnswer: 5568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(160)\/sqrt(4))\/(sqrt(72) - (sqrt(72)*-1 + sqrt(72))) - (-3*sqrt(20) - (sqrt(5) - sqrt(45)\/(sqrt(54)\/sqrt(6)))).\nAnswer: 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/11168 and 119\/2620?\nAnswer: 7315040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50565612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -14. Let u = 13 + y. Let b = -4 + u. Is b at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22179 and 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 + 6*z - 6. Let a be ((1 + -2)\/(-2))\/(5\/90). Suppose -2*p = n + 1, -a = 3*p - 0. Let f(g) = 2*g**3 + 5*g - 5. Calculate n*c(s) - 6*f(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = f - 27 + 7, -f - 5*a + 24 = 0. Let d(y) = 0 + 2*y**2 - f + 3. Let w be d(-2). Solve w*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 3 - 10*(-56)\/(-16).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**6\/40 + 5*d**4\/24 + 2*d**2. What is the second derivative of i(z) wrt z?\nAnswer: 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -736*i - 1242. Let g(p) = 6. Let d(c) = 2*f(c) + 414*g(c). Let k(z) = -2*z. Calculate k(d(x)).\nAnswer: 2944*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(34)\/sqrt(2) + 2 + sqrt(17).\nAnswer: 2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 - 65 = -2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 0*c = -30. Suppose -62 - 8 = -5*f. Is (c\/21)\/((-2)\/f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164934 = -1414*u + 11116*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1726972 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47 and 926.572.\nAnswer: 43548.884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cs when two letters picked without replacement from szqdzcq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -181 + 388. Let n = 418 - u. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = b + 1, -2 - 7 = 4*b - 3*i. Let m(k) = -2*k - 6. Calculate m(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 - 3*p**2 + p + 1. Let u(m) be the first derivative of -m**4\/4 - 2*m**3\/3 + m - 16. What is -2*f(z) + 3*u(z)?\nAnswer: z**3 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 4. Let z be x(3). Let f = 2.4 + -1.4. Let s = f + 4. Put s, z, -2\/3 in descending order.\nAnswer: s, -2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 8. Let j be q(-8). Suppose -s + j*s = -5. Suppose 2*t = -s*w + 22, 2*t - 2*w = 3*w + 2. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -964.2.\nAnswer: -960.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwssm. Give prob of picking 2 s and 2 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 76*w + 1318. Give i(-17).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 12*t**2 - 15*t + 9. Calculate h(-11).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 210\/221 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(21\/6) - -2. What is the units digit of 18 + x\/((-8)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r - 4. Let h be t(4). Let i be 20\/(-16)*5 - (-2)\/8. Let b be 6\/9 + h\/i. Solve b = -m - 3*y, 0*y - 10 = 2*m - 4*y for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**8\/840 - n**6\/36 - 2*n**3 - 1. Let y(s) be the third derivative of d(s). Find the third derivative of y(u) wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2544 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiiiiipiiiippppipi. What is prob of picking 4 i?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16226, 32463, 48700, 64937?\n\"Answer: 16237*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1744 = -47*v + 43*v. Suppose 5*p = -3*f - 23, -4*p + 4*f = -f + 11. What are the prime factors of ((-27)\/6 - p)\/((-2)\/v)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/30 - 12\/(-60).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14\/3 in 1, -3\/14, -22?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104814166 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -18*f. Let u(n) be the first derivative of 0*n - 3\/2*n**2 - 25. Give x(u(p)).\nAnswer: 54*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3) + 33\/9)\/1. Suppose -p*b = 15, 2*b + 0*b - 10506 = -4*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -4*w + k + k, 0 = 3*w - 3*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*v + 2*v**4 + v**3 + v**4 + 44*v + 1 - 2*v**4 as y*v + g*v**3 + u*v**4 + h + x*v**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4*k - 12 - 14 = 0, -3*n = 2*k - 19. Let b(u) = -7*u - 3. Let h be b(-1). Is n greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q + 4*m - 14339 - 15389, -m = 2*q - 6606. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.4*0.1\nAnswer: -1.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 223*y**2 - 1412.\nAnswer: 446*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -15. Let o = 4 + -13. Let k = -9 - o. Solve x + 2*x - p = k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(33)\/sqrt(3) + -5 + sqrt(33)\/(1*sqrt(3))))**2 + 4.\nAnswer: -320*sqrt(11) + 1108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngnnvnegvhv. What is prob of picking 1 e and 1 v?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c**(2\/7)*c**(1\/5))\/((c**(-1\/5)\/c)\/c*c\/((c**(1\/5)\/c)\/c*c)))\/(c**(-3\/4)*c**(2\/7))**40 assuming c is positive.\nAnswer: c**(751\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-58)\/9)\/(3197\/(-57546)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-11\/5)*r*r)\/((r\/(r**(-3)*r))\/r)*r**(-5\/2)*(r*r**6*r)\/r assuming r is positive.\nAnswer: r**(23\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*b = 7*g + 111*b - 229, -2*g + b = -78. What is the highest common divisor of g and 952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/20516979 and -61\/14654985.\nAnswer: 102584895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*2)\/(4\/42*882\/42)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/14*(-42)\/(-3150)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.12562 rounded to two decimal places?\nAnswer: 18.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28518663 a multiple of 256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48.62 - -52. Let v = j + -3.7. Let k = -0.319966 - v. What is k rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.92 + 0.08. Which is the closest to -1? (a) 2\/3 (b) 4\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 2*k + 16, 0 = -5*f + 6*k - 3*k + 25 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3eb (base 15) in base 10?\nAnswer: -896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4 - 12*l**3 + 356*l**2 + 2460*l + 4400 = 0.\nAnswer: -5, -4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -d + 887, -2*w + 3*d + 1774 = -0*w. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/14)*(((o*o*o**5*o)\/o)\/o)\/o)**(-3\/2) assuming o is positive.\nAnswer: o**(-201\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 9*b - 276. Let r be j(31). Suppose 3*q - 20544 - 5871 = -r*g, 0 = g + 2*q - 8807. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 992, -3, 5, -60.\nAnswer: -60, -3, 5, 992","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 8\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3601 > -3601?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-75))\/(-16*(-23)\/3680*-2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**3 + 6364*t**2 + 173*t + 13386778.\nAnswer: 6*t**2 + 12728*t + 173","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 4. Let k be c(-4). Let b = 0 - k. Solve -5*y = -b - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -12, -4, 6, 18, 32, 48?\n\"Answer: c**2 + 5*c - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -4, 9 in ascending order.\nAnswer: -7, -5, -4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20658.\nAnswer: 2, 3, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + -17 - -9) + -8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*w + 160 = 22*w + 76 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38ad4 (base 16) to base 4.\nAnswer: 320223110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*s = j - 3, -5*j = 5*s. Let o = -29 + 28.2. Which is the third smallest value? (a) j (b) o (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21593, -86361, -194305, -345425, -539721, -777193?\nAnswer: -1057841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-7)*i)\/i)\/i**0)\/(i**(1\/2)*i**(-2\/3)) assuming i is positive.\nAnswer: i**(-41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*875\/200 + -10 + -3?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -107261, 4, 11.\nAnswer: -107261, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 978113?\nAnswer: 978113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2614*h*n**3 - 308*h - 3*n**3 + 50*n**2 wrt n?\nAnswer: 15684*h - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -6*n - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**7\/k**(-6))\/(k**(-1\/3))**0 assuming k is positive.\nAnswer: k**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 3*f**2 + 3*f**2)*(-6*f - f + 0*f) - f**3 + f**2 - f**2.\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/68*-2 + 292560\/20723.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62842185 divided by -105?\nAnswer: -598497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2 - -81) + (1 - -3) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 14\/3*w**3 + 0*w**2 - 191\/20*w**5 + 6 + 0*w**4 - 8*w. What is the second derivative of o(q) wrt q?\nAnswer: -1146*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 5*w**2 - 5*w - 1. Let x be m(-4). Suppose -x*r = -298 + 58. Suppose -l - r = -3*l. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-3 - 54\/(-13)). Let r = -0.605 - -0.005. Let t = 4.6 + r. What is the biggest value in t, 1, h?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 1 + 5. Let a(q) = 40*q**2 + n - 5 + 1. Is a(-1) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - h + 20 = 0, -5*f + h + 20 = -0*h. Let a = -602 - -630. What is the biggest value in a, 1\/3, f, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 times 1022.95\nAnswer: 15344.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*x**2 + 3*x - 10*x**2 - x**3 - x**4 + 22*x**2 to the form o + g*x**3 + f*x**4 + u*x**2 + s*x and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*n + 86 + 49 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3439685295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/162 and (-109704)\/(-12768) - (-6)\/38.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167013984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2135, 2, 2\/229?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from uvvuu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01469 + -543?\nAnswer: -542.98531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**4 - 5*m**4 + 0*m**4)*(65 + 36 - 31 - 1 + 0 + 0 + 3 - 3 + 2 + (1 + 3 - 3)*(0 - 2 + 0)).\nAnswer: -138*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.237 + 0.008. Let o = j - 0.244999307. Round o to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1988*o - 17828*o + 2*o**2 + 25*o**2.\nAnswer: 27*o**2 - 15840*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8 - 4.5. Let h = 19.3 + -19.4. Let p = 1 + -1. What is the closest to h in l, 0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3484 - 27889\/8. Find the common denominator of r and -1\/120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -576, -1913, -3230, -4527, -5804, -7061, -8298?\n\"Answer: 10*p**2 - 1367*p + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 11*p**2 + 7*p - 4. Let b be g(4). What is the highest common factor of b and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53 = -58*p + 152 + 27 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**5\/20 + v**3\/6 + v**2\/2 - 6*v + 363. Let j(l) = 5*l**3 + 8*l - 14. Calculate -j(q) + 6*r(q).\nAnswer: q**3 - 2*q + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdh when three letters picked without replacement from {p: 1, k: 1, h: 2, d: 1, c: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -c + 2*c + 57, 81 = 3*r + 3*c. Solve 4*m + 0*m = 2*w - r, 22 = -2*m + 3*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {c: 1, x: 1, o: 1, w: 3, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -54*t + 72. Let c(y) = 11*y - 15. Let l(m) = 24*c(m) + 5*v(m). Let o(p) = -16*p. Determine o(l(q)).\nAnswer: 96*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 22931 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -9313*f + 735719. What is p(79)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3*p**3 - 41*p**2 - 145*p - 47. Calculate f(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*x - 2 - 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.9069?\nAnswer: -0.27207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3420)\/171*((-4)\/(-4))\/(10\/8).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (768\/(-21))\/4*(6762\/(-92))\/(-21).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -502714197.006808112 - 252152.993104888. Let p = a + 502966147. Let k = p + 203. Round k to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*i - 65 + 175 = 0. Solve -i*d - 60 = 8*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43141*r + 1072*r - 5 - 6 + 11.\nAnswer: -42069*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000111111 (base 2) to base 12.\nAnswer: b13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144188*d + 144192*d = -l - 94, 5*d - 5*l = -105 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 35. Is d + 2 - (-1275 + 17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11670082591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11021 + 4553.11021. Which is smaller: -0.1 or w?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 AM and 8:11 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*u + 273*u = 2280. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 37940\nAnswer: -18970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 0*s**3 + 2395*s - 3*s**2 - 2394*s in the form y*s**2 + b + t*s + n*s**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.8 - -5.3. Let k = -4.6 + x. What is k rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33420*s**4 + 2*s**2 + 354*s + 9 wrt s?\nAnswer: 802080*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -2 + 2 + 0. Suppose -3*x - p + 11 = q, 5*x - 3 = x + p. Solve 0 = 5*h, -b - 2 - x = 3*h for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b**2 - 31*b**2 + b**2 + 11.\nAnswer: -20*b**2 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/19040 and -115\/102.\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + h = -h, a = 2*h. Suppose 30*w - 24*w - 70242 = a. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Let q = -2 + 4. What is the second derivative of -2*f**4 + q*f**2 + f - 2*f**r wrt f?\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 + c + 6. Let z be h(0). Let k = z + -3. Solve 0 = -k*d - 2*d + 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/1120 - o**6\/480 + o**5\/80 + o**3\/3 - 2*o. Let v(r) be the second derivative of k(r). Factor v(c).\nAnswer: -3*c*(c - 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 44*o**2 - 195*o - 3. Let b be p(-5). Put b, 3, -60, 5, -4 in increasing order.\nAnswer: -60, -4, b, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 697656159.\nAnswer: 3, 2871013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - 57. Let f = -17 + 28. Calculate the remainder when a*(-1)\/(-2) + 2 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*l = -16*l - 4. Calculate the lowest common multiple of l and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 3 = 9*r. Let w = 4 - 2. Let m = -4 + w. Which is the closest to -1? (a) 0.4 (b) m (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 7:08 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -6. Let y(z) = -z**2 + 7*z + 5. Let m be y(7). Suppose c*h = m*h - 8. Solve -2*x + 0*x + 25 = 3*q, -2*x + h*q = 10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (-1 + sqrt(275) - sqrt(11))) + (-2 + sqrt(539) - sqrt(539)) + (sqrt(1100) + 2 + sqrt(1100))*-1)**2.\nAnswer: 138*sqrt(11) + 5828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283404*g**2 - 141118*g**2 - 142297*g**2.\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -3 + 2 + -31 + 56 + 7 + -7.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216297 is divided by 3666.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + 14*m - 51. Let o be g(7). Let y(u) = -26*u + 3. Let i be y(o). Suppose -23 = -3*f + i. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1 (b) 0.5 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -6. Let s = -224 - -227.958. Let j = a + s. What is j rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, g: 2, f: 2, s: 10, o: 1}. What is prob of picking 1 e, 1 f, 1 s, and 1 g?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 807 or 8865\/11?\nAnswer: 807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*a**3*u - 3490*a*u**2 - 16141*u**2 wrt a?\nAnswer: 12*a**2*u - 3490*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/5 + 484316*t\/5 + 58640496964\/5.\nAnswer: (t + 242158)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 316433 or 2847892\/9?\nAnswer: 316433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -15\/7 (b) -15061 (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50, 155, 312, 521?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 0 + 1 + 4*s**2. List the prime factors of f(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*l + 4*l - 5*l)*(-2*l - 5*l + l) + (-2*l - l + l)*(-l + 2*l + 3*l))*(-3*l**2 - l**2 + 3*l**2) + 0*l**3 + l**4 + 0*l**3.\nAnswer: 15*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 1878539032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67323999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 11*h**3 + 3*h**2 + 3*h. Let j(s) = 5*s**3 + s**2 + s. Suppose 16 = 3*k + 7. Determine k*z(p) - 7*j(p).\nAnswer: -2*p**3 + 2*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83873 + 2176 = -1340*u - 16493 + 12762 for u.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3202154 + -153?\nAnswer: -3202340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + sqrt(27))**2 - (-2*sqrt(27))**2*2.\nAnswer: -153 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 256 and 25184?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppetettqe. What is prob of picking 2 e?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*h**2 + 2385*h - 1700.\nAnswer: -(h - 340)*(7*h - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (168 - 161) + (3 - (1 + 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -2*k - 4 - 0, 0 = 3*v - 4*k - 15. Let o = v - -5. Suppose -q - 4 = -o. Solve 2*b - 4*d - 14 = -d, -5*b - q*d = -16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23*m - 20*m + 64 + 108 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 AM and 6:57 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 2)*(2*i**2 - i**2 - 2*i**2).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25975966, -25975980, -25975994, -25976008?\n\"Answer: -14*v - 25975952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*2*(-1)\/3. Let m(h) = -h + 4. Calculate m(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114067848?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1596 and 141246?\nAnswer: 282492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 104 + -1. Is 103 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1787 is divided by 104.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00033945 rounded to five dps?\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -124085904 and 0.245.\nAnswer: -124085903.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 k, and 1 s when three letters picked without replacement from {x: 1, k: 7, s: 7, r: 3, h: 1}.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -4 - -1 - (5 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 470604 divided by -2443?\nAnswer: -470604\/2443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2559667?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, z: 2, y: 1, o: 2, s: 2, q: 1}. Give prob of picking 2 z and 1 s.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 5*s. Suppose -4 + 12 = 2*o. Solve o*t + s*t = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8*w + 8160 - 8074 = 0, 5*f = 5*w + 85 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*d + 4. Suppose 0*r + 4*s + 6 = 2*r, 5*r + d*s - 29 = 0. What is the second smallest value in r, 5\/4, 0.09?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 12*l**2 - 259*l - 1982. Determine b(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -13, 0.07, 0.2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-25))\/((-38)\/95)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 25*j**2\/2 + 6. List the prime factors of r(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91 is divided by (-1)\/(-6) - (447\/(-18) - -2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.788 + -2.78800066198. Round b to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(-1\/4)*j))**30*(j**2)**(-2\/3) assuming j is positive.\nAnswer: j**(217\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 0.01, 5, 8, 4 in decreasing order.\nAnswer: 8, 5, 4, 0.01, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 9:04 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.16 and -0.5209.\nAnswer: 3.729644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 588224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4 = -5. Let o be (-4459)\/(-4) - v\/12. Suppose o = -5*q + 5*w, 4*q - 3*q + 223 = -5*w. Round q to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -80 - 90*h - 23*h + 80. Let s(q) = 21*q**2 - 9*q - 9. Let j(t) = -5*t**2 + 2*t + 2. Let x(y) = 9*j(y) + 2*s(y). Calculate x(k(c)).\nAnswer: -38307*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(300)*2 + -1 + (sqrt(300) + -1)**2 + sqrt(300).\nAnswer: -130*sqrt(3) + 300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 78*d = -76*d + 28, -20 = 5*d for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*g**6*n**2 + 2*g**3*n**2 + 2*g**2*n**2 - 21*g*n**2 + 4*n**2 wrt g.\nAnswer: -3120*g**3*n**2 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1067*a - 243 = 1058*a. Solve 3*u + 12 = 0, -3*q + a = -3*u - 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*v + 42. Suppose -5*x = v - 49. What is the highest common divisor of 63 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4022 divided by 10963\nAnswer: -4022\/10963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9225\/(-70725) - (-372)\/(-322).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.93 + 93.73. Let j = 57 + -143. Let m = j + q. Which is bigger: -0.09 or m?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*d + 3 - 47, -16 = 2*l + 2*d. Suppose -h - 15 = -3*f - f, -3*f = -5*h - 7. Let k be 6\/(-9) + (-39)\/9. Put l, f, k in descending order.\nAnswer: f, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107\/16 at most as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6461.84836 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 315\/4 + 66\/(-88). Solve 31*x + 16 = w for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 0.6?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17500224 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 9:07 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 546856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -52, -131, -226, -337, -464?\n\"Answer: -8*i**2 - 55*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of -i**4\/24 - 7*i**3\/3 - 26*i**2. Let k be w(-16). Let j = 60 - k. Calculate the lowest common multiple of j and 22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1995 = -8*l + 9*l. Let v = -260 + l. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*s - 692 + 692)*(2 + 7*s - 1 - 3) to the form j*s + g*s**2 + p and give j.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 16*l - 35. Let v be (-31 + 3)*(2 + (-9)\/4) - 4. Give q(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + w + 211, -245 = 5*f - 10*f - 5*w. Solve 14*l = f - 10 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131327370 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-520.\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 2, c: 5}. Give prob of sequence cc.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millisecond in microseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 2, 14903, 12, 4, -3 in descending order.\nAnswer: 14903, 12, 4, 2, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27364 is divided by 2104.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-42)\/8 + 18 + (-234)\/18. Let z = -243\/1276 + 1\/116. Which is the closest to 0? (a) 0.2 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 65 + -60. Solve 3*x = -9, k*n + 0*x - 2 = -x for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 406087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-252)\/(-35) + 8\/10. Let g(k) = -k + 11. Calculate g(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 3. Suppose 0 = -8*v + 354 + 990. Let a = -165 + v. What is r(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**2 - 1 + 1)*(57*p - 57*p + 13*p**2).\nAnswer: 13*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139*y**2 - 427*y**2 - 98 + 122*y**2 + 2*y**3 + 146*y**2 to the form d + q*y**2 + b*y + v*y**3 and give q.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t\/(t**(1\/2)*t))\/t**(21\/5) assuming t is positive.\nAnswer: t**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3459 - 0.13759075?\nAnswer: -3459.13759075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 302425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 2*n**2 + 227*n**3 - 460*n**3 + 231*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19863 + -19547.18. Let i = x - 337. Let l = i - -12.05. Round l to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (378\/(-441))\/((-1224)\/126)?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-14)\/((f*f*f**(-14)*f)\/f)*f*f*f**20*f*f*f\/(f\/((f*f**(-3))\/f)) assuming f is positive.\nAnswer: f**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -35*j - 119. Let g be c(-15). Let x = g - 402. Solve x*o - 11 - 9 = 0, -2*r = -5*o + 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5898*p - 138663 + 301998 - 465856 = 529097 for p.\nAnswer: -141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - ((-264)\/64 - (-1)\/(-1)). Suppose 0*v**4 + 0*v**2 + 0 + 1\/8*v**5 + 0*v - j*v**3 = 0. What is v?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20976 divided by 364.\nAnswer: 5244\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1269*x**3 - 66*x**2 - 8236*x**3 + 66*x**2.\nAnswer: -6967*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7445134 = -194*t + 2604066. List the prime factors of t.\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 23142 = 176637. Suppose -4*w = h + 835. What is w rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(-5) - 457*-10*1.\nAnswer: 3, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 767944789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 18*u**2 + 0 - 39*u**2 - 16*u**2.\nAnswer: -37*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -1)\/(15\/195). Let n(u) = -6*u + 82. Let r be n(l). Solve 30 = -3*y + 3*p, -5*y = 2*p - r*p + 35 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(539)*-1 - (sqrt(539) - (sqrt(539) + 1 - sqrt(539))*-5))**2.\nAnswer: -350*sqrt(11) + 13500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/69181?\nAnswer: -2\/69181","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + x + 757, 3*d + 2*d - 5*x = -1870. Let b = 217 + d. Round b to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5a0 + 0?\nAnswer: -5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3f (base 16) in base 7?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59756561.\nAnswer: 31, 1927631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -0.099?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 b, and 2 k when four letters picked without replacement from {w: 1, r: 3, b: 2, k: 2, d: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 11. Let o(w) be the first derivative of -2*w - 5*w**3 + v*w**3 - 3 + 1. What is the first derivative of o(d) wrt d?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.1. Let u = k + -0.4. Put u, -2\/5, -3\/7 in decreasing order.\nAnswer: u, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164*a*u**2 - 2*a*u - 845*a + u**2 wrt u?\nAnswer: 328*a*u - 2*a + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t + 2. Suppose -183*a + 77 = -194*a. Calculate f(a).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/(-8))\/(2\/(-536)). Let y = -88 - k. Is 23 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/28, 392286 in decreasing order.\nAnswer: 392286, 1\/28, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -4 + 16 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-6))\/(6\/30) - 1. Let t = 135 - 134.43. Let o = t - 0.54. What is the nearest to x in -1\/3, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-24))\/(301\/(-344)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 48*d - 19. Let w(u) = u**2 + 16*u - 6. Calculate -2*b(a) + 7*w(a).\nAnswer: -a**2 + 16*a - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 298500.479 and -202.\nAnswer: 298298.479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 16*b**3 + 7*b**2 + 5*b. Let w(l) = l**3 + l**2 + l. Determine -q(p) + 5*w(p).\nAnswer: -11*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 10*r**2 + 0 + 1\/3*r**3 + 1099\/12*r**4 + 0*r. Let a be k(1). Round a to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1366489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 571058, 1142113, 1713168, 2284223, 2855278?\nAnswer: 3426333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 894*m*q*r**3 - m*q*r**2 + 6*m*q*r*s**3 - 3*m*r**3*s**3 + 17*q*r**2*s + q*s**2 - 2*r**2*s**3 wrt r?\nAnswer: 5364*m*q - 18*m*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46.66112kg to micrograms.\nAnswer: 46661120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2999)\/4)\/(645\/20). Let h = b + -18\/43. Calculate the common denominator of 43\/4 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and -209*2\/(-10) + (-17)\/(-85).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89605990.\nAnswer: 2, 5, 163, 54973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Factor -33*f**4 - 155*f**3 - 224*f**2 - 92*f.\nAnswer: -f*(f + 2)**2*(33*f + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-11 - -8) + (259\/(-18))\/(-7) and 113\/192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -40.8 (b) 0.2 (c) 5\/2 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/4)*b*b\/(b\/b**(-1\/9)*b*b))**(3\/28))**(-38))**(-5) assuming b is positive.\nAnswer: b**(-2945\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 21227891?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 112*t**2 - 1201*t + 97. Let i be u(100). Let m(g) be the third derivative of g**6\/120 + g**5\/30 - 5*g**4\/24 - g**3\/3 + g**2. Calculate m(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25280578 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 7*a**2 - 5*a - 1. Let u be (-50)\/(-8) + 3\/(-12). Let q be r(u). Solve q*l + k + 19 = 0, -2*k - 3*k = 4*l + 32 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i + 6. Let a be f(7). Let p be a\/(-9) - (-14)\/63. Let v be -1 - ((5 - 3) + p). What is the biggest value in 3, v, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -94 in 1\/5, -4, -2\/5, -0.05?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4, 8 = 5*l - 4*q - 6. Calculate the remainder when ((-32)\/10 - -3)\/(l\/(-310)) is divided by (-82)\/(-5) - (-8)\/(-20).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -15*u + 47*u**2 + 48*u**2 + 47*u**2 - 20*u - 14 - 144*u**2. Let y be d(-17). Factor 1\/3*t**2 - 1\/6*t - 1\/3*t**4 + 0*t**y + 1\/6*t**5 + 0.\nAnswer: t*(t - 1)**3*(t + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + -1 + 1 - -2. Let s(d) be the second derivative of 0 + 2*d - d**3 + 1\/2*d**p. What is the first derivative of s(w) wrt w?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 826000 and 179655?\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 229818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 7 = 22, 0 = -2*o + 2*q - 28. Let c(g) = 95*g**3 + 19*g**2 - 19*g. Let k(y) = 19*y**3 + 4*y**2 - 4*y. Calculate o*k(r) + 4*c(r).\nAnswer: 19*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**3 + 150*r**2 + 1440*r + 4320 = 0?\nAnswer: -12, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 23*b**2 - 8*b + 44. Let r be n(20). Suppose 2*z + 3*z - 1808 = -2*k, k = -3*z + r. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5474)\/(-2742) + -2)*(-330)\/(-11000)*-40?\nAnswer: 2\/457","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.6 in -3\/5, 5, -1134, -5, -2\/479?\nAnswer: -2\/479","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.36 + -1.4. Let y = i + 4.04. Let r = 14\/33 + -1\/11. Which is the second biggest value? (a) r (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 6. Suppose -4*q + n = -3. Put 5, -0.5, q in ascending order.\nAnswer: -0.5, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13667 times -8\nAnswer: 109336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 199871971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1162 (base 8) to base 15.\nAnswer: 2bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -40.81. Let x = r + -3.576. Let l = -0.014 + x. What is the second biggest value in l, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 13) in base 15?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - w. Suppose 2*i + 2*i - 128 = w. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 811 = 5*q, -10*x + 13*x + 3 = 0. Let l = -161 + q. Let n(d) = 4*d**3 - d**2 - 9*d. Let c(i) = -i**3 + 2*i. Give l*n(m) + 9*c(m).\nAnswer: -m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -9335.\nAnswer: -9336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*t**2 + 2003*t**3 + t**5 - 3*t**2 + 2617*t**3 - 114*t**4 - 3249*t + 0*t**5 - 1372*t**3 = 0 for t.\nAnswer: -1, 0, 1, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.94 - 0.2\nAnswer: 5.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 0.4, 1\/10, 0, -2\/53, 0.5 in descending order.\nAnswer: 0.5, 0.4, 1\/10, 0, -2\/53, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2083 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 70*u - 486, 415*p + 4*u = 412*p + 28 + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 24. Let g = h - 10. Let d = -8 + g. What is the closest to -2\/3 in d, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 3*d**2 + 3*d**2)*(6*d - 3*d - d) + (-2 + 3*d + 2 + (0 + 1 + 1)*(d - 4*d + d) + 2 - 2 + 2*d + 0 + 0 - 2*d)*(14 - 14 - 9*d**2).\nAnswer: 11*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9648.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 - 4 - 1)*(0 - 5 + 4)*(-6*p + 0*p + 4*p) in the form m + d*p and give d.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 1959 = -f - 3459, 0 = 4*x - f - 7225. Calculate the greatest common divisor of 65 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*w - 13 - 3, -4*w = -3*h + 17. Let a = -16 + 18. Suppose -j = a*j. Solve j = -h*n - 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 10*w**2 + 10*w + 21. Let k = 26 - 15. Is 5 a factor of a(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.96 + -18.96. What is the nearest to -1.05 in 1\/6, n, 2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7640765 a multiple of 775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i + 31 + 89 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3240*v**2 + 126 - 67 + 3237*v**2 - 71.\nAnswer: -3*v**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.04 times -687?\nAnswer: 39186.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 2:09 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*c + 1471*c + 1208*c to the form k*c + f and give k.\nAnswer: 2792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*m + 48*m - 89*m + 1504 for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 844 + -874 - (-1 - -1)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107 = -19*z + 31 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/6)\/((-5)\/10). What is the second smallest value in 0.2, x, 10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*s - 30*s - 5 = 0. Which is the closest to 16? (a) s (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b + 6. Let c be x(-6). Let q = -4 - c. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 32*w**2 - w. Suppose 21*r - 13*r = -8. What is the lowest common multiple of u(r) and 12?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times -1.89?\nAnswer: -13.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -614 (base 13) to base 7.\nAnswer: -3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.022 and 5348.\nAnswer: -117.656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -369 by 4.\nAnswer: -369\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 5*z - 2507 = -2486, -4*k + 62 = -k - 10*z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27.7 + -22.7. Let r = -1 - 2. What is the nearest to 0 in r, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 46 - 55. Let s be h*(-4 - -3)*(3 - 2). What is the greatest common factor of s and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-eight fifths of a week?\nAnswer: 96768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9194*g**2 - 9837*g**3 + 73758*g - 73758*g wrt g.\nAnswer: -59022","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 + x**3 - 44*x**2 - 195 + 169*x**2.\nAnswer: x**3 + 125*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 11*f - 2. Let i be 0 - -1 - (-2 - 4) - 4. Suppose -5*c + i*c = 0. Sort f, 2, c in decreasing order.\nAnswer: 2, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g**1\/g)*g)**(-13\/6))**7*((g\/g**1)**(-15))**(1\/4) assuming g is positive.\nAnswer: g**(-91\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/67665236 and 24\/11.\nAnswer: 744317596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**3 - 22*k**3 + 2*k + 0*k - 20*k**3 + 4*k**2 - 2*k**3 to v + a*k**2 + g*k**3 + o*k and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {k: 6, e: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 4*v - 20 = 0. Let n = 9 - v. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(112) - (-2 + 1 + sqrt(112)) - (sqrt(112) + 0)*-3)**2 - (-2 + -2*(sqrt(112) + -1))).\nAnswer: 32*sqrt(7) + 1010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355643?\nAnswer: 355643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -7*f + 6. Let j(l) = 8*l - 7. Let c be 15\/(-35) + (-75)\/21. Determine c*j(q) - 5*r(q).\nAnswer: 3*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 12:35 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/34 (b) 0.3 (c) -148.1 (d) 3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, f: 1, a: 1}. Give prob of sequence fa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 42 + -49 + (21 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*c**3 - 1 + (2*c**2 - 7*c**2 + 3*c**2)*(c - c - 2*c) - 4*c**3 - 1 + c**3 + 1164*c - 1147*c.\nAnswer: 4*c**3 + 17*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2 - 282*a - 4476. What is x(-21)?\nAnswer: -1200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*y - 29, 3*y + 5*g + 3 = -24. Let s be -2 + (32\/(-5))\/y. Which is smaller: 16 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20064 and -157718?\nAnswer: 137654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1)\/(t*t*t*t**(-2\/15))*(t*t**0)**16)\/(t**2\/(t*t**(-1\/3))*((t*t**(-1\/4))\/t)\/(t*t**(-2\/11))) assuming t is positive.\nAnswer: t**(2611\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcyeye. What is prob of sequence yy?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -751981*k - 3759916. Determine o(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -949987, -950179, -950383, -950605, -950851, -951127, -951439, -951793?\n\"Answer: -f**3 - 185*f - 949801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2603077 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -299*p**3 - 2 - 984*p**2 + 2 - 151*p**3 - 168*p**2 wrt p?\nAnswer: -2700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62144, -251098, -566020, -1006910?\n\"Answer: -62984*h**2 - 2*h + 842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awk when three letters picked without replacement from kiwwqyia.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r - 4588 + 4775 = 0 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(33)*2*1)\/(sqrt(275) + (sqrt(275)*-1 + sqrt(275) + sqrt(275) - sqrt(275))*-2).\nAnswer: -6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (55\/(-2))\/((-177)\/1770*5)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -125*0.6\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ax when two letters picked without replacement from axrdb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (5 - 2)) + 6. Suppose -x*a - 20 + 28 = 0. Suppose 2*l + 3*f = -1, -f + 13 = a*l - 0*f. Solve v = -v + l for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from muibpbmibmxuu. What is prob of picking 3 b and 1 m?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - c - 1. Let a(b) = 5*b**3 + 2*b**2 + 2*b**2 - b - 3 + 0*b**3. Let k(h) = h + 1. Let s be k(-4). Let w(d) = s*f(d) + a(d). Solve w(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 + b**3 + 5*b**3 + (4 - b - 4)*(5*b**2 - 3*b**2 - 3*b**2) + 3*b**3 - 2*b**3 + b**3 - 1 + b**3 + 1.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -13, 4\/9, 9, -3, 0.4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -171341 and 19.2.\nAnswer: -3289747.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 4 = 0, 0*n + 4*n - 213 = -5*d. Let l = d - 43. Let b be (-10 - 2)\/(-4) - (l - -2). Solve 0 = -b*k - x - x - 3, -x + 3 = -3*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -5 + 3 - (-10 - -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 43.326 hours?\nAnswer: 155973600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 15, 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(165)*2)\/sqrt(11))\/(2*sqrt(180)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 18*l - 13. Let s be g(1). Solve -4*i + 5*t = -20, -s*i = 4*t - 3*t + 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12096 divided by -21?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*u**2)*(-2*u - 2*u + 3*u) + (-4 + 1 + 2)*(-u**3 - 7*u**3 + 14*u**3).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*s - 3*s - 168, s - 204 = -4*z. Let v = s + -127. Calculate the remainder when v is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/11 and -29\/3892?\nAnswer: 42812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 2:35 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 5*s**3 + s**2 + 2. Let p = 31 - 29. Is k(p) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 625 + -921. Let b = -193 - u. What is the remainder when b is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 t, and 1 r when three letters picked without replacement from {z: 3, n: 9, y: 1, r: 2, t: 2}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 305, 457, 609?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o = 10*o - 5*n + 40, -25 = -5*n for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1753 + -3 + (-1 - 1). Is (36\/10)\/(y\/(-880) - -2) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 3 (b) -5 (c) 17\/21 (d) 1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/18)\/(33\/(-6) + 5)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/8*488\/732*1*(-4)\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/10664 and -73\/946.\nAnswer: 117304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -61 - -118. Let o = 115\/2 - y. Sort o, 2, -1\/3.\nAnswer: -1\/3, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-1*4)\/(-2). Suppose 3*f + 6*h = 8*h - 11, h = 2*f + 6. Let n be 4\/16 - (-28)\/16. Put n, z, f, 0 in increasing order.\nAnswer: f, 0, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -427 = 91*b + 665 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 130*p**3 + 460*p**2 + 1330*p + 735.\nAnswer: 5*(p - 21)*(p - 7)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d - 69 + 69 - 12*d + 97*d + 72*d + (3 + 1 - 5)*(0*d + 4*d - 2*d) to the form s + u*d and give u.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10 + (4 - (-3 + 4)). Let f(c) = -32*c + p*c + 10*c + 7*c. Let w(k) = -14*k. Determine w(f(h)).\nAnswer: 28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 984 and 508400?\nAnswer: 1525200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o + 4 = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(171) + 6*-2*sqrt(171) - sqrt(171))\/(4*sqrt(225)).\nAnswer: -12*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4252 + 8140 - 6*c - 3888.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -d**6\/15 - 1558*d**5\/25 - 1553*d**4\/5 - 9308*d**3\/15 - 3101*d**2\/5 - 310*d - 4315. Factor i(a).\nAnswer: -2*(a + 1)**4*(a + 775)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -578010, -2312791, -5204094, -9251919, -14456266?\n\"Answer: -578261*m**2 + 2*m + 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110010000 (base 2) in base 14?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1102021012100 (base 3) to base 9.\nAnswer: -1367170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284 + 915 = 109*s for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 1787?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-57)*(-1032)\/16 and ((-479)\/70)\/1 - 9\/(-45).\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k - k)*(4 + 0 - 5)*(4*k**3 + 33*k**3 + 2*k**3).\nAnswer: 117*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -456685 by 745.\nAnswer: -613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**3 - 2*h - 1. Let w be p(-1). Suppose -6*i + w*i - 2 = 0. Suppose 0*n = -i*n + 154. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23\/6 - -1279\/330. Let o(i) be the second derivative of 0*i**2 - 1\/55*i**5 + 2\/33*i**3 - p*i**6 + 2*i + 7\/66*i**4 + 0. Find u such that o(u) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -293 - z**3 - z + 14*z - 10*z**2 + 315 = 0.\nAnswer: -11, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5406135286*v + v**2 - 5406135286*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000097104568 rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -z + 41, -3*h = -9*z + 5*z - 26. Suppose -16*c = -h*c - 228. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -144.8945 and -55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80922*q + 282733*q + 194696*q.\nAnswer: 558351*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -17 + 1 + 48\/4. Suppose -4*q + 12 = -0*q. Suppose -q*x + 4*x = -1. Sort a, 1, x in increasing order.\nAnswer: a, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/17819?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1237 - 1236.7. Sort 2, -0.3, -0.02, n in ascending order.\nAnswer: -0.3, -0.02, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26) + 1*(sqrt(104)\/sqrt(4) + sqrt(26)))\/(sqrt(90)\/sqrt(5)) + ((-3 + 2*sqrt(13) + sqrt(13) - sqrt(13))*3)**2*-1.\nAnswer: -549 + 109*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400166 is divided by 338.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -8. Suppose -3*a + 2*j + 4 = 0, a + 2*a + 5*j = 11. Solve n = -4*g + a + 18 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5591 - -5773. What is the remainder when 421 is divided by q?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3377435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 57 + -1 + 9\/3. Suppose 0 = 2*y - s - 20 - 18, 3*y = 2*s + x. What is the remainder when 66 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -23*b**3 + 2*b**2 + 66*b + 186. What is the tens digit of m(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 20, -4*s = -6*v + 2*v. Sort 17, s, 5, 2 in increasing order.\nAnswer: s, 2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8388 or 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20249 and 39.8489116.\nAnswer: 20288.8489116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -2) + 3 + 2. Let d(r) = -32*r + 7. Let w(x) = 32*x - 8. Let z(t) = s*d(t) + 5*w(t). Is z(3) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -28*n - 228. Calculate v(-11).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 0. Let n = 4.175 + -4.135. Suppose 2*a - 20 = g - 9, -2 = 2*g + a. Sort n, g, p in descending order.\nAnswer: n, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*o + 3*o - 12*o)*((0*o + 3*o - 2*o)*(-o + o - 2*o) + 9*o**2 + 3*o**2 - 5*o**2)*(-3 + 2 + 3) to the form c*o + r + l*o**2 + j*o**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2083, -2079, -2063, -2029, -1971, -1883, -1759?\n\"Answer: t**3 - 3*t - 2081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9\/383 + 721\/1915. Find i such that 0 - 16\/5*i - x*i**2 = 0.\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 573 + -575. Put 2, y, -4, -36 in descending order.\nAnswer: 2, y, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 50560293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t*t\/t**(2\/7))*t*t)**19\/((t\/((t**(-2\/3)*t)\/t))\/t**5) assuming t is positive.\nAnswer: t**(184\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243) - (3 + -1 + sqrt(243) + sqrt(243))) + 3)**2 + (1*(sqrt(243) + -1 + sqrt(243)) - (sqrt(243) + 1 + 2)))*-2.\nAnswer: -480 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 620\/7*d - 204\/7*d**2 - 24\/7 = 0. What is d?\nAnswer: 2\/51, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k - 2. Suppose -11 = -3*l - 5*p + 22, -3*l + 54 = -2*p. What is the lowest common multiple of v(-4) and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**2 + 6*p - 10. Let s(w) = 15*w**2 + 13*w - 20. Let k(c) = -13*g(c) + 6*s(c). Let z be k(-3). Solve -5 - z = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - 27*q - 918000. Let g be n(0). What is g rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2370 (base 8) to base 9.\nAnswer: 1663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375568 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 37 = -3*r, -381 + 778 = 4*r + v + 378 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -419\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-64))\/(6\/(-4))*-2?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)*-2*-6 - (sqrt(156) - -1*sqrt(156) - sqrt(156))*2)\/(-2*(-6*(sqrt(12)*3 + sqrt(12) + sqrt(12)) - sqrt(12))).\nAnswer: 5*sqrt(13)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + y = 3*y - 9, 2*o + y = 6. Let n be 1 - ((o - 0) + 1). Are 2\/5 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*p*s**3*y**3 + 32*p*s**3 - 54*p*s**2*y**2 + 2*p*s - 2*p*y - 2*y wrt y?\nAnswer: 42*p*s**3*y - 108*p*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -6*h**5\/5 + h**4\/3 + 4*h - 6. What is the third derivative of f(r) wrt r?\nAnswer: -144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.9 (b) 5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from {l: 3, i: 1, k: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of w**3\/3 + 2*w**2 + 439*w. Let z(y) = 3*y. What is a(z(l))?\nAnswer: 6*l + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 276000 to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2 = -10. Suppose 11 = 5*k - 2*l + l, -4*k + 3*l + 11 = 0. Suppose k*x - x - 1 = 0. Put 4, v, x in decreasing order.\nAnswer: 4, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 107, 778, 2007, 3794, 6139?\n\"Answer: 279*o**2 - 166*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*g - 1205 - 270 = 25 + 18 for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 + 27. What is the first derivative of w**4 + u*w - 10 - 8*w + w**4 wrt w?\nAnswer: 8*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507240 is divided by 58.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4031436?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285815 by 1.\nAnswer: -285815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q**2 + 0*q**2 - 2*q**2)*(-164*q + 818*q + 324*q) as s*q + v*q**2 + o*q**3 + h and give o.\nAnswer: 1956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + 9)\/((-1)\/(-14754)). Let w = u - 413173\/28. Calculate the common denominator of 108\/(-88) + -1 + 1 and w.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5925 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: Let j(d) = d**2 + 17*d - 219. Let f be j(9). Solve 39 = 6*b + f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) 0.2 (c) 1\/3 (d) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34*1 - ((-3)\/((-54)\/(-2)))\/(1820\/(-16380)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785421.\nAnswer: 3, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 148*n - 649. Let h be q(5). Solve 5*i + 86 = h for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**7\/840 - v**6\/360 + 479*v**4\/24 - 11*v**3\/6 + 4*v**2. Let g(j) be the first derivative of s(j). Is g(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.131 - 0.731. Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-18)\/r)**(-6\/5))**16 assuming r is positive.\nAnswer: r**(1728\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -69.561 to 0 decimal places.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + (8 - (19 + (-8 - (2 - 4))))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 + 5*p**2 + 4. Let j be x(6). Suppose 1540*i - 1521*i + 19 = 0. Sort i, 5, j, 1 in decreasing order.\nAnswer: 5, 1, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5 + 81*z**4 + 1679*z**3 + 1519*z**2 - 1680*z - 1600 = 0.\nAnswer: -40, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31a9894 (base 11) in base 14?\nAnswer: a698dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 5*n + 40, 8 = 18*l - 25*l - n for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20432.8 + 20433. Sort u, -1970, -4\/5 in ascending order.\nAnswer: -1970, -4\/5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*c + 6082 - 44170. What are the prime factors of c?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 41. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -818*k - 420*k - 2900*k - 461*k in the form t*k + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20632 = 289*a + 286*a - 4532 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 144*b - 147*b = 19, 2*b = -10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960375119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (7\/28)\/((-2)\/(-5752)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -6) + (-7 - -12)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9900)\/(-594))\/((100\/72)\/(-5)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -24 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 50, 92, 132, 170?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b - 10. Suppose -2*h - 3*f = 2*h - 33, 2*h = f + 9. Suppose h = 4*d + 3*j - j, 5*d - 7 = -3*j. Calculate the greatest common factor of d and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**2 + z + 6. Let q = -2848 + 2851. Let u(n) = 2*n**2 + 5. Determine q*u(f) - 2*j(f).\nAnswer: 2*f**2 - 2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 216.5052km to nanometers.\nAnswer: 216505200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence blei when four letters picked without replacement from pbxblei?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.769 and 0.9.\nAnswer: 6.0921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -25*p**2. Let l(d) = -1 - 20*d + 22*d + 1. Calculate l(z(h)).\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.3 (b) 4 (c) -1\/2 (d) 1\/25 (e) 0.32 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9243 + -6182. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h**4 + 2*h**4 + 2*h**4)*(33 - 29 - 60) to the form g + t*h**2 + i*h + k*h**4 + l*h**3 and give k.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 2) + 2 - -153. Let o be (-4)\/14 - v\/(-35). Suppose -r + o*r = 42. Calculate the least common multiple of 18 and r.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*z - 2*z - 252 - 1134 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 108 - 3\/5*a**2 + 123\/5*a = 0.\nAnswer: -4, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-10))\/(4\/20). Let v = 5 + m. What are the prime factors of (-39)\/(-5) - v\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*x - 13, 5*x + 1 = 6. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1954, -2053, -2266, -2593, -3034?\nAnswer: -3589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -663924+-2.7028\nAnswer: -663926.7028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) -0.2 (b) -7.6 (c) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -3*z - b - 21, -2*z = 3*b + 10 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(5\/2)*((t**(3\/7)\/t)\/t*t*t)\/t)**(-39)\/(t**(-14)\/(t**0*t**(-3\/5)\/t)) assuming t is positive.\nAnswer: t**(-4397\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 19. Let z(l) = 2*l**2 + 39*l + 4. Let i(t) = 5*t**2 + 118*t + 11. Let c(p) = -4*i(p) + 11*z(p). What is a(c(r))?\nAnswer: -2*r**2 + 43*r - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.1 (b) -114 (c) -2.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3848*j - 4332 = 3962*j for j.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-5))**(-4\/19)*d**3\/d**(-1\/10) assuming d is positive.\nAnswer: d**(789\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**13*f*f)\/(f\/(f*f*(f\/(f*f**10\/f))\/f))*(f**(-17)\/f)\/(f**(-17)\/f))**(-15\/4) assuming f is positive.\nAnswer: f**(-105\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 8\/3*v**3 - 2 + 4\/3*v**2 + 2\/3*v**4 - 8\/3*v = 0?\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7435*-0.08\nAnswer: 594.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s**3 - 3*s**3 + 5*s**3)*(2*s - s - 2*s)*(-11 - 6 - 72) to the form t*s**3 + o + i*s**2 + b*s + u*s**4 and give u.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -21123*a**3 - 23840*a wrt a.\nAnswer: -126738*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (8 + 3) - (-8 + 8 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 0*u + 4*u + 4, 2*b + u = -1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 3*f**2 + 6*f - 13. Calculate the remainder when 14 is divided by w(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*(-4)\/3)\/(128\/192).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*s = 7 + 12, 0 = 5*y - 3*s - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -241\/36 or -7?\nAnswer: -241\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p + 2*p + 5*p)*(-2*p**2 + 3*p**2 + 0*p**2) - 1 + p + 2*p**3 - 3*p**2 - 6*p**3 + 6*p**3.\nAnswer: 5*p**3 - 3*p**2 + p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 5*g**4 - 145*g**3\/3 + 100*g**2 + 240*g - 18. Determine s, given that h(s) = 0.\nAnswer: -3\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 46 = -3*j - 0*j, -5*j = 0. Let w = y + -20. Solve w*p = p - 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 5*v - 5. Let h(s) = s**2 + s - 1. Give 10*h(p) - 2*n(p).\nAnswer: 10*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the third derivative of -b**5\/10 + b**4\/12 + b**3\/6 - 27*b**2. Let l be (4\/4)\/(1 - 2). Determine s(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 205995*d**2*k**3 + 9*d**2*k - 5*k**3 + 84884*k**2 + 2 wrt d?\nAnswer: 411990*d*k**3 + 18*d*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + v - 6*v)*(3*v**3 - 3*v**3 + 2*v**3) + 3 - 3 + 3*v**4 + (2*v - 5 + 5)*(8*v**3 + 4*v - 4*v).\nAnswer: 15*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d - d**2 - 7*d - 30*d - 3*d + 41*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**4 + 5*h**2.\nAnswer: -5*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 21429\/(-4242) - -3 - -2. Let p = 2\/101 - a. Which is greater: -1\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*o - 7, -3*x + 5*o + 41 = -x. Suppose 0 = -c + q + 6, -3*c - 27 = -x*c + 4*q. Solve -4*w + w - 9 = -c*d, 0 = -5*w + d - 19 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -205?\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 + 5 + 0 + -96. Let g be 54\/90 - c\/5. Suppose 118*z = 122*z - g. Solve 0 = 5*m + 25, 24 = 2*l - z*m - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -40001199194142?\nAnswer: 40001199194141.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1300 divided by 361.\nAnswer: 1300\/361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - g + 28. Let k be c(0). Let r = k - 32. Put 2, 1, r in ascending order.\nAnswer: r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*n + (-9*n - n + n)*(4 - 2 - 3) + 0 + 0 + n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -5180470 to the nearest 100000.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1279 divided by 169?\nAnswer: -1279\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 116\/36 - 4\/18. Does 15 divide -3 - (-28)\/2*y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + 12011001200?\nAnswer: 12011001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 197160.\nAnswer: 2, 3, 5, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/65360 and 65\/103286.\nAnswer: 78497360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 102019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -32282, -64570, -96858, -129146, -161434?\n\"Answer: -32288*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 11:41 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1581 (base 12) to base 5.\nAnswer: -40140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, d: 8, x: 5}. Give prob of sequence xxww.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1008, 1448, 1314, 606?\n\"Answer: -287*q**2 + 1301*q - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5881623*l**3 + 3460572*l**2?\nAnswer: -35289738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u. Let v(a) = -5*a + 2. Let z(c) = -1 + 8*c + 3*c**2 - 5 - c**2 - c. Let m be z(-4). Determine m*q(x) - v(x).\nAnswer: 3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 8272722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a - 19*a - 55*a + a. Suppose -2*n + 4 = 5*z - 5, -z + 11 = 5*n. Let b(o) = -n*o + 2*o**2 + o + o. What is s(b(v))?\nAnswer: -150*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 10*r**2 + 3*r - 26. Let k be x(10). What is the third derivative of 565*c - 67*c**2 - 48*c**k - 565*c wrt c?\nAnswer: -1152*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, -7, -4, -5, 5 in ascending order.\nAnswer: -7, -5, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 19*c**2 + 2. Let m be l(1). Suppose m*g - 20 - 64 = 0. Solve 5*h = 2*j + 25, -2*h + 3*h - 5 = g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387660 and 90.\nAnswer: 1162980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1776 by -4.\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 6*a - 18 - 16 = 0, -7 = 3*a - 2 - 2 + 6 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - a**4 - 2)*(0 + 1 - 4) - 3*a**2 + 821*a**4 + 41 + 4*a**2 - 817*a**4 to the form z*a**4 + b + v*a**3 + o*a + i*a**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 80889912 and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36662 is divided by 6107.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, k: 1, q: 10, y: 1}. Give prob of picking 1 w, 1 q, and 1 k.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72746542?\nAnswer: 2, 11, 571, 5791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 17 = -i - 2*i, 0 = -4*i - d + 16. Let m = 6 - i. Suppose 5*n - 35 = -5*w, 4*w + 3*n - 3 = m*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 f when three letters picked without replacement from lfdtfqtddfdffdddff.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 14 + 40 = 0. Let k = 27 + 3. Calculate the least common multiple of k and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 3 - (-22 - (-44 - -25) - 31)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*f - 7 - 3 = 0, 3*y - 5*f = 6. Solve 8 = -y*m + 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 88*v**2 - 89*v**2 - 5 + 47*v**2 + v. Is p(-2) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15822 and 8?\nAnswer: 63288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + 0. Suppose -4*a - 4*o + 4 = -2*a, 3*a = v*o + 17. Solve -2 = a*l - 5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -19094, -1\/10, -3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 6*f - f + r, 3 = 3*f + 3*r for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n - 7. Let g be k(7). Let q be 5\/(-25) - 414\/(-1170). What is the closest to g in q, -1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 3*q**2 + 2. Let y be r(3). Suppose 2*k = -k. Suppose -o + k*o = -6. Solve o = -l + y for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -449. Let g(w) = 374. Let i(c) = -6*g(c) - 5*h(c). Let v(x) = -5*x + 2. Calculate 4*i(n) - v(n).\nAnswer: 5*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258924 is divided by 28769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -182 (c) -12 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -103*s + 59. Calculate d(0).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -16250732*w + 248. Let z be f(14). Round z to the nearest one million.\nAnswer: -228000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 11*k**2 - 9*k + 16. Give i(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s + 4 - 0. Let p = 80861\/4 - 20221. What is the common denominator of (122\/(-32))\/(s\/2) and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 5*i**2 + 5*i - 1. Let j be 3*(2\/(-6) + 0). Suppose 9*a - 5 = 8*a. Let g(b) = b**2 + b. Let n(h) = a*g(h) + j*w(h). Differentiate n(s) wrt s.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -6. Let o(b) = b + 11. Let v(u) = -11*j(u) - 6*o(u). Let z(f) be the second derivative of f**3\/3 + 18*f. What is v(z(n))?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3\/11 + 856*w**2\/11 + 114632*w\/11 + 4562496\/11 = 0. Calculate w.\nAnswer: -178, -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5435 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484495?\nAnswer: 5, 11, 23, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1295 + 827. Is -466 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11264156.\nAnswer: 2, 773, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2853?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/(-28) + (-2)\/(-7). Let n = -1 + 4. Let l be -2 - (0\/n + -3). Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2. Let n be h(-1). Suppose 5*o + n*l + 295 = 0, 5*l + 134 + 43 = -3*o. Let u = o + 128. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1081\/3? (a) -5\/7 (b) 2\/9 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-16))\/((21\/10)\/(-7)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 9*m**3 - 5*m**2 + 11*m - 6. What is the hundreds digit of w(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:37 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 + 2*c + 2*c**4 + 671*c**3 - 7 - 671*c**3 to f*c**4 + g*c**2 + j*c**3 + u + h*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -18 (b) -7\/18 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let o(w) = 12*w**2. What is p(o(r))?\nAnswer: -288*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 12:00 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 11:45 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 11) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 - (4 - (-247)\/19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92 + 187\/2. Which is the biggest value? (a) m (b) 2 (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + sqrt(208) + 0)**2 + -5 + sqrt(13) + 0.\nAnswer: sqrt(13) + 827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1077*f = 1089*f - 732. Solve -f = 23*y + 8 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 156 = 53*w + 57*w. Let m(i) = i**2 + 2*i. Let r(x) = -2*x + 1. What is w*m(y) - 3*r(y)?\nAnswer: -2*y**2 + 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 - -21. Let k be (y\/(234\/24))\/((-2)\/267). Suppose -6*f + k = -200. Calculate the highest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 48*g + 1957. Calculate the remainder when 2746 is divided by h(-36).\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 3. Let i = 13 - 10. Which is the nearest to 3? (a) i (b) x (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -36, -331, -886, -1689, -2728, -3991, -5466, -7141?\n\"Answer: 2*o**3 - 142*o**2 + 117*o - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -429*f**3 - 243*f**3 - 81*f**3 + 135*f**3 + (-f + 0*f + 3*f)*(2*f**2 + 3*f**2 - 4*f**2).\nAnswer: -616*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**5\/2 + 165*c**4 - 11553*c**3\/2 + 56139*c**2 + 293202*c - 767340 = 0. Calculate c.\nAnswer: -5, 2, 29, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481 and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-15)*(14 - 4). Solve -4*h = -12, 4*h - 3 = n*s + 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-2.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -414\/505 - -4\/5. Let g = v - 95\/303. Let l be 6\/8*(-15)\/45. Which is the nearest to l? (a) -5 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2*t**6\/3 - 4*t**5 + 3*t**4 + 52*t**3\/3 - 16*t**2 - 48*t - 11. Find u such that g(u) = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/120 - x**5\/15 + x**4\/24 - x**3\/2 - 3*x**2. Let k be l(4). What is the units digit of -3*k\/(-3)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -1, -2, -26, 1 in descending order.\nAnswer: 18, 1, -1, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5394626 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008015003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + n = 75, -3*k - 3*n - 165 = -9*k. Solve 0 = 8*w - k*w - 21*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 549298873.\nAnswer: 19, 2843, 10169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zcyz when four letters picked without replacement from czyczzczz.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1388201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -31 <= -24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i + 80 = 0. Suppose -2*p + 4 = -i. What is the lowest common multiple of 9 and p?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - n + 1. Let v(m) = -2*m**3 + 4*m - 4. What is -4*a(w) - v(w)?\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 356, 734, 1112, 1490?\n\"Answer: 378*n - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**3 - 4*m + 1. Suppose 6 = -78*w + 75*w. Let g(t) = -3*t**3 + 3*t - 1. Determine w*q(f) - 3*g(f).\nAnswer: f**3 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**2\/a)*a)**33 assuming a is positive.\nAnswer: a**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i + i + 41 - 41 - 6*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 0 + 0*q**3 - 4*q + 1\/6*q**4 + 0*q**2. Let l(o) = -4*o. What is v(l(r))?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263977 and 1011661.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u + 7*u + u - 2*u + 3*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + l**2. Let r(q) = -710*q**3 - 4*q**2 - 23. Let h(k) = 4*m(k) + r(k). Find the first derivative of h(x) wrt x.\nAnswer: -2118*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 157, 2, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 358734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-1 - -4) + 4 + -11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83327807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 13*y + 2. Let x be a(-4). Let l = x + 51. Put l, 2, 3 in ascending order.\nAnswer: l, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + sqrt(2))*-6)**2.\nAnswer: 168*sqrt(2) + 268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 16 = -2*o - 3*o, 8 = -2*y + 3*o for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q**2 - 2*q**2 + 20*q + 50 - 20*q in the form j*q**2 + p*q + d and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 11*i**2 + 8*i + 2. Suppose 10*h - 18*h = -272. Suppose 5*z - 2*k = -58, -10*z + 13*z + h = k. What is r(z)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 5*q = 2*i + 4*i + 4, -2*q - 59 = -7*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2016024.\nAnswer: 2, 3, 167, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2, 0.357, -1\/10?\nAnswer: 0.357","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31751, 63550, 95385, 127256, 159163?\nAnswer: 191106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 596\/10 + (-6)\/(-15). Suppose -2*b = -f - 13, 5 = -8*b + 6*b - 5*f. Suppose -699 + 249 = -b*i. Calculate the greatest common divisor of q and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -3*m + 16, -16 = 5*c - 22*m + 21*m for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9456 - 9456. Let y(f) be the first derivative of 4*f + j*f**2 - 19 - 28\/3*f**3. Differentiate y(o) with respect to o.\nAnswer: -56*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 6*b + 5. Suppose 7*m - 15 = 4*m. Let h be l(m). Suppose 2*w = 6 + h. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(1\/6)*p)*p*p**(-2))\/(p\/(p\/p**1))**(2\/31) assuming p is positive.\nAnswer: p**(-415\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -395 times 0.5?\nAnswer: -197.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -9 + 55*(-6)\/(-30). Solve -v + 2*p - p = 3, 0 = p - n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0\/1 + -3. Let o(z) = -5*z. Let q(a) = a**2 + 2*a. Let l be q(-3). Let p(s) = -720*s - 767*s - 758*s + 2239*s. Determine l*p(x) + m*o(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15456, 15993, 16892, 18159, 19800?\nAnswer: 21821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**3 + 15*j**3 + 12*j**3.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 times -90\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3857557 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 318 divided by 2.\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*f + 16. Suppose 4*p - 1 = f. Suppose 2*a - 136 = -p*a. What is the remainder when a is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4108 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:50 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45 - -37) + (-1 + 3 - 0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5*u**2 + 36. Let c be h(-6). Let j be (21\/4)\/(c\/(-32) - -7). Suppose 0 = -0*m + 7*m - j. Solve 0 = 5*q + 3*k - 22, -5*q - k + 21 = m*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38484 - -80978.51?\nAnswer: 119462.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3918.84 kilograms to nanograms.\nAnswer: 3918840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39257.\nAnswer: 37, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 28*o**2 - 40*o - 61. What is the remainder when m(25) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1d0 (base 15) to base 11\nAnswer: -352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 17*y**2 + 40*y + 41. What is the units digit of i(18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z + 987 - 524 - 463.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 514, 2102, 4756, 8470, 13238, 19054, 25912?\n\"Answer: -m**3 + 539*m**2 - 22*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**3 - v**2 + 1. Let j be f(1). Suppose 27*r = 29*r - 4. What is the first derivative of 6 - r + j*l**2 + 2*l - 2*l wrt l?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18526456 divided by 6.\nAnswer: 9263228\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + q - 2 = 4*c, -5 = -q - 2*c. Let f be ((-112)\/(-6))\/(18\/81). Let y = -60 + f. Calculate the greatest common factor of y and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 + 6*x**2 + 4*x - 11. Let t(f) = f**3 - 1. Let r(c) = -s(c) + t(c). What is the remainder when r(-6) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 136 - -107. Suppose 0*r - j = -2*r - q, q = 3. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 15*c + 16*c = 1510661, 5*l - 3776648 = -c. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 5*l**2 + 5*l + 8. Let r be c(6). Solve -4*n - r = 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35150 - 35147. What is the highest common factor of 7737 and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20219004 and 1053.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/197, 0.03, 4, 3, 0, -7 in ascending order.\nAnswer: -7, 0, 3\/197, 0.03, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 2\/5, -2, 48, 2\/27 in ascending order.\nAnswer: -2, -0.3, 2\/27, 2\/5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*d + 7*d + 126. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 30735.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 2*f**2 - 7*f**2 + (-2 - 2 + 28)*(4*f + 4*f - 4*f)*(4 - f - 4) to y*f + i + t*f**2 and give t.\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = 5*c. Let x(u) = 3*u**2 - u. Let v be x(1). Put v, c, 0 in ascending order.\nAnswer: c, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**2 + 0*j**2 - 15*j**3 + 12*j**4 - 3*j**5 - j**2.\nAnswer: -3*j**2*(j - 2)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11 - -1)*3\/(-6). Let n be -4 - (-10)\/((-50)\/(-55)). Suppose 0 = -2*s - 2*s + 20. Solve 0 = -3*q + 3*g - 15, g - m*g = s*q + n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/15)*z)\/(z*(z\/((((z\/(z*((z*z*z\/((z*z**14)\/z))\/z)\/z))\/z)\/z)\/z))\/z) assuming z is positive.\nAnswer: z**(148\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - 111111?\nAnswer: -1011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 2 = 2*j - u, 3*u - 1 = -4*j. Let m be (5 - 3)*(j - -1). Suppose 1 = -m*t - 3*v + 14, 7 = 3*t + 5*v. Solve -1 - 3 = t*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12313, 24625, 36937, 49249, 61561?\nAnswer: 73873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10328\/9 != 1148?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 45*q + 9 = 0, -4*m = -6*q + 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 11:04 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0539431 years in millennia?\nAnswer: 0.0000539431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 2 (b) -3684 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - -1) + ((8 + 1 - 3) + 31 - 5).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j. Let v(u) = 4*u + 1. Let w(m) = -m**2 - m + 2*m**3 + 4*m**2 + 0*m**3 - m**3 - 2. Let g be w(-3). What is g*v(c) + 3*x(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(11) + sqrt(33)\/sqrt(3) - sqrt(11)) - (sqrt(660)\/(sqrt(36)\/sqrt(3)) - sqrt(55)))\/(1*sqrt(891)*2).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13309*n - 199924. Calculate i(-15).\nAnswer: -289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 43 = -5*i, -31 = 6*d - 2*d - i. Let z = -6 - d. Suppose -3*o - z*h + 57 = 0, -4*o = -3*o + 3*h - 11. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of -4*c - 1\/3*c**3 + 0*c**4 - 1\/10*c**5 + 0*c**2 + 0. What is the second derivative of r(m) wrt m?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192932563?\nAnswer: 9377, 127219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 1. Let w be 6\/1*(-8)\/(-6). Suppose 5 = 3*f + w. Let h(b) = 5 - 3*b + 4*b - 3*b. What is f*h(u) + 4*k(u)?\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + a**2 - 5*a - 3. Let p be o(-3). What are the prime factors of (p\/(-4))\/(2\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 633.19 (b) 0.3 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 1 - 3, 4*u + w - 7 = 0. Let i = 41 - 37. Solve -u*m = -i*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 16) in base 12?\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14400 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 1 + 9. Suppose -q*k = 8, -k = 5*t - 0*t - 176. Let v = t - 19. What are the prime factors of v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 5*r**2 - r + 5. Let w be z(5). Let u be (-40)\/12 - 3 - (-6)\/(-9). Let k be 4 + (5 - 12)\/u. Solve 0*c + k*c = w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 2*y + 2*y**2 + 4*y**3)*(1484 - 1484 + 80*y) to c*y**3 + v*y**4 + n*y**2 + s*y + b and give c.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.2, -0.3, 2\/5, -3\/32, 2\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*w - 1\/4*w**2 + 1\/2.\nAnswer: -(w - 2)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2 + (-9 - -12) + ((-366154)\/(-535))\/(-118)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 11*s + v - 2016, v = s - 504. What is the remainder when s is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*2*-1*(-13318)\/6659.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -66714*h**2 + 35514*h - 2.\nAnswer: -133428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -42. Let v(f) = -41*f + 0 - 1 + 24*f + 19*f. Let s(a) = 5*a - 1. Give r*s(i) - 7*v(i).\nAnswer: i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -190 - -218. What is the smallest value in -5, 1\/4, f?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075700 divided by -620?\nAnswer: 1735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 5, 2, 97\/38, -5, -4\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 305 = -l + 706, 3*l - 2981 = 4*u. Does 34 divide 10\/(90\/l) - (2 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q + 91063 = 4*w, 19*w - 22*w + 4*q = -68261. Is w a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9835658 micrograms to nanograms.\nAnswer: 983.5658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23109, -23153, -23211, -23289, -23393?\nAnswer: -23529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11517?\nAnswer: 3, 11, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + 4.83. What is the closest to -1\/2 in 2\/3, i, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 280 divided by -56\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10657*w - 146962 = 662970 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56.3 + 56. Which is greater: h or -3\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 3 = 0, 2*z - 516 = -2*a. Let h be (-3)\/(-2)*(-1)\/(9\/(-24)). Suppose 0 = 5*f - 4*v - a, h*f + 2*v - 4*v - 202 = 0. Is 28 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5100 less than 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52333*u - 763334*u - 3012204*u.\nAnswer: -3827871*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*x**3\/3 + 6682*x**2\/3 - 6593*x\/3 + 26 = 0. What is x?\nAnswer: 2\/167, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74905 and 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 5*m - 80. Let f be z(-19). Let o = 178 + f. Solve 0 = o*p - 14 + 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 164154689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = o - 15. Let q(y) = -y**3 + 6*y**2 + 4*y + 13. Let l(c) = -c - 1. Let w(h) = o*l(h) + q(h). Calculate w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/(-56) - 777\/120. Let r = a - -7. Sort -5, -0.3, r.\nAnswer: -5, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 569945 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19101 is divided by 61.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010101100001101000110000 - -10100?\nAnswer: -1010101100001101000011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 3*x = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 83*t - 79*t - 4, 0*n = n + 9*t + 41 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/((-11)\/(-143)*(-104)\/(-8))*6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100010010 - 1000?\nAnswer: -101100011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 8, 33.\nAnswer: 3\/8, 8, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prbgu. Give prob of sequence grp.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5234.\nAnswer: 2, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2925.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times 1.0555?\nAnswer: -0.06333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.7. Let h = -45 - -87. Let d be 4\/(-6) - h\/(-9). Which is the smallest value? (a) t (b) d (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -53*q + 14*q + 234 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5470 and 22.\nAnswer: -120340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4781)\/(-2049)*(-3)\/(-28)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 331 - 257. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 663, 1410, 2157?\nAnswer: 2904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z - 6*z + 3*z)*(-6 - 3 + 3)*(99 + 401 - 80 + (0 + 1 - 2)*(1 + 5 - 1)) as f*z + a and give f.\nAnswer: -2490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1493\/2 + 747. Which is the third biggest value? (a) x (b) 0 (c) -0.022\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2)*(12 - 9). Solve -3*v = 5*k - 3, 5*v + 7 + 22 = b*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 5:33 AM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 57984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6960 * -88.\nAnswer: -612480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 2 = -3*f. Let p = f - -36. Calculate the remainder when p is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 9*n + 13. Let p be l(13). Suppose -p = -5*w + 25. Let i be (-4)\/w + 368\/36. Calculate the highest common factor of i and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r + 10 = -20*r. Suppose 46 = 5*m - 2*i - 2*i, -6 = -m + 4*i. Let a = m + -6. Calculate the remainder when r is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11558 - 11557 + 13528*h**2 - 13564*h**2.\nAnswer: -36*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 4774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.10473 to one decimal place.\nAnswer: -67.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (7 - (-4 + -1 + 6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-8) - 3\/6. Suppose -b - 2*b + 3*d + 60 = 0, v*b + 2*d = 70. What is the remainder when (-2)\/5 - (-864)\/10 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6875 + 6875 + 972*o to a + h*o and give h.\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 806*s = 706*s + 6600 for s.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**4\/3 + 374*p**3 - 38995*p**2\/3 - 771784*p + 26913588 = 0.\nAnswer: -1154, -46, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - ((132 - 1) + (3022 - 3056)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/1*((-51)\/34)\/((-36)\/24)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - -11. Suppose 4*q + 3 - c = 0. Let b = -25 - -42. What is the remainder when b is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(208))**2.\nAnswer: -24*sqrt(13) + 217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7290 divided by 3.\nAnswer: 2430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 3:15 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-3\/8)*k*k\/(k\/(k\/k**(2\/43)))*k*k**14*k*k**(-1\/7))**35 assuming k is positive.\nAnswer: k**(209925\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11, -12, -59, -142, -273, -464?\n\"Answer: -2*k**3 - 9*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.8 + 14.31. Let p = 0.4592 + b. What is p rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1535, -3134, -4643, -6062?\n\"Answer: 45*o**2 - 1734*o + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 18. Suppose -7*h = -n*h + 6. Find t, given that -2\/5*t**2 - 1\/5 + 3\/5*t**4 + 1\/5*t**5 + 2\/5*t**h - 3\/5*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1625 and 8250.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16 (b) 3 (c) 0 (d) 0.01316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 15. Let m be d(-12). Let l be 55\/m - (-4 + 0 + 6). Which is smaller: 17 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 6*p + 2. Let h be m(-4). Let v be (-1)\/(3\/h) - -3. What is the nearest to -1\/3 in 0.5, -3, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1757 is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 36\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*y - 231*y - 24*y - 551*y.\nAnswer: -829*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39204, -84730, -130256?\nAnswer: -175782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -110*w - 553*w**2 - 85*w**4 + 553*w**2 wrt w?\nAnswer: -1020*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -2 - -8) + 1. Suppose r = 4*r - y. Let p(k) be the third derivative of -k**6\/120 + k**5\/20 + k**4\/8 - k**3\/3 - 2*k**2. Calculate p(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 7*i**2 - 6*i - 20. What is q(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 0 - (-3)\/(-3). Let g be (3 + -125*1)\/h. Suppose -2*v + 3*v + g = 0. What is v rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + (5 - 4) + 5 + (-39 - 76)?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6154, -12383, -18612, -24841, -31070?\n\"Answer: -6229*n + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (5 - 11) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -9, -24, -4, 258, -2 in decreasing order.\nAnswer: 258, 8, -2, -3, -4, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 4*o + 27090 - 362837, 4*o - 6*i - 335702 = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 - (21 + -58)) + 82 + -1\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-15)\/(-4))*6\/4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21464495 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/2 + 7*g**3 + 24*g**2 - 7*g - 49\/2.\nAnswer: (g - 1)*(g + 1)*(g + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 4)*(-2 + 2 - 2*l)*(-6 + 1 + 1).\nAnswer: -40*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 6*a + 4. Let l(t) be the second derivative of 2*t + 5\/2*t**2 + 7\/6*t**3 - 1\/2*t**4 + 0. What is 7*j(o) - 6*l(o)?\nAnswer: o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 11*k**2 + 3*k + 36. Suppose 374*q - 380*q = 42. Is d(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/(-6))\/(6\/(-54)). Suppose -2*i = 5*p + 28 + f, -2*i = -p + 40. Let u = i - -64. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004470954641 to six decimal places.\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*(h*h*h\/(h\/h**2))\/h)\/h)\/h**(-3\/5)*h**(1\/2)*h*h**(1\/6)*h)\/((h*(h\/((h\/(h**0*h))\/h))\/h)**27)**(-5\/3) assuming h is positive.\nAnswer: h**(1444\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2292339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 5*m - 26, 2*d + 14 = -0*d - 3*m for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(-5 + sqrt(300) + -3*sqrt(300) - (sqrt(300) - (((sqrt(300) - sqrt(300)*1) + -5 - sqrt(300) - sqrt(300) - sqrt(300)) + sqrt(300))))**2*1.\nAnswer: 10000*sqrt(3) + 76000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1392 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 9:08 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16095339629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 3:53 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9770902*d**3 - 18*d**2 - 1870*d + 5 wrt d.\nAnswer: 58625412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 + 35. Let z = -321 + 366. What is the greatest common factor of z and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**3 - 5*w**2 - 201*w - 6. Let v(r) = -11*r**3 + 8*r**2 + 401*r + 14. Let f(d) = 7*t(d) + 3*v(d). What is the second derivative of f(i) wrt i?\nAnswer: 12*i - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -97. Let o = 62 + k. Calculate the highest common factor of 9 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 102*y + 5. Let z be u(2). Calculate the greatest common factor of z and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = r + d - 18, r + 5*d + 11 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from drdavv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14086 - -5?\nAnswer: 1408b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*b + 136*b + 80 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - d - 5 = 0. Solve 2*s - 4*b = 6, -d = -2*s - 2*b - 13 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 23 = 4*r + 5, 5*p - 39 = -2*r for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) - (-1*sqrt(220) + sqrt(220)))*-6)\/((sqrt(720)*1 - sqrt(720)) + -2*sqrt(320)).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.23 - 18.21. Let w = x + 11.98483. What is w rounded to four dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191579354?\nAnswer: 2, 401, 238877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {p: 12, w: 7}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**4 + 30*r**3 - 45*r**2 - 20*r + 60.\nAnswer: -5*(r - 3)*(r - 2)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i. Let m(r) be the second derivative of 29*r**3\/3 - 185*r + 4. Determine m(q(j)).\nAnswer: 116*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 4:36 PM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7}. Give prob of picking 4 p.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, s: 3, b: 1, i: 1, h: 1}. What is prob of picking 1 i and 1 b?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 17 = o, 29108*o + 28 = 5*f + 29110*o for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:13 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -102839154, -205678309, -308517464?\n\"Answer: -102839155*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)\/sqrt(2))\/sqrt(3))\/(1*sqrt(108)).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 188*d**2 + 1001*d + 428*d**2 - 1000*d + (0*d - 2*d + 4*d)*(5*d - 2*d - d).\nAnswer: 620*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - (4 - 11 - ((-14 - -3) + 0)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*q = 7, -3*q + 51 = -2*y + 5*y. Calculate the lowest common multiple of y and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111859*c**5 + 2*c**3 + 5487265*c**2.\nAnswer: -6711540*c**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 57700172 to the power of 1\/3, to the nearest integer?\nAnswer: 386","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1331) + sqrt(1331) + 5)**2.\nAnswer: 330*sqrt(11) + 12004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5716.2483s?\nAnswer: 0.06616028125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 3701?\nAnswer: -740.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-23 - -33)*-6*1\/(-5) and 220.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4218 and 3775.\nAnswer: -15922950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 123*i**2. Let d(y) = -43158*y**2. Calculate d(z(m)).\nAnswer: -652937382*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + -1 + (0 - 3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -581 or -595?\nAnswer: -595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 1. Let j(r) = -r**2 + 4 + 4 - 17*r**3 + 16*r**3 + 2*r**2. Give -2*j(a) + 14*w(a).\nAnswer: 2*a**3 - 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-5))\/(284\/(-142)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 2*m = -37 - 50 - 30, i - 3*m = -178 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 487937 is divided by 285.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8*x - 3*x = -211, 2*l = x + 101. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-62)\/8 + 1\/(-4). Let y(h) = -12*h**2 + 15*h - 2. Let t be y(z). What is t rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 2:56 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.06847*-9.\nAnswer: -0.61623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 261*q + 7*q**2 - 255*q - q**2 to p + d*q + g*q**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16309316.\nAnswer: 2, 499, 8171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4*z = -16, 2*l - z = l + 8. Solve 4*h - 7*h + l = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 4*f + 9*f to the form o + r*f and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(6) - ((sqrt(60)\/sqrt(5) + sqrt(12))\/sqrt(2) + sqrt(6) - sqrt(6)))\/((sqrt(33)*-2)\/sqrt(11)).\nAnswer: -2 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*a - 7*a + 14*a + 7)*(2*a**2 + 23*a**2 - a**2).\nAnswer: -192*a**3 + 168*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3938, -1, -3 in decreasing order.\nAnswer: 3938, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -56, -107, -184, -293?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2921*l = -122772 - 40804 for l.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7\/(3 - 2) - (1 + 3). Let a(t) = 9*t. Let v(g) = 7*g. Let r(k) = m*v(k) - 2*a(k). Let f(i) = i**2 - 1 + 1. Give f(r(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/(-30)*-2*(-4)\/14?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -25 = -155\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -399091, -399088, -399085, -399082?\nAnswer: -399079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9487 - 9590) + (1 - -69)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**5*o**3 + 76*d**5*o**2 + 2*d**2*o**3 - 1565*d*o**2 wrt d.\nAnswer: 240*d**2*o**3 + 4560*d**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 12:33 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 490 divide 2412191303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(4*(-3)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36532 + -40387.2. What is y rounded to the nearest 100?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -908362 divided by -2254.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13800913 or -13800911?\nAnswer: -13800913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2892 - 2892. Solve 4\/3*r**4 - 2\/3*r**3 + j - 4\/3*r**2 + 2\/3*r = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + -3. Let f = 31 - z. Let p = 39.9999938 - f. What is p rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -1, -10, -15, -16?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 + (-2 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-5))\/(1072\/6030)*(132\/(-9))\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3227 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + (6 + -4 + -6 - -7) + 1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/56 and -5\/98?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 382649 = -3*m, 2*m = 13*o - 8*o - 478294. Suppose -4*p + 95660 = y, 9*p + 5*y - o = 5*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 140\/11? (a) -0.1 (b) 4 (c) -4\/5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 882*c - 67752. Determine q(85).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = n + 4. Calculate the least common multiple of n and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -21*l + 1. Let b(t) = 257191*t + 4. What is b(n(u))?\nAnswer: -5401011*u + 257195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v**4 - 11545*v**3 - 4458966*v**2 - 5717180*v - 1269752 = 0.\nAnswer: -1034, -614, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1023, -1026, -1039, -1068, -1119, -1198, -1311?\nAnswer: -1464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -9*k + 5 - 1 + 6. Let f(o) = -8*o + 9. Let r(t) = 7*f(t) - 6*s(t). What is r(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 45*x - 2356. What is z(-83)?\nAnswer: 798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10\/(-4) + 1 - 5985\/(-342). Solve 2 - 18 = n*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 10. Let l be a(7). Let s(j) = -9*j**2 - 5*j**2 + l*j + j**2 - 1 - 2*j. Let x(f) = f**3 - 14*f**2 + 31*f + 23. Let i be x(11). Give s(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 6*(sqrt(171) + 1 + 0).\nAnswer: 2 + 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from yjjfjqyjj?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.3126806 + 81401.\nAnswer: 81415.3126806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-88)\/4 - 16\/4. Let x be (-8 + (1 - s))*(-54)\/(-2). Calculate the highest common divisor of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - 13.98. Let a = -5358 - -5358.5. What is the nearest to 0 in -0.3, a, d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**2 + 356*k - 1122. Determine o(-122).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -15*u + 95\/6*u**4 + 0*u**2 - 173\/20*u**5 + 1\/6*u**3 + 0. Find the third derivative of p(i) wrt i.\nAnswer: -1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -2, -23 in ascending order.\nAnswer: -23, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 35 + 81 + 64 = 0. Let t = 1 + -1. Let u = t - m. Calculate the remainder when 64 is divided by u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 75344231 or 1?\nAnswer: 75344231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2938.98 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-885)\/413 + 9*5*20\/225\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 39*f**2 - 1945*f - 2249. What is l(51)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 13 = -9*c. Let z be -1 - 1\/c*-1. Let j(w) = -w**3 - 3*w**2 - 5*w - 3. Let o be j(-2). Solve 5*f = -5*s - 10, -o*f + z*f = 5*s + 6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2)*2*0. Let t(k) = 0*k + 8*k**3 + 8*k**3 - 15*k**3 - 5 - k. Determine t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -880 - -854 - (113 + -4).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2\/6)\/(1415\/(-849)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 2?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-256)\/896)\/((-10)\/14). What is the closest to a in 3, 1, 13.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 b when two letters picked without replacement from gqkab?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/9 + (-58)\/180. Let u = 111.351 - 111.591. What is the third smallest value in u, 3\/2, g?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 38050, 37765, 37464, 37141, 36790, 36405, 35980, 35509?\n\"Answer: -r**3 - 2*r**2 - 272*r + 38325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*2\/(291\/(-285) + 1). Let k = v + -151. Is k at least as big as -56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from kvk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47641?\nAnswer: 11, 61, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0540165 hours?\nAnswer: 194459400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in 2, 2\/11, 5, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4959*l - 84436. Determine n(17).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 15.97. Let l = -0.53 + m. Let x = -5 + 4.7. What is the nearest to 0.1 in l, x, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11402, 45479, 102286, 181829, 284114?\nAnswer: 409147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 22*n**2 - 10*n - 57. Let c = 435 - 441. What are the prime factors of x(c)?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 2*u + 1. Let k be r(3). Let p = -2055 + 6169\/3. Suppose -8*t = -3*t + 10. Which is the third smallest value? (a) k (b) -1 (c) p (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544373 is divided by 263?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 3*z + 5*z + 3*f + 50 = 0, 2*z - f = -42 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-720)*100*(-5)\/(75\/(-84))?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 669206 to the power of 1\/2, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 2, 0.5, -0.76, 2\/17 in ascending order.\nAnswer: -1.1, -0.76, 2\/17, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 918080 divided by 94?\nAnswer: 459040\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = x - 2*b, -19 - 32 = -5*x - 2*b for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6269720693 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 + 3.7. Let m = 0.681 - -0.174. Let v = m - b. What is v rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.26 + 0.26. Let s = -36 - -38. Let z be -4 + 4 - (-1)\/3. Which is the second biggest value? (a) 8 (b) s (c) z (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 19 (b) 191 (c) -0.27 (d) 2\/7 (e) -0.5 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 p, and 2 i when four letters picked without replacement from ihiiiiipi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-132))\/(62\/(-10044))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(10\/((-180)\/(-6))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 7*i - 4. Let h be d(-5). Let p = h + -4. Let x(m) = 9*m + 2. What is the least common multiple of 8 and x(p)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11768? (a) 0.8 (b) 2\/19 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - (-1 + 3) - -4 - (-408 - -397). Put p, 3\/8, -2\/3, -2, -2\/15 in descending order.\nAnswer: p, 3\/8, -2\/15, -2\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/10 and 5\/8 - (3 - 1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 437537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 8*z**2 + 9*z + 218. What is the lowest common multiple of 1\/(-2) - 253\/(-2) and d(10)?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + -88. Does 18 divide h\/(-5) + (176 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01060274296 to 6 dps.\nAnswer: 0.010603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-8 - -6) + -2 - 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 + (-14)\/3)\/((-1)\/3). Let z be (12\/(-8) - k\/(-2)) + 19. Suppose -5*d = z + 8. Put 5, d, -15 in descending order.\nAnswer: 5, d, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -607269, -1214474, -1821611, -2428674, -3035657, -3642554, -4249359?\nAnswer: -4856066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6253275561566.6664 - -6253966363277.56640098. Let l = c - 690801701. Let n = 9.9 - l. Round n to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3\/8)\/u)**(-1\/22)*u**(1\/30)\/(u*u**(1\/8)) assuming u is positive.\nAnswer: u**(-247\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3.5151 and 304.1.\nAnswer: 300.5849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 8:37 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -4, 4, -168, 0, -5 in ascending order.\nAnswer: -168, -9, -5, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82026 is divided by 4107.\nAnswer: 3993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/2)\/(1101\/(-8808))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*(-546)\/91.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1662 - -0.1572. Round m to 3 decimal places.\nAnswer: 0.323","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + 2 + (-2 - -3). Suppose -t*b + 8*x = 3*x + 5, 2*x = 4*b - 2. Solve 0*n = b*n + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**3 + 13*x**2 + 7*x + 19. Give v(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 0.68951097.\nAnswer: 2.68951097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5551\/3 + 1831. Find the common denominator of 19\/7 and g.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2073.146 litres in millilitres?\nAnswer: 2073146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 473577 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 173 + -172.7. Let s = 40 - 41. Let y(g) = -2*g**3 - 2*g**2 + 1. Let n be y(s). What is the smallest value in -2, a, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 25\/45 + (-10)\/45. Which is the closest to 2? (a) f (b) -0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, p: 6, t: 2, d: 2, e: 1, a: 6}. Give prob of sequence cpe.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58635, 58643, 58655, 58671, 58691, 58715, 58743?\nAnswer: 58775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 9*i**2 + 8*i + 4. Let m be r(-8). Let s = 99 - m. Does 19 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -1011101?\nAnswer: -1011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213491 - 37438. Let c = 82947 + f. What is c rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -8*h - 84. Let t be m(-11). Suppose -5*i - 69 = -3*j, -t*i + 17 = j - 6. Is j even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 3*a + 5 - 4, -2*u + 7*a - 3 = a + 1 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 18*n**3 - n**2 + 8*n - 6. Let x be f(1). Suppose -x*c = 138 - 309. Solve -c*i - 4 = -8*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4395 + 5228. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqkkqkq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -32 - -32.5. What is the closest to 0 in r, 1\/3, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*j = -4, -8 = -2*t - 0*t + j. Let v = 41 + -29. Calculate the remainder when v is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + o + 5. Let j(n) = -n**3 - 9*n**2 - 7*n + 8. Let i be j(-8). Give m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -24334?\nAnswer: 24333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.3572 nanometers in micrometers?\nAnswer: 0.0113572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkklmkmmk. Give prob of picking 1 l and 1 m.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k**3 + 0*k**3 + 73*k**3.\nAnswer: 43*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i = -12*i + 18. Let h(u) = u**2 - 16*u - 21. Let p be h(i). Find the second derivative of -42*k**4 + p*k**4 - 21*k - 24*k + 42*k wrt k.\nAnswer: -324*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8465, 4624, 783, -3058, -6899?\n\"Answer: -3841*q + 12306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -523*i + 525*i, 5*q = -2*i - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.85? (a) -0.3 (b) 3 (c) -2 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -684 divided by -3.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-250)\/(-8375))\/((-14)\/(-63)*-3)*4\/(-6).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*q + q + q)*(-3*q**2 + q**2 + q**2)*(2108 - 1025 - 4249)*(-3 + 1 + 0) to j + r*q**3 + i*q + l*q**2 and give r.\nAnswer: -12664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 24974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2, 4, 2, -31 in increasing order.\nAnswer: -31, -2, 0.5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.57 + 11.67. Which is the third smallest value? (a) k (b) 0.4 (c) 0.37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, u: 4, j: 3, q: 1}. What is prob of picking 1 q and 1 i?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-28) - 3\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 55.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**2 + 6*w**2 - 3*w - 6*w**2 + 4*w wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -v**9\/168 - 7*v**5\/30 - v**2. Find the third derivative of s(t) wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-942)\/14 - 8\/(-28). Let o be c\/(-5) + (-6)\/15. Solve 4*w - w = 3, 5*k - 2*w - o = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 154*b - 82. Give i(-2).\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75155275.\nAnswer: 5, 13, 71, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 - 5*h - 3. Let l(d) = 11*d**2 - 9*d - 5. Give -3*l(j) + 5*w(j).\nAnswer: -3*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25908739.\nAnswer: 25908739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22527207 divided by 7509069?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 13\/5 (b) -7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*d**4 + 0*d**2 + 0*d**2 - d**3 - 10*d - 6*d**4 to p*d**4 + u*d**3 + a*d**2 + o + x*d and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 8 + 515*v**3 + 12 - 1151*v**3 + 638*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9566*p + 36 = 9572*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) 0.05 (c) -13 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 6*w**2 + 2*w - 5. Let i be -1 + (-30)\/9 + 1743\/747. Give o(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3)\/(-2 - 1)*(-31 + 5496)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 9 - 33. What is the units digit of 430 + (i\/1 - (6 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317 + 1099 - 345 - 348 - 30*j.\nAnswer: -30*j + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3438 - 0.155.\nAnswer: -3438.155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/20 + 366*f**2. Let o(l) = -26*l. Give r(o(v)).\nAnswer: 2028*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/740952 and -121\/84.\nAnswer: 5186664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + d + 16 = 0, -1 = w + 4*d + 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (8\/70)\/((-8)\/20)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.155 times -8.1\nAnswer: -1.2555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q - 31*q = -144 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.3 times -33566?\nAnswer: 245031.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -39. Suppose 2*w - 3*w + 152 = 0. What is the highest common divisor of w and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 + 516*k**2 - 1562*k + 1110. Suppose -10 - 1130 = -5*u. What is the lowest common multiple of u and a(-261)?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -6*h**3 - 2*h**2 + 1. Let u be f(-1). Suppose -5*t + u*n + 30 = 0, t - 4*n - 12 = -n. Suppose 4*m - 536 = -t*s, 3*m + 2*m = -4*s + 671. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 389182447?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - x + 3 - 30 = 0, -3*x - 39 = -5*l. Let z(g) = l*g**2 + 2*g**2 - 5*g**2. Let s(k) = -2*k**2. Give z(s(i)).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 2 + 2 = 18. Sort g, -2483, 4 in decreasing order.\nAnswer: 4, g, -2483","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 238444.38 nanoseconds?\nAnswer: 0.000003974073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 7*z**2 - 3*z - 4. Let u = 42 - 30. Suppose 0*v + u = 2*v. Calculate the remainder when 41 is divided by d(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/4*((2 - -4) + -2). Suppose v = 14 + 14. Calculate the greatest common factor of u and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w - 70. Let p(k) = 35. Let o(l) = -35. Let z(b) = 6*o(b) + 7*p(b). Let t(j) = 6*a(j) + 11*z(j). Find the first derivative of t(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-11 - (-2 + 1 + -26 + 0))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i - 17 + 5. Let c(f) = 5 - 2*f - 3*f**2 - 5 + 5*f**i + 3 + f**3. What is c(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 + 48*u + 4. Let b be l(-5). Which is bigger: b or 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 570186?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*b + 10*b - 4427. What is b rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1868, 3734, 5600, 7466?\n\"Answer: 1866*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6846292833613 and 0.08?\nAnswer: 6846292833612.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**4 - y**3 - y**2 + y - 1. Let w(c) = -48*c**4 + 4*c**3 + 6*c**2 - 152*c + 4. Let o(l) = 4*j(l) + w(l). Find the second derivative of o(f) wrt f.\nAnswer: -624*f**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 3*x + 99 = 0, -5*d - 284*x + 287*x - 13 = 0. What is the biggest value in 1\/61, 4\/5, d?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(11) - (sqrt(33)\/sqrt(3) + sqrt(11) + 1))*-2 + 2 + 5)*5)**2.\nAnswer: 22500*sqrt(11) + 78125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40255*p**2\/6 + 174439*p\/2 - 13\/3 = 0. Calculate p.\nAnswer: 2\/40255, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-81)\/(72\/(-8))*(-2)\/(-2). Solve 0*r + 24 = -4*r + 4*t, r - 2*t + p = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15440, 45444, 95460, 165494, 255552, 365640, 495764?\nAnswer: 645930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 675614 or 676834?\nAnswer: 676834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 734968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - -8 - 6) + 0 + -3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6063 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 846*a**3*j - 3*a**3*s**3 + 14*a**3*s + a**3 + 3*a**2*j*s**2 - a**2*s**3 - 2917*a*j + 2*s**3 wrt a.\nAnswer: 5076*j - 18*s**3 + 84*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 - -16. What is the closest to 2\/9 in -3\/2, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 3*v = 150. Is 2\/5 + (-12330)\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6526 is divided by 327?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -260, -280, -318, -380, -472, -600?\n\"Answer: -f**3 - 3*f**2 - 4*f - 252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 23*0.1199406\nAnswer: 2.7586338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15553511 - 134?\nAnswer: 15553333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 431 (base 8) to base 9.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 - -27. Which is smaller: 0.05 or n?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - w**3 + 2*w**3 + (-2*w - 4 + 4)*(3*w**2 + 4*w**2 - 2*w**2).\nAnswer: -7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 - -113. What is the remainder when o is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000101425 to seven decimal places.\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: cb5 (base 16) to base 14\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -15189*b. Let w(i) = -i**2 - 323. Give w(h(a)).\nAnswer: -230705721*a**2 - 323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 604045 divided by -2\nAnswer: -604045\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Let t(d) = -3*d**2 + 5*d**2 + d**u. Let p(h) = -4*h**2. Let l(w) = -9*w**2. Let f(b) = 6*l(b) - 13*p(b). What is t(f(s))?\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8792036 + 8792036 + 16*b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:35 PM?\nAnswer: 5:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6557 - 0?\nAnswer: -6557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*r + 134121 = 0, -56*j + 5*r = -51*j - 335370. What is the thousands digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.1, -1\/3, 1330?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:07 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o = -14*o + 148. Let a = -58 - o. Let b be 4\/a - (-203997)\/12. Round b to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and 19\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 3:42 PM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u + 3. Let q be (-11)\/((-2)\/(6\/(-3))). Let f be o(q). Let g = f + -9. Which is the second biggest value? (a) 2 (b) -1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/24*21\/(21\/8)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1044 - -4?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607 - 601 + 2364 + 16*h - 595 - 561.\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/142 in 2, -1\/15, -9?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78465462?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*u = 4487 + 973. Solve 0 = 4*t - 5*r - u, -17*r + 12*r = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(85) + (sqrt(85) - (sqrt(85) - (sqrt(85) - (sqrt(85)*2 - sqrt(85))*-5))))\/((sqrt(5) - sqrt(880)\/sqrt(11))*5).\nAnswer: -sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -6. Suppose 4*j = a - 3*a - 12, -4*a - v = 4*j. Let p = 7 + -4. Solve -p*k = -a*b - 19, 0 = -k + b + b + 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8730 = -4*s - 50*w - 8068, 0 = 4*s - w + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.15800071 + -0.158. Round b to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6975844?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 1788 = -2*i. Let y = 627 + i. Suppose -2*r - a = -2*a - y, 5*a = -10. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, w: 4, z: 1, s: 1, j: 1}. What is prob of sequence jw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -827\/88 + 102\/11. Put -3\/2, -4, p, -0.4 in descending order.\nAnswer: p, -0.4, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (6*(-2*sqrt(1452) + sqrt(1452))*-4*-3*2)**2)*1*-3.\nAnswer: -90326028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27*104\/1638)\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*n - 3*n + 2*n - 2*n + 4*n + n + (1 + 10*n - 1)*(-6 + 4 + 0) - n - n + n.\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 1. Let q(f) = -3*f - 5. Determine 6*c(m) + q(m).\nAnswer: -3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13238 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 4*n + 8. Let d(i) = -3*i**2 - 19*i - 2. Let j be d(-6). Let z be p(j). What is the greatest common factor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 3*t**2 + 5*t - 2. Let i be u(3). Let q = i + -9. Let h = q + 0. Solve j - h + 2 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + ((-55)\/(-45) - -5). What is l in 0 - v*l**3 + 4\/9*l - 2\/9*l**2 = 0?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 + k - 3. Let s be 0\/((-12)\/21 + 11\/7). What is n(s)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19620 and 3180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4 = -2*f - 4, 9 = -f + 5*t for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 - 51. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -23*h**2 - 105*h + 23. Give s(-6).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 4 (b) -6 (c) -4220 (d) 2 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, 17, -2\/5, -22 in decreasing order.\nAnswer: 17, -2\/5, -3\/2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2556)\/(-447300)*(-10 - 0).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(2\/6)*8778\/(-2394)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1598\/145 - 308\/29. Is m != -3064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4 - 1 - 3*u - 2*u. Let i(l) = 15*l - 8. Let o(m) = -4*i(m) - 11*y(m). What are the prime factors of o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23127394 is divided by 382.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 3*m - 164.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 14 = 2*m - 39 + 2, -5*b - 5*m + 2 = -38 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 3*m**2 + 1. Is 5 a factor of y(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g*v - 564*g*y + 31211*v*y - 7*y + 21 wrt v.\nAnswer: g + 31211*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 4.856\nAnswer: 14.568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -9474*f - 1174779. Determine g(-124).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 15*p - 10. Let f be g(-13). Is (-3764)\/(-16) - 4\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -12. Let d be (-20)\/(-15) + 8 + 35\/(-15) + -6. Sort t, -1, d, 3 in decreasing order.\nAnswer: 3, d, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2447538, -2447543, -2447550, -2447559, -2447570?\nAnswer: -2447583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b**(-3)\/b)*b**8 assuming b is positive.\nAnswer: b**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.6947 to two decimal places.\nAnswer: 2.69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*p - 1. Let h = p + 14. What is the second smallest value in -0.07, 0, h, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 60400?\nAnswer: 1\/60400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - -b2?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11817 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(176) + -1) + 2 + -1)*-4)**2.\nAnswer: -1536*sqrt(11) + 45200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21821 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 184 (b) -0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -72 at least -71?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 979*-1.676.\nAnswer: -1640.804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62624, 125248, 187872?\nAnswer: 250496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4222?\nAnswer: 2, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**3 + 2861*i**2 + 675332*i + 538432 = 0.\nAnswer: -179, -4\/5, 752","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 63 - 9*h**3 + 25*h**2 + 2*h**3 - 15*h - 14*h + 6*h**3. Is a(22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of m**4\/12 + 7*m**3\/6 + 3*m**2 - 10*m - 186. Let z(j) be the first derivative of f(j). Determine o, given that z(o) = 0.\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-42)\/(-1197) + 3585\/171 and 636.\nAnswer: 4452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 - 6*r**2 + 29*r - 36. Let k be i(-11). Calculate the greatest common factor of 75 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303740147 - 14*b + 57*b + 303740148 - 607480297.\nAnswer: 43*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162, 323, 484?\nAnswer: 645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13 + 22 + (-21 - -10) + -2\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/322 and 101\/89964?\nAnswer: 2069172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 2*k**2 - 192*k**3 + 11*k - 2*k**2.\nAnswer: -192*k**3 + 12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gkae when four letters picked without replacement from {q: 1, a: 1, g: 2, n: 1, k: 5, e: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1.2 (b) -0.6 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3146)\/(-121))\/(64\/(-8)).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-10) - (-70)\/25. Let w be (-1)\/(t + (-215)\/70). Let c(a) = -15815*a**2 - 19*a + 6. Let l be c(w). Round l to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(204)\/sqrt(432) + -3*sqrt(85)\/sqrt(5)))**2.\nAnswer: 4913\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 7 = 106. Let w(f) = f - 10. Calculate w(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r - 4. Let v be h(-4). Let u be -1*-1*(4 - 2). Let f(c) = -7*c + u*c + 6*c. What is f(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 305680363*a**2 - 283767835*a?\nAnswer: 611360726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7529521 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (((-9)\/6)\/1)\/(9\/(-24)). Suppose -s = 3*s - 32. Solve 0*j - p*j = s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 10 + (0 - 5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-36)\/(-9) + 0\/12. Let q(g) be the first derivative of 0*g - 6*g**2 + 15 + 0*g**o + 0*g**3 - 12\/5*g**5. Find the second derivative of q(s) wrt s.\nAnswer: -144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)*m*m**(1\/2)*m*m assuming m is positive.\nAnswer: 1\/sqrt(m)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 61078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082714 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 525 = -390. Solve 25*o + 4 = y*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -37*a + 2. Let d(s) = -123*s + 62*s + 64*s. Determine d(y(c)).\nAnswer: -111*c + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-6)*1)\/((-31)\/186)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*i**2 + 6*i**2 - 2*i**2 + 66*i**2 + 30*i**2.\nAnswer: 106*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 4:39 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -4. Suppose -3*z - j + 8 = 0. Let r(f) = 2 - z*f - 2. Let d(q) = -q**2. Determine d(r(c)).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 111510\/(-8673)*42\/27\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 1 + 68)*(-2 + 3 + 7)*(2*j**2 - 2*j**3 - 2*j**2).\nAnswer: -768*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26*r**2 + 86*r - 60.\nAnswer: -2*(r - 1)*(13*r - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71206*b**5 - b**3 - 2*b**2 + 2*b + 402577.\nAnswer: -1424120*b**3 - 6*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/4))**20\/(q\/q**(-1))**(-35)*(q**(-2\/3)\/q*q*((q\/(q*q**(-6)*q))\/q)\/q)**(11\/3) assuming q is positive.\nAnswer: q**(752\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 74815600 rounded to the nearest 1000000?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1374967, 2749962, 4124957, 5499952, 6874947?\nAnswer: 8249942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 5 + 4)*(1 + 2*n**2 - 1) - 1396*n**2 + 681*n**2 + 802*n**2 + n in the form z*n**2 + y + m*n and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 23*q + 3. Let t(i) = -22*i - 4. Give -3*h(y) - 2*t(y).\nAnswer: -25*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.2839 * 0.0245\nAnswer: -0.03145555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8144840 and 23320.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7724908 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 22*u + 15624 = 0. Is u a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49830679040*y**4 - 99869757760*y**3 - 417089880*y**2 - 581175*y - 270.\nAnswer: -5*(y + 2)*(2152*y + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39276.3 + 41521. What is n rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -160, 0.4, -4, -5, 0.26 in ascending order.\nAnswer: -160, -5, -4, -0.2, 0.26, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.132 in 60, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 15*q - 19*q. Suppose -3*a = 2*h - 26, 3*a - 5*h = a - q. Suppose -a*b + 1055 = -b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a. Suppose 0*o - 12 = 3*o. Let w be s(o). Let j be -4 + -4 + 5 + 15. Is j greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -22412 take away -0.4?\nAnswer: -22411.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 7 (b) -0.1 (c) 143 (d) 238\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l**3 - 92*l**2 + 160*l - 76. Let x(r) = -2*r**3 - r**2 - r + 1. Let p(f) = -6*x(f) + z(f). Factor p(c).\nAnswer: 2*(c - 41)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*f + 1646 - 871 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3830301 (base 12) to base 16\nAnswer: a804b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4333 (base 10) in base 13?\nAnswer: -1c84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11113 (base 4) to base 14\nAnswer: -1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + c + c + (-2 - 2 + 0)*(-3*c + 3*c + c).\nAnswer: -7*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 + 59. Suppose h = 2*c + 3*l - 43, c + 3 = -2*l + 25. Suppose c = 5*g - 40. Solve -u + 2*a = -0*u + 3, 4*a - g = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17135370.2571 less than -32.3?\nAnswer: 17135337.9571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/28)\/(1275\/1190)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 70. Let k(l) = -78*l - 9. Let d be k(-10). Let u be (-6)\/9 + d\/9. What is the highest common divisor of o and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 2*q + 18, -l + 15 = -4*l - 2*q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {i: 7, h: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 28. Let i be (-12)\/(-2 + 4\/(-56)*v). Let o = 81 + i. Is 33 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 + 132 = -45*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -6*v**2 - 5*v + 2. What is m(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 7, -2, -1, 193 in increasing order.\nAnswer: -2, -1, 7, 18, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of (-24220)\/90*(-30)\/(-35)*-48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 2. Let v(g) = -2*g**3 - 3*g - 43. What is -3*s(x) + v(x)?\nAnswer: -2*x**3 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 + ((-12996)\/(-27))\/19 - (-1)\/(-3). Solve -f - 29 = 5*a, 5*a + 19*f - 20*f = -s for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(2352)) + (sqrt(2352) + -1)*2)**2.\nAnswer: -56*sqrt(3) + 2353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 1904 - 3002. Let d be 12\/8 - z\/(-4). Suppose -2*g - 2*g = -d. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9442, -10512, -11594, -12688?\nAnswer: -13794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4 - 8*u**2 + 1 + 11 wrt u.\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - 6\/(-4) - 168\/(-48). Suppose 5*z = 3*n + 19, -5*n + z - 12 = a. Let w be 2782\/39 - (-4)\/n. What is the highest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1328 minus -1.007?\nAnswer: -1326.993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3042 - 1812. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 16*u - 1. Let d be q(-15). Let k(y) = 8*y + 7*y - d*y. Let l(m) = -7*m**2 + 5*m. Determine k(l(p)).\nAnswer: -7*p**2 + 5*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 931 divided by -19\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/4 and 25\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8917?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a - 216 = -32*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*d = -m - 80*d + 7, -3*m - 4*d + 1 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - ((2 - 1) + -1 + 1)) + 13811 + -13846\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 1198*k + 401*k + 402*k + 403*k.\nAnswer: 8*k - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9925638?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.267, -3\/7, -5, 3?\nAnswer: 0.267","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1293 + 8240.\nAnswer: 6947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -364455*q + 10010. Let l(d) = 437*d - 12. Determine 6*h(n) + 5005*l(n).\nAnswer: 455*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*0.05876486.\nAnswer: -0.23505944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -20, -2\/7, 5, -5, 3, -0.348?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28 + 34. Calculate the remainder when 195 is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - u + 4 = 0, 4*j - 5*u + 12 = 0. Suppose j*w - 1145 = -179. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + 3 + sqrt(17)*-3)**2 - (-1 + -4 + sqrt(153)*2).\nAnswer: -30*sqrt(17) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-12)*2\/14. Suppose 3*g - 2*g = 3. Let i be 2\/g*(-2 - 1). Which is the third smallest value? (a) i (b) x (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91768\/171 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 9*v + 8. Let q(n) = n + 1. Let t(u) = g(u) - 2*q(u). Let z be t(-6). Suppose 2*k - 4*k = z. Sort -0.2, k, 5.\nAnswer: -0.2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67\/4 greater than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 7:24 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 27*x. Let f(s) be the first derivative of -s**4\/24 - 7*s**2 - 2*s + 50. Let q(h) be the second derivative of f(h). Calculate q(r(m)).\nAnswer: -27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/1554 and -7\/979032.\nAnswer: 253569288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - -4) - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -7*c. Suppose -3*t + 2 = -4*m - c*m, 4*m = 2*t. Let k be 3 + -2 - 2\/t. Solve k = 2*d - 5*d - 3*h - 12, -3*d + 8 = -2*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95296 is divided by 47642?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.17? (a) 2 (b) 0.4 (c) 215 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 17 = -3*p - 4*i, -3*p + 4*i = -11. Suppose 0 = 10*y - p*y - 40. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/110 and -89\/361588160.\nAnswer: 3977469760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -114*l - 29*l**3 + 114*l - 30*l**2 wrt l?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74.77 - 74.85442. What is g rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 3*y - d + 12, 2*y - 18 = -5*d. Let w = 20 - y. Suppose 3*p + 0*f + f - 21 = 0, p = 3*f + 17. Calculate the lowest common multiple of p and w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 + -134. Suppose b + i*f + 5 = 0, -19 = -5*b + 46*f - 45*f. Suppose 3*m + 5*d = 2*d - 12, d = 2*m + 8. Put 2, m, b, -2 in descending order.\nAnswer: b, 2, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 2*u**2 - u + 4. Let p be k(-2). Let q be 15\/6*6\/5. Solve 3 = -q*b + p for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*z, y - 5*z - 2951 = -2948 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 9*p**2 - 12*p - 3. Let r be k(-10). Let t = r + -8. Suppose -4*w = -t*w + 15. Calculate the highest common divisor of 24 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 10\/29 (c) -0.3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.09251 - -12.35521. Let a = 8.24 - -2.06. Let i = f - a. Round i to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*i + 22*i**2 - 35*i to r*i + l*i**2 + c and give l.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 285\/(-450) + 6\/45. What is the fourth smallest value in 0.2, -1\/6, 0, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3714 - 3448.74. Let y = -0.378 - -263.378. Let x = y - w. Round x to 1 decimal place.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c - 2. Let s be g(-6). Let u be 0 - 3 - (s + 1). What are the prime factors of u\/(-30)*3*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1540 - 1022. What is the highest common factor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -391 + 364 = -3*a for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -58*g + 2. Let k be l(-2). Suppose 38 - k = -5*a. What is the lowest common multiple of a and 8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*(2*-2)\/(-2). Let z(l) = -l + 3*l - 4 - 1 + 2*l. Give z(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-2 - (-4 + 11) - (5 + -10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 82c59c (base 14) to base 16\nAnswer: 43581e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1464*q - 1348*q + 348 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/20 + b**2 - 4*b + 7. Determine n(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5*(-21)\/(2520\/48). Let j(z) = -4*z + 3. Let c(t) = 2*t - 2. Let p(f) = -5*c(f) - 3*j(f). Determine p(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 36454861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**7)\/((z**1*z)\/z))**(2\/129) assuming z is positive.\nAnswer: z**(-14\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8203447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1668 and 120.\nAnswer: 16680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - l**2 + 3522*l + 28165. Determine d(-8).\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -20, -2, 4, -3, -8 in decreasing order.\nAnswer: 4, -2, -3, -8, -20, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 + 30876 + 14319 = -1561*c for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/264 and -49\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2511913?\nAnswer: 263, 9551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + 0 - 67\/67. Suppose 2*m - 1605 + 216 = o*b, -b - 3505 = -5*m. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 4*r**2 - 52 + r**2 - 8*r**2 + 5*r**2.\nAnswer: 2*r**2 - 61","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 3:42 AM?\nAnswer: 11:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*5)\/2*(-814)\/(-2442)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 384101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**7\/m)*m)\/(m**(1\/5)*m))\/(m**(-2)\/(m**(-6\/7)*m)) assuming m is positive.\nAnswer: m**(-107\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2265036.\nAnswer: 2, 3, 188753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543 is divided by 184?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 28 = 0. Let y(p) = -4*p**2 + 4*p + 6. Let j(d) = -d**2 + d + 1. Let x(m) = -3*j(m) + y(m). Let k be x(0). Solve 0 = -5*a - k - n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5\/(s**(-8\/5)*s)*s**(-7\/6)\/(s\/(s\/(s\/(s*s*s**1*s)))) assuming s is positive.\nAnswer: s**(223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -17090*r**3 - 7*r**2 + 7. Let d(l) = -25635*l**3 - 10*l**2 + 10. What is 7*d(a) - 10*f(a)?\nAnswer: -8545*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 15 = 1. Does 21 divide -28*(3\/m)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/280 and -11\/175630.\nAnswer: 702520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4864, 5864, 8522, 13666, 22124, 34724?\nAnswer: 52294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 1:28 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-9))\/(q*q\/q**(-6)))**(-2\/57) assuming q is positive.\nAnswer: q**(-4\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 62441874?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 j, 1 n, and 1 q when four letters picked without replacement from qqajanqnqajqajnn?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*q**2 - 43*q + 2 + 43*q)*(67*q + 12*q - 25*q + 31*q).\nAnswer: -2720*q**3 + 170*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -0.1, -9, -4\/3, 11\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -31*a + 3587. Calculate m(116).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 15 = -3*u - 3*w, 3*u + 21 = -5*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*n + 2*v - 3*v, -3*n + 3*v + 18 = 0. Suppose i = -3*m + 75, n*i - 2*m - 142 = -0*i. Does 8 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18309, 18311, 18313, 18315, 18317, 18319?\nAnswer: 18321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -590 - 301 = -13*p + 46*p. Which is smaller: -92 or p?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3773261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**2. Let u(b) be the third derivative of -b**5\/15 - 3*b**2. Determine v(u(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (136\/(-170))\/(1\/70). Let q = i + 1415. What are the prime factors of q?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -866271*h**4 + 369376*h**2?\nAnswer: -20790504*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-2))\/h)\/(h\/(h*h**(-28)*h*h))*(h\/(h*h**(4\/17)\/h*h*h))**(3\/8))**45 assuming h is positive.\nAnswer: h**(-174195\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, i: 1, k: 3}. Give prob of picking 2 k and 1 w.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 8*s. Let d(w) = 13*w**2. Give d(f(o)).\nAnswer: 832*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 105, 99, 83, 51, -3, -85, -201, -357?\n\"Answer: -y**3 + y**2 - 2*y + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 = f + 36. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21233 by -8.\nAnswer: 21233\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -60*h + 64*h. Let p = 201 - 202. Sort 0, p, 3, h in descending order.\nAnswer: h, 3, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 j when two letters picked without replacement from jaaaajja?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 337.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2502376.83635 less than 1?\nAnswer: 2502377.83635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4978279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, -5, 10\/7?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88 is divided by 73.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(4\/3)\/h)\/(h*h**(2\/3)\/h*h))\/((h**(-2)\/h)\/(h*h\/h**(-4)*h)) assuming h is positive.\nAnswer: h**(29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.037 and 8?\nAnswer: 2.963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 10*i + 11 = -12*i, -48*i - 226 = 9*b - 59*i for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -143956871*x - 116843229 wrt x?\nAnswer: -143956871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3137*p + 28243. Give v(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165153889 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8446252 and 888224.\nAnswer: 2708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*((2*sqrt(405))**2 - sqrt(405)).\nAnswer: -45*sqrt(5) + 8095","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 y when two letters picked without replacement from {v: 1, k: 6, x: 4, y: 3}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w - 9. Let m be v(5). Suppose -3 + 15 = 2*d - z, -3*d + m = -3*z. Suppose 33 = 5*r + 8. Calculate the greatest common factor of d and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6739892235 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 3*b**3 + 3597*b**2 + 1208160*b + 124243200 = 0?\nAnswer: -719, -240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/4)\/(2\/(-38)). Suppose -359 = 3*u - 4*q - i, 0 = u - 3*q + 91. Let c = 194 + u. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 + -34 + 1\/(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3527798587 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 10*t**2 + 7*t - 12. Let j be k(-9). Suppose j*g - 106 - 398 = 0. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 10*a - 3. Let b(t) = 1559*t**2 + 3*t + 2. Determine m(b(f)).\nAnswer: 15590*f**2 + 30*f + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 11*d = 47*d - 49. Solve -d + 16 = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2805?\nAnswer: 3, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.4, 5, 429 in decreasing order.\nAnswer: 429, 5, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 2*c + 2 + 3)*(-104*c - 8130 + 71*c + 34*c - 20634) as w + b*c + v*c**2 and give b.\nAnswer: 57526","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001271 rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 5*l. Let q be o(-5). Let b be (q - 0) + 3\/1. Suppose -5*v = -10*v + 80. Solve v = -b*c + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 250083 is divided by 5110.\nAnswer: 4803","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -912, 344, 1648, 3024, 4496, 6088, 7824, 9728?\n\"Answer: 4*j**3 + 1228*j - 2144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 142989?\nAnswer: 3, 7, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211 + 307. Let f = -191 - -198. Suppose f*u = 21*u - 168. What is the highest common factor of p and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 1321740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2592\/(-45) - 275\/(-11) - (-2)\/(-5)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, -0.5, -5, -4, -55\/83.\nAnswer: -5, -4, -55\/83, -0.5, -0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -16, -15, -12, -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(297)\/(sqrt(11)*3).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -3*q - 17. Let m be (800\/(-252))\/5 + 42\/49. Which is the closest to q? (a) m (b) -0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-5)*(-20)\/(-3). Let u = 22 + -2. Let w = u + -12. Calculate the highest common divisor of w and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2552, 2655, 2832, 3089, 3432, 3867, 4400, 5037?\nAnswer: 5784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3186 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - m**5 + 2*m**5 + 2*m**5 - 2*m**5 - m**5 + 2*m**5 - 3*m**5 + (2*m - 2*m + m**4)*(-m + 0 + 0) - 5 - m**5 + 5 + 6*m**5 - 9*m**5 + 4*m**2 - 2*m**2.\nAnswer: -6*m**5 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*(p\/(p*((p*p*p\/p**(-2\/3)*p)\/p*p)\/p))\/p)**(1\/11)*(p**(-2\/3))**(-48))\/((p*p*p\/p**(2\/21))\/(p*p**(-1)*p))**44 assuming p is positive.\nAnswer: p**(-365\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.13 * 1139900.\nAnswer: -1288087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 27478*p + 22806?\nAnswer: 27478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.2 + 3.2. Suppose -3*k - 1 = 2. What is the closest to w in k, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 99*o - 92*o + 7749 = 0. Calculate the remainder when 111 is divided by o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6 - -1)*(-6)\/10. Let o = 15 + 8. Solve -k - g + o = -6*g, -5*k = 3*g - b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**2 + 4*g**2 - 2*g**2 + (1 - 1 + g)*(-5*g + g + 3*g).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10690 is divided by 588.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 0 - (-20 + (-22 - -65) - 19)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2830, 4168, 4020, 2380, -758, -5400?\n\"Answer: -u**3 - 737*u**2 + 3556*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 249546.\nAnswer: -499092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171*w = 4*j - 168*w - 33, 0 = j + 11*w + 43 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 1, l: 1}. What is prob of sequence ln?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(-2) - 1\/(-2). Suppose -h*m - 21 = -7*m. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 431.\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.063? (a) 18\/97 (b) -9 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -24023194\nAnswer: 24023194.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) - (-22)\/3. Let i(p) = -p**2 + 11*p - 7. Suppose 527 = 6*f + 125. Calculate the remainder when f is divided by i(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8640234.\nAnswer: 2, 3, 480013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 9:21 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/5, -1\/2, 2, 5\/12, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2873\/13538 - -2\/967. Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2111 is divided by 3\/(-17) - 735\/(-119).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89080 or -88555?\nAnswer: -88555","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29.2 - -500079.\nAnswer: 500108.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 11. What is the remainder when (-19)\/(-4) + (-1)\/(-4) is divided by n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18913.8228 - -18914. Is 0.2 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 = -p - 3*d, 1343*p - 4*d - 136 = 1345*p for p.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 36 (b) -0.08 (c) 10.3896\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qzzz when four letters picked without replacement from {q: 8, z: 7, f: 3}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*p + 85*p - 995 - 185 = 159*p for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 1, j: 5, r: 3}. Give prob of picking 1 g and 2 j.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1.0648.\nAnswer: -0.31944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 2*j + 283 = 2051, 3*x - 5*j = 1339. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2609*f**3 + f**2 - 91*f wrt f.\nAnswer: -15654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-103714150)\/(-2835) - 4\/28. Let y = -36578 - i. Find the common denominator of y and 8\/45.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6168?\nAnswer: 2, 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 + w**5 + 6*w**3 - 4*w**3 + (-5*w**3 + 3*w**3 + 0*w**3)*(w**2 + 0*w**2 - 5*w**2).\nAnswer: 10*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 3*b**3 + 3*b**2. Suppose t + 0 - 1 = 0. Let h(p) = 5*p**2 - 2*p + 1. Let q(s) = 16*s**2 - 6*s + 3. Let x(o) = -3*h(o) + q(o). Give t*z(j) - 3*x(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/8 - 670629*r\/8 - 586782.\nAnswer: -3*(r + 7)*(r + 223536)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 7*h - 222. Let o(b) = 4*b - 112. Give 3*c(d) - 5*o(d).\nAnswer: d - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 292*x**2 - 280*x**2 + 284279*x - 284279*x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 2 + 4 - -2 - 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d - 9. What is f(27)?\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9256*z**2 - 4682*z**2 - 4568*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c + 1 - 3*c + 5*c)*(39 - 39 - 7*c**2).\nAnswer: -14*c**3 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*q**2 + 8*q**4 - 3*q**2 - q**2 wrt q?\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -648 divided by -216\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 3*q - 111, 2*q = -2*w - 35 - 31. Let y = w + 34. Sort 2, y, -13 in descending order.\nAnswer: 2, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39245.6 + -39246. What is the smallest value in 2\/119, -127, u?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -9*b - 11. Let l(o) = -5*o - 6. Suppose 0 = 2*c + 3*v + 10, -5*c - 67 = -0*c - 3*v. Let t(r) = c*l(r) + 6*d(r). Let j(s) = 29*s. Determine j(t(m)).\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 65 divided by 38343\nAnswer: 65\/38343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34.24 + 34.52. What is the closest to 1\/2 in -4, j, 7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 16*x**2 - 2451 + 4*x**3 + 10*x + 2443 = 0. What is x?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 0.03, 0.5, -44, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2)*(2 - 2 + 2*k) - 50263 + 2*k + 55525 - k.\nAnswer: 5*k + 5262","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dldvklvdndvkdkd. What is prob of picking 1 n, 1 v, and 2 d?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2) + sqrt(2) + sqrt(288) + -2).\nAnswer: -14*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(320)*2*2 + (1 + sqrt(320) + 5 + sqrt(320) - (-1 + sqrt(320) + sqrt(320)*3)) + 4)**2.\nAnswer: 512*sqrt(5) + 1536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -17683288.\nAnswer: 13\/17683288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 5*g + 2. Let s = 14 - 9. Let o be a(s). What is the third derivative of 2*x**2 + 2*x**2 + 5*x**3 - x**o + 2*x**2 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.7 + 10.7. What is the fourth smallest value in -1\/4, r, 5, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100000 - -122002021?\nAnswer: 122102021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 9*l - 8. Let x be t(3). What is the second derivative of -1 - c - x*c**4 + 9*c**4 + 1 wrt c?\nAnswer: -120*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -19, -2, 0.1, 0.3, 3, -1.4, 0.176?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f**3 - 49*f**2 + 34*f**4 - 38*f**4 + 2*f**3 wrt f.\nAnswer: -96*f - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -117, -261, -463, -723, -1041?\n\"Answer: -29*k**2 + k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.162 rounded to 3 dps?\nAnswer: 0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - o + 435, z - 5*o = 4*z + 309. Let x be (-291)\/(-27) - 24\/z. Solve -x = -7*c + 24 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + -2 + 4 + 3. Let p be (0 - -3)\/(-2 + o). Suppose 0 = p*v - x - 12, -26 = -4*v - x - x. Solve 0*n = 3*n + w + 11, v*w - 5 = -3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5823?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -29. Let w be 6\/10 + 36\/h. Are -2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3850 and 272195?\nAnswer: 2721950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.1 minus 267.83?\nAnswer: -239.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2 - 4. Let m(o) be the first derivative of -o**3\/3 - 7*o**2\/2 - 6*o - 5. Let b be m(-5). Let k(t) = t**2 + 3. Determine b*k(x) + 3*n(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107159284.\nAnswer: 2, 1217, 22013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -861*b**2*p*s + 2*b**2*p + 39007*b*s - 25870318*b + 2*p*s with respect to s.\nAnswer: -861*b**2*p + 39007*b + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 + 4*j**5 - 7*j**5 + 2*j + (2*j**5 - 2*j + 2*j)*(-4 + 3 + 2 + (-2 + 0 + 1)*(1 + 2 - 2) + 0 + 2 + 0 - 2 + 5 - 6).\nAnswer: -5*j**5 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 9*g + 16. Let w be c(-10). Suppose 4*x + x - 3*r = -w, -3*x + r - 2 = 0. Solve x = d + 2*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 1:20 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 2)*(24*f + 12*f - 6*f)*(-7*f + 0*f + 2*f).\nAnswer: -150*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1591458 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: Collect the terms in 20*v**3 - 22*v**3 + 0*v**2 + 0*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.956 + -48.526. Let v = 39.3 + k. Let x = v + 3.4. What is x rounded to 2 dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 320?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 + 14*n - 5. Let g be (-2 + -1 - 3)\/(-6 + 4). Let t(x) = -x**2 - 5*x + 2. What is g*h(o) + 8*t(o)?\nAnswer: -2*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 478571683 rounded to the nearest one hundred thousand?\nAnswer: 478600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1211934 and 114?\nAnswer: 1211934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-14))\/(-1) + ((-371)\/(-49) - 7).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00079902311 to seven decimal places.\nAnswer: -0.000799","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 d, and 1 b when three letters picked without replacement from uuuduuuubbdu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1518 + 1437 = -9*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56486037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-11) - 6216\/154. Let o = h - -43. Solve z + 4*i = -2*z + 11, 5*i = -o*z + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/76881 and -109\/3192?\nAnswer: 11685912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 + 178 = -3*s. Let w = -17 - s. Let t = w + -21. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**3 + 72*r**2 - 324*r = 0. Calculate r.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from {s: 2, m: 1, b: 1, w: 1, z: 1, r: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1286 = 7*p - 254. What is the third derivative of 50*a**2 - p*a**3 + 271*a**3 + 27*a**2 wrt a?\nAnswer: 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -70*k - 2. Let n(a) be the third derivative of a**4\/12 + 2*a**2 + 54*a. Give n(i(m)).\nAnswer: -140*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.044421, 3, -0.1 in increasing order.\nAnswer: -0.1, -0.044421, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26, -0.5, 0.2, 1\/3, -16, 0.1051?\nAnswer: 0.1051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31639000 rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 165967828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (231*a**4 - 7*a**3 + 15*a**3 - 8*a**3)*(188 + 226 - 187) to m*a**2 + j*a + o + r*a**3 + h*a**4 and give h.\nAnswer: 52437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v**4 - 2*v**3. Let m(n) = -3*n**4 + 10*n**3 + 14*n**2 + 631. Let w(h) = m(h) + 5*t(h). Find the first derivative of w(x) wrt x.\nAnswer: -72*x**3 + 28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14562 by -3.\nAnswer: 4854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from {y: 2, j: 16}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10928 is divided by 1821.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*i**3 - 26*i**3 + 50*i**3 - 38*i + 3*i**2 as t*i + w*i**3 + d + v*i**2 and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0584726805 rounded to three decimal places?\nAnswer: 0.058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 - 22*s**3 - 4*s**3 - 22*s**3.\nAnswer: -44*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -66. Suppose 17632 = -43*o + g*o. What are the prime factors of o?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41808.\nAnswer: 2, 3, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(5\/(-13))*-1. Solve -4*y + 10 = 2*d, -4*y - 3*d = -2 - z for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229, 36, 1, -58, 4, 3 in ascending order.\nAnswer: -58, 1, 3, 4, 36, 229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 815655205 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.007?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdr when three letters picked without replacement from ppprppddhttdpppddp?\nAnswer: 5\/4896","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1185 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 + 9*l**2 - 7*l + 3. Let t be v(3). Let d be 2 + t\/(-3) + -4. Sort -1, 5, d in decreasing order.\nAnswer: 5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (60\/18)\/(2\/3). Suppose j = -4*q + 21. Calculate the remainder when 6 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 1. Which is the closest to -1? (a) 5 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/16431 + 73889\/26831823. Is 1 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 400954.2ml to litres.\nAnswer: 400.9542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/55, 5\/29, -0.1, 2, -4.\nAnswer: -4, -0.1, 2\/55, 5\/29, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1443*f + 142*f - 578*f to q + t*f and give t.\nAnswer: -1879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 10*o**2 + 1636*o + 4874. Calculate u(-3).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.017 plus -276643950?\nAnswer: -276643950.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**2\/9 + 193396*n\/9 - 967030\/9 = 0. What is n?\nAnswer: -96703, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -1, -1456, 0.06, 3, 0.1, -0.05?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -15. Let c = o + -7. Let n = 2 + c. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 1:19 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waswwslllwsssewwa. What is prob of sequence wall?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0 - 121\/5*q**4 - 1331\/50*q**5 - 44\/5*q**3 + 37*q - 8\/5*q**2. Suppose s(x) = 0. Calculate x.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 24*z**5 - 6*z - 27. Let a(s) = -72*s**5 - s**2 + 16*s + 81. Let y(q) = -2*a(q) - 7*f(q). Find the second derivative of y(h) wrt h.\nAnswer: -480*h**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.037 - 1.4\nAnswer: -1.437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 5. Let s be u(17). Let j = s - -12. Suppose g = 4*v - 1172, j*v + 4*g - 879 = -3*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o**2 + 4*o + 7. Let k(m) be the second derivative of -m**4\/3 + 2*m**3\/3 + 3*m**2 + 160*m. Determine 5*d(t) - 6*k(t).\nAnswer: -t**2 - 4*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - -3.03. Let s = 77.221 + -77. Let p = -0.021 + s. Which is the second biggest value? (a) 0.1 (b) p (c) l (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2790476 to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*a = -42*a + 1404. Sort -4, a, 9, 0 in increasing order.\nAnswer: a, -4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.25 - -0.25. Let m = -0.1 - -0.5. Which is the third smallest value? (a) m (b) 6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from oowwggowgoog.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-110)\/4))\/((-8)\/16)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -359, 3, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 10) to base 4.\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -0.24 (b) 0.5 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 145943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4832 - 10338 - 4243)*(0*c - c + 2*c).\nAnswer: -19413*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 3*l - 1453, 4*u - 412 - 772 = 3*l. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -105988737.\nAnswer: 52994368.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 15) in base 7?\nAnswer: -254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -56 (b) 8 (c) 6948\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041994217 rounded to 5 dps?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 93 + 61. Suppose -j - m = m - 16, 5*j + m = 71. What is the highest common divisor of j and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11972 divided by 1\nAnswer: -11972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -67.9804 + 68. Let k = 0.02 - j. Round k to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - -4 - -32)*(-8)\/(-6). Let j be 4 - -7 - 1264\/(-32). Which is greater: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/5)\/l)\/(l\/l**(-1\/2))*l**1\/((l*l*l*l\/(l*l**(1\/7))*l)\/l))\/((l*l*l\/(l\/(l*l**10)))\/l**(7\/2))**43 assuming l is positive.\nAnswer: l**(-14457\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.61 and 0.2.\nAnswer: 0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -2\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/16*128\/(-96).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, n: 2, r: 2, g: 2, j: 1, f: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g - 102 = 51. What is the remainder when 64 is divided by 268\/22 + (g\/(-11) - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2*j**2 + 3. Let z be o(3). Let i(m) = 7*m - 3. Let x(n) = -2778 - 22*n - 17*n - 133*n + 2846 + 12*n. Determine z*x(c) - 136*i(c).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53988378 to the nearest integer?\nAnswer: 7348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-four sevenths of a week in minutes?\nAnswer: 92160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 559\/(-86)*3\/21*(-49)\/21?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000386763 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3075*o + 74183 = -3070*o, -5*z = 4*o - 185466. Calculate the highest common factor of 34 and z.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -341 + 205. Let d = 129.7 + l. Let q = -7.16 - d. Round q to 1 dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1658, 3259, 4860, 6461, 8062, 9663?\n\"Answer: 1601*f + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 12:13 AM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 4732 = 12*o. Suppose -4*i + 332 = -5*c, -5*i = 2*c - o + 228. Let q = 26 + i. Calculate the remainder when q is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -294279.2067 to the nearest 10.\nAnswer: -294280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.038779152 rounded to three dps?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 4*n + 6. Give c(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -729*k. Let z(p) = 3*p**2. Determine m(z(r)).\nAnswer: -2187*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, f: 2, u: 7, r: 1, v: 4}. Give prob of sequence fuv.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 18886194407618\nAnswer: -18886194407618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + 0.01. Let g = -4.2 - -1.28. Let k = g + o. Put 4\/5, k, -1\/5 in ascending order.\nAnswer: k, -1\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256583.\nAnswer: 11, 47, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 252762671563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -257 (base 13) to base 3.\nAnswer: -120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/10 + 6\/15. Suppose -65 = -5*d - i*v, -3*d = -v - 13 - 26. Let q(f) = f**3 + 5*f**2 - 6*f + 2. Let p be q(-6). Solve 3*j = p + d for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z**2 - 424*z + 124. What is k(47)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*d + 49610 = -50*d. Solve d - 400 = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 488 and 12566?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z - 2. Let c be 4*(-3)\/z + 32. What is the greatest common divisor of 75 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671*v + 1482*v - 728*v.\nAnswer: 83*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 5*c - 58, 16 + 14 = 3*c - p. What is the least common multiple of 8 and c?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 4*d - 19. Let h be k(5). What is the remainder when h\/(4 - (-942)\/(-236)) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 - -4 - -8 - 4. Suppose -4*w - 4*m = m - 120, 0 = -5*w - p*m + 155. Suppose -5*q + w = 4*v, -v = -6*v - q + 28. Solve -v*d + 10 = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 152561 - -5232?\nAnswer: 160013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in milliseconds?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**3 + 5*b**2 - 94*b + 5. Let q(r) = 19*r**3 + 14*r**2 - 282*r + 14. What is 8*n(l) - 3*q(l)?\nAnswer: -l**3 - 2*l**2 + 94*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1523 + 10033 = 10*i. What are the prime factors of i?\nAnswer: 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 21 = -7. Let j = m + -9. Suppose 0 = -9*f + j*f + 4. Which is smaller: -2\/7 or f?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 702 + -172. Let a(b) = -6*b + 8. Let v be a(1). Suppose 0 = v*l + 6 + 2, -4*l + o = 3*y. What are the prime factors of y?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26 - 12*v**3 - 17*v**2 - 55 + 29 wrt v.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/((-2 + -10)\/(-3576)) is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, b: 2, z: 2, d: 3}. Give prob of picking 1 d, 1 b, 1 j, and 1 z.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14)\/(-175)*20)\/((-2)\/(-5)). Let n(m) = -m**3 + 3*m**2 + 6*m - 4. What is n(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niiieikiiieki. What is prob of sequence ikii?\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - (8 - 8))\/1. Let q be (-6)\/(-6) - (0 - -6). Which is the closest to h? (a) 2 (b) q (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 242*v - 11632. Calculate j(48).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 680 and 1530.\nAnswer: 6120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + 2 - 151514880\/(-35)) + 9\/21. Round f to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -5*x - x - 2 + 2*x. Suppose -4*m - 13 - 61 = -2*a, 5*a + 2*m - 125 = 0. What is the remainder when a is divided by u(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -6*s - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*h**2 - 6*h**2 + 0*h**2)*(2*h - 4 + 4) + 2*h**2 - 2*h**2 - 2*h**3)*(0 + h + 0 + (-2 + 0 + 3)*(-3*h + 2*h + 2*h)).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d + 1. Let u be m(4). Suppose 17 - 63 = -2*n. Solve 4*g + i + n = 2*i, -3*g + 2*i = u for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 64. What is the greatest common factor of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/(b*b**(-11)))\/((b*b**(-2\/25))\/b) assuming b is positive.\nAnswer: b**(302\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 4*z - 1. Let x be d(-5). Let p(m) be the first derivative of 0*m**3 - 2 - 1\/4*m**x + 2*m + 0*m**2. What is the derivative of p(u) wrt u?\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 28. Let v be (-81)\/((-18)\/4 - -3). Suppose -9*j - v = -m*j. What is the greatest common factor of 90 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 142*j + 93*j**2 + 1159*j**2 - 4 - 2.\nAnswer: 1252*j**2 + 142*j - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 + 14 = 5*j. Is 8\/j - 86621\/(-95) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y - 8. Let g(b) = 1. Let a(q) = 8*g(q) + m(q). Suppose 24*i - 27*i = -6. Let p(w) = -2*w**2 - w**i + 8*w**2. Give a(p(r)).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -670, -1605, -2542, -3481, -4422, -5365?\n\"Answer: -w**2 - 932*w + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 11*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33193664813 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l + 3*v + 29, 3*l + 18 = 2*v - 4*v for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 5999 = -y, 16*w = -5*y + 18*w + 30030. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 690 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t = -6*t - 4. Solve t + 8 = -3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000039065796 to seven decimal places.\nAnswer: -0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 10 - 3*r**2 - 9*r + 0*r**2 + 4*r**2. Let f be b(8). What is the third derivative of 2*d**5 + 5*d**f - 4*d**2 - 2*d**2 wrt d?\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 14. What is the nearest to -1 in t, 2\/13, 0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.03 (b) 1481 (c) 4 (d) 2\/31 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2018.836*-0.002\nAnswer: 4.037672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - f**2 + f - 1. Let x(u) = -u**3 - 14*u**2 - 1. Let p be x(-14). Let y(s) = 4*s**2 + 6*s - 6. Let h(o) = p*l(o) + y(o). Calculate h(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 3. Let w = n + 6. Let c = w - 3. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of 27*a**2 + 0 - 1\/8*a**4 + 0*a - 10\/3*a**3. Let h be j(-10). Solve -5*k = -0*k + h for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -3072\nAnswer: 7\/3072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*w - 2 + 2 - 23*w - 1804*w**3 + 1805*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -487 divided by -6.\nAnswer: 487\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let h(f) = 10*f - 15. Let x(c) = 3*c + 3*c - 5*c - 1. Let i(y) = 2*h(y) - 30*x(y). Give i(a(g)).\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -4*l. Let y = -1 - l. Let d be 22\/12 + 22\/132. Solve -d = -c + 2*i - y, -2*i + 2 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/67 or 84?\nAnswer: -12\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 3, -7, -1, -9 in increasing order.\nAnswer: -9, -7, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11)*-1 - sqrt(11)) + -2 - (sqrt(891)*-2)**2 - sqrt(55)\/(sqrt(35)\/sqrt(63)).\nAnswer: -3566 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 568 and 24?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 3. Determine w(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -415583, -831164, -1246745, -1662326?\nAnswer: -2077907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3430751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**9\/151200 + k**8\/16800 - k**7\/4200 + k**6\/1800 - k**5\/6 - k**2. Let b(f) be the third derivative of h(f). Factor b(a).\nAnswer: -2*(a - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}